Personal Information

Biography

Publications

• Public

  Non existence of totally contact umbilical GCR-lightlike submanifolds of indefinite Cosymplectic manifolds 2013

  http://link.springer.com/article/10.1007/s10013-013-0010-x
• Public

  Characterization of holomorphic bisectional curvature of GCR-lightlike submanifolds 2012

  http://www.hindawi.com/journals/amp/2012/356263/
• Public

  Characterization of holomorphic bisectional curvature of GCR-lightlike submanifolds: Advances in Mathematical Physics 2012

  DOI: 10.1155/2012/356263
  http://www.scopus.com/inward/record.url?eid=2-s2.0-84864939792&partnerID=MN8TOARS
  Kumar, S. and Kumar, R. and Nagaich, R.K., (2012). "Characterization of holomorphic bisectional curvature of GCR-lightlike submanifolds", Advances in Mathematical Physics
• Public

  Integrability of distributions in CR-lightlike submanifolds of indefinite Sasakian manifolds: International Journal of Mathematical Analysis 2012

  http://www.scopus.com/inward/record.url?eid=2-s2.0-84865117386&partnerID=MN8TOARS
  Gogna, M. and Kumar, R. and Nagaich, R.K., (2012). "Integrability of distributions in CR-lightlike submanifolds of indefinite Sasakian manifolds", International Journal of Mathematical Analysis, vol. 6, no. 1-4, pp. 199-207
• Public

  Integrability of distributions in GCR-lightlike submanifolds of indefinite kaehler manifolds: Communications of the Korean Mathematical Society 2012

  DOI: 10.4134/CKMS.2012.27.3.591
  http://www.scopus.com/inward/record.url?eid=2-s2.0-84871409406&partnerID=MN8TOARS
  Kumar, R. and Kumar, S. and Nagaich, R.K., (2012). "Integrability of distributions in GCR-lightlike submanifolds of indefinite kaehler manifolds", Communications of the Korean Mathematical Society, vol. 27, no. 3, pp. 591-602
• Public

  On GCR-lightlike product of Indefinite Cosymplectic manifolds 2012

  http://www.hindawi.com/journals/ijmms/aip/
• Public

  On GCR-lightlike product of indefinite cosymplectic manifolds: International Journal of Mathematics and Mathematical Sciences 2012

  DOI: 10.1155/2012/605816
  http://www.scopus.com/inward/record.url?eid=2-s2.0-84866103763&partnerID=MN8TOARS
  Jain, V. and Kumar, R. and Nagaich, R.K., (2012). "On GCR-lightlike product of indefinite cosymplectic manifolds", International Journal of Mathematics and Mathematical Sciences, vol. 2012
• Public

  GCR-lightlike product of indefinite Sasakian manifolds: Advances in Mathematical Physics 2011

  DOI: 10.1155/2011/983069
  http://www.scopus.com/inward/record.url?eid=2-s2.0-80052683175&partnerID=MN8TOARS
  Kumar, R. and Jain, V. and Nagaich, R.K., (2011). "GCR-lightlike product of indefinite Sasakian manifolds", Advances in Mathematical Physics
• Public

  On CR-lightlike product of an indefinite Kaehler manifold: International Journal of Mathematics and Mathematical Sciences 2011

  DOI: 10.1155/2011/857953
  http://www.scopus.com/inward/record.url?eid=2-s2.0-79959260906&partnerID=MN8TOARS
  Kumar, R. and Kaur, J. and Nagaich, R.K., (2011). "On CR-lightlike product of an indefinite Kaehler manifold", International Journal of Mathematics and Mathematical Sciences, vol. 2011
• Public

  Constancy of ø-holomorphic sectional curvature of (ε)-Sasakian manifolds: Lobachevskii Journal of Mathematics 2009

  DOI: 10.1134/S1995080209010107
  http://www.scopus.com/inward/record.url?eid=2-s2.0-63449116581&partnerID=MN8TOARS
  Rani, R. and Kumar, R. and Nagaich, R.K., (2009). "Constancy of ø-holomorphic sectional curvature of (ε)-Sasakian manifolds", Lobachevskii Journal of Mathematics, vol. 30, no. 1, pp. 76-80
• Public

  Indefinite RK-manifolds of constant, holomorphic sectional curvature: International Journal of Mathematical Analysis 2009

  http://www.scopus.com/inward/record.url?eid=2-s2.0-69549135453&partnerID=MN8TOARS
  Kumar, R. and Nagaich, R.K., (2009). "Indefinite RK-manifolds of constant, holomorphic sectional curvature", International Journal of Mathematical Analysis, vol. 3, no. 9-12, pp. 527-534
• Public

  The axiom of spheres in semi-riemannian geometry with lightlike submanifolds: Kodai Mathematical Journal 2009

  DOI: 10.2996/kmj/1238594545
  http://www.scopus.com/inward/record.url?eid=2-s2.0-77956669933&partnerID=MN8TOARS
  Kumar, R. and Rani, R. and Nagaich, R.K., (2009). "The axiom of spheres in semi-riemannian geometry with lightlike submanifolds", Kodai Mathematical Journal, vol. 32, no. 1, pp. 52-58
• Public

  Generalization of cartan's lemma for indefinite K-spaces: Lobachevskii Journal of Mathematics 2008

  DOI: 10.1007/s12202-008-1005-y
  http://www.scopus.com/inward/record.url?eid=2-s2.0-50849085443&partnerID=MN8TOARS
  Kumar, R. and Nagaich, R.K., (2008). "Generalization of cartan's lemma for indefinite K-spaces", Lobachevskii Journal of Mathematics, vol. 29, no. 1, pp. 21-23
• Public

  Totally Contact Umbilical Lightlike Hypersurfaces of Indefinite S-manifolds

  http://www.hindawi.com/journals/jmath/2013/395787/

Grants

Patents