Hessian Tensor and Standard Static Space-times

Details Hessian Tensor and Standard Static Space-times Hessian Tensor and Standard Static Space-times

2006-07-05

arxiv.org/abs/math/0607113v2

Advances in Lorentzian Geometry - M. Plaue and M. Scherfner (eds.) - Shaker Verlag, Germany, 2008. -- http://www.shaker.eu/c

Mathematics

Differential Geometry

12 pages, changed title and content

Scientific paper

In this brief survey, we will remark the interaction among the Hessian tensor on a semi-Riemannian manifold and some of the several questions in Lorentzian (and also in semi-Riemannian) geometry where this 2-covariant tensor is involved. In particular, we deal with the characterization of Killing vector fields and the study of a set of consequences of energy conditions in the framework of standard static space-times.

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