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arXiv · 1006.1329

Lightlike Osserman submanifolds of semi-Riemannian manifolds

Cyriaque Atindogbe·Oscar Lungiambudila·Joël Tossa
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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.

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Cyriaque Atindogbe, Oscar Lungiambudila, Joël Tossa. 2010-06-07. Lightlike Osserman submanifolds of semi-Riemannian manifolds. https://arxiv.org/abs/1006.1329

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