Personal information

Emails & domains

Verified email addresses

Verified email domains

Websites & social links

My personal website

Other IDs

Scopus Author ID: 36632545200
ResearcherID: K-7460-2017

Keywords

Differential Geometry, Minimal surfaces, Constant mean curvature surfaces, Homogeneous manifolds

Countries

Spain

Biography

I got my degree in Mathematics in 2007 with an award to the most outstanding spanish student in Maths that year. I got my PhD with a FPI fellowship under the supervision of J. Pérez and M. Rodríguez in the research group “Análisis Geométrico”. I have enjoyed postdoctoral positions in Granada (1 year), Roma III (1 year), Politecnico di Torino (1 year), King’s College London (2 years), and ICMAT (8 months). I got an Assistant Professor position at Universidad Complutense de Madrid (9 months) and tenured research positions including a Ramón y Cajal fellowship at University of Jaén. At this moment, I am professor in Applied Maths at University of Jaén

My research interests are mainly related to the theory of constant mean curvature surfaces in three-manifolds, as well as other related geometric conditions such as totally umbilical surfaces, isoparametric surfaces and parallel mean curvature surfaces. I have tackled problems concerning stability, geometric estimates, and the construction and classification of examples, especially in homogeneous 3-manifolds and 3-manifolds admitting a Killing vector field, where I have specialised in geometric correspondences for surfaces.

Activities

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Employment (12)

Universidad de Jaén: Jaén, ES

2024-05-10 to present | Profesor Titular de Universidad (Departamento de Matemáticas)
Employment
Source: Self-asserted source
José M. Manzano

Universidad de Jaén: Jaén, ES

2021-01-01 to 2024-05-09 | Ramón y Cajal research fellow (Departmento de Matemáticas)
Employment
Source: Self-asserted source
José M. Manzano

University of Jaén: Jaén, ES

2020-06-22 to 2020-12-31 | Research associate (Departamento de Matemáticas)
Employment
Source: Self-asserted source
José M. Manzano

University of Granada: Granada, ES

2019-07-15 to 2020-06-21 | Research associate (Departamento de Geometría y Topología)
Employment
Source: Self-asserted source
José M. Manzano

Complutense University of Madrid: Madrid, ES

2018-11-02 to 2019-07-14 | Profesor Ayudante Doctor (Departamento de ´Álgebra, Geometría y Topología)
Employment
Source: Self-asserted source
José M. Manzano

University of Jaén: Jaén, ES

2018-09-11 to 2018-10-31 | Substitute professor (Departamento de Matemáticas)
Employment
Source: Self-asserted source
José M. Manzano

CSIC: Madrid, ES

2018-01-01 to 2018-09-10 | Postdoc researcher (ICMAT)
Employment
Source: Self-asserted source
José M. Manzano

King's College London: London, GB

2016-01-01 to 2017-12-31 | Research Associate (Department of Mathematics)
Employment
Source: Self-asserted source
José M. Manzano

Politecnico di Torino: Torino, IT

2015-02-01 to 2015-12-31 | Postdoc researcher (Dipartimento di Science Matematiche)
Employment
Source: Self-asserted source
José M. Manzano

Università degli Studi Roma Tre: Roma, IT

2014-02-01 to 2015-01-31 | Postdoc researcher (Dipartimento di Matematica e Fisica)
Employment
Source: Self-asserted source
José M. Manzano

Universidad de Granada: Granada, ES

2013-01-16 to 2014-01-15 | Postdoc researcher (Departamento de Geometría y Topología)
Employment
Source: Self-asserted source
José M. Manzano

Universidad de Granada: Granada, ES

2008-09-01 to 2012-08-31 | PhD Student (Departamento de Geometría y Topología)
Employment
Source: Self-asserted source
José M. Manzano

Education and qualifications (3)

Universidad de Granada: Granada, ES

2008-09-01 to 2012-08-31 | Doctor por la Universidad de Granada (Departamento de Geometría y Topología)
Education
Source: Self-asserted source
José M. Manzano

Universidad de Granada: Granada, ES

2007-09 to 2008-09 | Máster en Matemáticas (Departamento de Geometría y Topología)
Education
Source: Self-asserted source
José M. Manzano

Universidad de Granada: Granada, ES

2002-09 to 2007-07 | Licenciatura en Matemáticas
Education
Source: Self-asserted source
José M. Manzano

Professional activities (1)

Real Sociedad Matemática Española: Madrid, ES

2008-01-01 to present | Member
Membership
Source: Self-asserted source
José M. Manzano

Funding (9)

Problemas de origen físico sobre la curvatura media de superficies en espacios homogéneos

2021-01 to 2023-03 | Grant
Universidad de Jaén (Jaén, ES)
Source: Self-asserted source
José M. Manzano

Superficies de curvatura media constante en espacios homogéneos

2020-06 to 2026-08 | Grant
Ministerio de Ciencia e Innovación (Madrid, ES)
URL: https://www.ugr.es/~ftorralbo/project/pid2019-111531ga-i00/
GRANT_NUMBER: PID2019-111531GA-I00
GRANT_NUMBER: PID2022-142559NB-I00
Source: Self-asserted source
José M. Manzano

Minimal and CMC surfaces: their geometric and topological properties

2016-01 to 2017-12 | Grant
Engineering and Physical Sciences Research Council (London, GB)
GRANT_NUMBER: EP/M024512/1
Source: Self-asserted source
José M. Manzano

Geometria delle sottovarietà di varietà Riemanniane

2014-02 to 2015-12 | Grant
Ministero dell’Istruzione, dell’Università e della Ricerca (Roma, IT)
GRANT_NUMBER: no-reference-number
Source: Self-asserted source
José M. Manzano

Superficies de curvatura media paralela en 4-geometrías de Thurston

2014-01 to 2014-12 | Grant
CEI BioTIC GENIL project (CEB09-0010) (Granada, ES)
GRANT_NUMBER:

PYR-2014-26
Source: Self-asserted source
José M. Manzano

Superficies en espacios homogéneos

2011-01 to 2011-12 | Grant
CEI BioTIC GENIL project (CEB09-0010) (Granada, ES)
GRANT_NUMBER:

PYR-2010-21
Source: Self-asserted source
José M. Manzano

Análisis Geométrico

2008-09 to present | Grant
Ministerio de Ciencia e Innovación (Madrid, ES)
GRANT_NUMBER: MTM2007-61775
GRANT_NUMBER: MTM2011-22547
GRANT_NUMBER: MTM2014-52368-P
GRANT_NUMBER: MTM2017-89677-P
Source: Self-asserted source
José M. Manzano

Red Española de Análisis Geométrico

2008-09 to present | Grant
Ministerio de Ciencia e Innovación (Madrid, ES)
GRANT_NUMBER: MTM2008-01013-E
GRANT_NUMBER: MTM2009-06054-E
GRANT_NUMBER: MTM2010-09693-E
GRANT_NUMBER: MTM2011-15848-E
GRANT_NUMBER: MTM2014-57309-REDT
GRANT_NUMBER: MTM2016-81938-REDT
GRANT_NUMBER: RED2018-102361-T
Source: Self-asserted source
José M. Manzano

Análisis geométrico y aplicaciones

2008-09 to 2014-01 | Grant
Consejería de Economía, Innovación, Ciencia y Empleo, Junta de Andalucía (Sevilla, ES)
GRANT_NUMBER:

P06-FQM-01642

GRANT_NUMBER:

P09-FQM-5088
Source: Self-asserted source
José M. Manzano

Works (24)

AUDIOVISUAL RESOURCES: PROMOTING SELF-LEARNING IN MATHEMATICS

2024-07 | Conference paper
DOI: 10.21125/edulearn.2024.0967
Contributors: Miguel Ángel García-Muñoz; Juan Francisco Ruiz Ruiz; Carmen Ordóñez Cañada; Ildefonso Castro López; Cristina Rodríguez Montealegre; Joaquin Jódar Reyes; José Miguel Manzano Prego; Antonio Damas Serrano
Source: check_circle
Crossref

A duality for prescribed mean curvature graphs in Riemannian and Lorentzian Killing submersions

Mathematische Nachrichten
2024-05 | Journal article
DOI: 10.1002/mana.202300282
Contributors: Andrea Del Prete; Hojoo Lee; José Miguel Manzano
Source: check_circle
Crossref

Invariant constant mean curvature tubes around a horizontal geodesic in E(κ,τ)-spaces

Journal of Mathematical Analysis and Applications
2024-03 | Journal article
DOI: 10.1016/j.jmaa.2023.127878
Contributors: José M. Manzano
Source: check_circle
Crossref

Conjugate Plateau constructions in product spaces

arXiv
2022 | Other
EID:

2-s2.0-85127862469

Part of ISSN: 23318422
Contributors: Castro-Infantes, J.; Manzano, J.M.; Torralbo, F.
Source: Self-asserted source
José M. Manzano via Scopus - Elsevier

Horizontal Delaunay surfaces with constant mean curvature in S2xR and H2xR

Cambridge Journal of Mathematics
2022 | Journal article
DOI: 10.4310/cjm.2022.v10.n3.a2
EID:

2-s2.0-85095324010

Part of ISSN: 23318422
Part of ISSN: 2168-0930
Part of ISSN: 2168-0949
Contributors: José M. Manzano; Francisco Torralbo
Source: Self-asserted source
José M. Manzano
grade
Preferred source (of 2)‎

A construction of constant mean curvature surfaces in H2xR and the Krust property

International Mathematics Research Notices
2022-09-27 | Journal article
DOI: 10.1093/imrn/rnab353
Part of ISSN: 1073-7928
Part of ISSN: 1687-0247
EID:

2-s2.0-85120937584

Part of ISSN: 23318422
Contributors: Jesús Castro-Infantes; José M Manzano; Magdalena Rodríguez
Source: Self-asserted source
José M. Manzano
grade
Preferred source (of 2)‎

Genus one minimal k-noids and saddle towers in H2xR

Journal of the Institute of Mathematics of Jussieu
2022-01-06 | Journal article
DOI: 10.1017/S1474748021000591
EID:

2-s2.0-85106674073

Part of ISSN: 23318422
Source: Self-asserted source
José M. Manzano
grade
Preferred source (of 4)‎

Isoparametric surfaces in E(κ, τ)-spaces

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
2021 | Journal article
DOI: 10.2422/2036-2145.201805_006
EID:

2-s2.0-85127884561

Part of ISSN: 20362145 0391173X
EID:

2-s2.0-85092830224

Part of ISSN: 23318422
Source: Self-asserted source
José M. Manzano
grade
Preferred source (of 3)‎

Compact embedded surfaces with constant mean curvature in S2xR

American Journal of Mathematics
2020 | Journal article
DOI: 10.1353/ajm.2020.0050
EID:

2-s2.0-85093036318

Part of ISSN: 23318422
Source: Self-asserted source
José M. Manzano
grade
Preferred source (of 3)‎

Generalized calabi correspondence and complete spacelike surfaces

Asian Journal of Mathematics
2019 | Book
DOI: 10.4310/AJM.2019.v23.n1.a3
EID:

2-s2.0-85068057213
Contributors: Lee, H.; Manzano, J.M.
Source: Self-asserted source
José M. Manzano via Scopus - Elsevier

Dual quadratic differentials and entire minimal graphs in Heisenberg space

Annals of Global Analysis and Geometry
2019-03-21 | Journal article
DOI: 10.1007/s10455-018-9623-3
Contributors: José M. Manzano
Source: check_circle
Crossref
grade
Preferred source (of 4)‎

Compact stable surfaces with constant mean curvature in Killing submersions

Annali di Matematica Pura ed Applicata
2017 | Journal article
DOI: 10.1007/s10231-016-0619-y
EID:

2-s2.0-84994361382
Contributors: Lerma, A.M.; Manzano, J.M.
Source: Self-asserted source
José M. Manzano via Scopus - Elsevier
grade
Preferred source (of 2)‎

On the conformal duality between constant mean curvature surfaces in E(κ,τ) and L(κ,τ)

Young Researcher Workshop on Differential Geometry in Minkowski Space
2017 | Book chapter
ISBN: 9788433861320
EID:

2-s2.0-85093004928

Part of ISSN: 23318422
Source: Self-asserted source
José M. Manzano
grade
Preferred source (of 2)‎

Height and Area Estimates for Constant Mean Curvature Graphs in E(κ,τ)-Spaces

The Journal of Geometric Analysis
2017-10-20 | Journal article
DOI: 10.1007/s12220-017-9810-7
Source: Self-asserted source
José M. Manzano
grade
Preferred source (of 3)‎

Björling type problems for elastic surfaces

Rendiconti del Seminario Matemático, Università e Politècnico di Torino (to appear)
2016 | Journal article
EID:

2-s2.0-85043571582
Source: Self-asserted source
José M. Manzano
grade
Preferred source (of 2)‎

Compact embedded minimal surfaces in S2xS1

Communications in Analysis and Geometry
2016 | Journal article
DOI: 10.4310/CAG.2016.v24.n2.a7
Source: Self-asserted source
José M. Manzano
grade
Preferred source (of 2)‎

Parallel mean curvature surfaces in four-dimensional homogeneous spaces.

Proceedings Book of the International Workshop on Theory of Submanifolds
2016 | Book chapter
EID:

2-s2.0-85093296724

Part of ISSN: 23318422
ISBN: 9789755614878
Source: Self-asserted source
José M. Manzano
grade
Preferred source (of 2)‎

On complete constant mean curvature vertical multigraphs in E(κ,τ)

J. Geom. Anal.
2015 | Magazine article
DOI: 10.1007/s12220-013-9431-8
Source: Self-asserted source
José M. Manzano
grade
Preferred source (of 2)‎

The classification of totally umbilical surfaces in homogeneous 3-manifolds

Math. Z.
2015 | Journal article
DOI: 10.1007/s00209-014-1381-8
Source: Self-asserted source
José M. Manzano
grade
Preferred source (of 2)‎

New examples of constant mean curvature surfaces in S²×R and H²×R

Michigan Math. J.
2014 | Magazine article
DOI: 10.1307/mmj/1417799222
Source: Self-asserted source
José M. Manzano
grade
Preferred source (of 2)‎

On the classification of killing submersions and their isometries

Pacific Journal of Mathematics
2014 | Journal article
DOI: 10.2140/pjm.2014.270.367
EID:

2-s2.0-84897964846
Contributors: Manzano, J.M.
Source: Self-asserted source
José M. Manzano via Scopus - Elsevier
grade
Preferred source (of 2)‎

Estimates for constant mean curvature graphs in M × ℝ

Revista Matematica Iberoamericana
2013 | Journal article
DOI: 10.4171/RMI/756
EID:

2-s2.0-84897585226
Contributors: Manzano, J.M.
Source: Self-asserted source
José M. Manzano via Scopus - Elsevier
grade
Preferred source (of 2)‎

Superficies de curvatura media constante en espacios homogéneos

Universidad de Granada
2012 | Book
ISBN: 9788490282694
Source: Self-asserted source
José M. Manzano

Parabolic stable surfaces with constant mean curvature

Calc. Var. Partial Differential Equations
2011 | Journal article
DOI: 10.1007/s00526-010-0383-6
Source: Self-asserted source
José M. Manzano
grade
Preferred source (of 2)‎

Peer review (10 reviews for 7 publications/grants)

Review activity for Annali di matematica pura ed applicata. (2)
Review activity for Differential geometry and its applications. (1)
Review activity for Geometriae Dedicata (1)
Review activity for Journal of mathematical analysis and applications. (2)
Review activity for Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. (2)
Review activity for Revista matemática complutense. (1)
Review activity for Transformation groups. (1)
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