Acta Mathematica Hungarica

, Volume 122, Issue 1, pp 45–58

Generalized Cauchy-Riemann lightlike submanifolds of indefinite Sasakian manifolds

Article

DOI: 10.1007/s10474-008-7221-8

Cite this article as:
Duggal, K.L. & Sahin, B. Acta Math Hung (2009) 122: 45. doi:10.1007/s10474-008-7221-8

Abstract

We study a class of submanifolds, called Generalized Cauchy-Riemann (GCR) lightlike submanifolds of indefinite Sasakian manifolds as an umbrella of invariant, screen real, contact CR lightlike subcases [8] and real hypersurfaces [9]. We prove existence and non-existence theorems and a characterization theorem on minimal GCR-lightlike submanifolds.

Key words and phrases

degenerate metricCR-submanifoldsSasakian manifolds

2000 Mathematics Subject Classification

53C1553C4053C50

Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsUniversity of WindsorWindsorCanada
  2. 2.Department of MathematicsInonu UniversityMalatyaTurkey