On the fundamental group of a complete globally hyperbolic Lorentzian manifold with a lower bound for the curvature tensor

Jun-ichi Mukuno

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arXiv · 1409.0957

On the fundamental group of a complete globally hyperbolic Lorentzian manifold with a lower bound for the curvature tensor

Jun-ichi Mukuno

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Abstract

In this paper, we study the fundamental group of a certain class of globally hyperbolic Lorentzian manifolds with a positive curvature tensor. We prove that the fundamental group of lightlike geodesically complete parametrized Lorentzian products is finite under the conditions of a positive curvature tensor and the fiber compact.

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Jun-ichi Mukuno. 2014-09-03. On the fundamental group of a complete globally hyperbolic Lorentzian manifold with a lower bound for the curvature tensor. https://arxiv.org/abs/1409.0957

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