English

$A^\nabla$-tensors on lightlike hypersurfaces

Differential Geometry 2007-05-23 v1

Abstract

This paper introduces \anabla\anabla-tensors on lightlike hypersurfaces Mn+1M^{n+1} of signature (0,n)(0,n), (n1)(n\geq 1) and investigates on their properties in connection with the null geometry of MM. In particular, we show that there is an interplay between existence of \anabla\anabla-tensors of certain type and lightlike warped product structures.

Keywords

Cite

@article{arxiv.0704.3379,
  title  = {$A^\nabla$-tensors on lightlike hypersurfaces},
  author = {Cyriaque Atindogbe and Lionel Bérard Bergery},
  journal= {arXiv preprint arXiv:0704.3379},
  year   = {2007}
}
R2 v1 2026-06-21T08:22:16.643Z