Lightlike Osserman submanifolds of semi-Riemannian manifolds
Differential Geometry
2010-06-08 v1
Abstract
In this paper, we study Jacobi operators associated to algebraic curvature maps (tensors) on lightlike submanifolds M. We investigate conditions for an induced Rie- mann curvature tensor to be an algebraic curvature tensor on M. We introduce the notion of lightlike Osserman submanifolds and an example of 2-degenerate Osserman metric is given. Finally we give some results of symmetry properties on lightlike hy- persurfaces from Osserman condition.
Keywords
Cite
@article{arxiv.1006.1329,
title = {Lightlike Osserman submanifolds of semi-Riemannian manifolds},
author = {Cyriaque Atindogbe and Oscar Lungiambudila and Joël Tossa},
journal= {arXiv preprint arXiv:1006.1329},
year = {2010}
}
Comments
20 pages