English

A note on quasi generalized CR-lightlike geometry in indefinite nearly $\mu$-Sasakian manifold

Differential Geometry 2017-03-08 v1

Abstract

The concept of quasi generalized CR-lightlike was first introduced by the authors in [18]. In this paper, we focus on ascreen and co-screen quasi generalized CR-lightlike submanifolds of indefinite nearly μ\mu-Sasakian manifold. We prove an existence theorem for minimal ascreen quasi generalized CR-lightlike submanifolds admitting a metric connection. Classification theorems on nearly parallel and auto-parallel distributions on a co-screen quasi generalized CR-lightlike submanifold are also given. Several examples are also constructed, where necessary, to illustrate the main ideas.

Keywords

Cite

@article{arxiv.1607.03437,
  title  = {A note on quasi generalized CR-lightlike geometry in indefinite nearly $\mu$-Sasakian manifold},
  author = {Fortuné Massamba and Samuel Ssekajja},
  journal= {arXiv preprint arXiv:1607.03437},
  year   = {2017}
}

Comments

18 pages