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math.DG2017
On the fundamental group of semi-Riemannian manifolds with positive curvature tensor
Jun-ichi Mukuno
This paper presents an investigation of the relation between some positivity of the curvature and the finiteness of fundamental groups in semi-Riemannian geometry. We consider semi…
math.DG2014
On the fundamental group of a complete globally hyperbolic Lorentzian manifold with a lower bound for the curvature tensor
Jun-ichi Mukuno
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 o…
math.DG2011
Properly discontinuous isometric group actions on inhomogeneous Lorentzian manifolds
Jun-ichi Mukuno
In the present paper, we prove that no infinite group acts isometrically, effectively, and properly discontinuously on a certain class of Lorentzian manifolds that are not necessar…