English

On contact screen conformal null submanifolds

Differential Geometry 2019-11-11 v1

Abstract

First, we prove that indefinite Sasakian manifolds do not admit any screen conformal rr-null submanifolds, tangent to the structure vector field. We, therefore, define a special class of null submanifolds, called; {\it contact screen conformal} rr-null submanifold of indefinite Sasakian manifolds. Several characterization results, on the above class of null submanifolds, are proved. In particular, we prove that such null submanifolds exist in indefinite Sasakian space forms of constant holomorphic sectional curvatures of 3-3.

Cite

@article{arxiv.1911.02956,
  title  = {On contact screen conformal null submanifolds},
  author = {Samuel Ssekajja},
  journal= {arXiv preprint arXiv:1911.02956},
  year   = {2019}
}

Comments

12pages

R2 v1 2026-06-23T12:08:38.602Z