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- W4300076718 abstract "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-Riemannian submersions $pi : (E, g) rightarrow (B, -g_{B}) $ under the condition with $(B, g_{B})$ Riemannian, the fiber closed Riemannian, and the horizontal distribution integrable. Then we prove that, if the lightlike geodesically complete or timelike geodesically complete semi-Riemannian manifold $E$ has some positivity of curvature, then the fundamental group of the fiber is finite. Moreover we construct an example of semi-Riemannian submersions with some positivity of curvature, non-integrable horizontal distribution, and the finiteness of the fundamental group of the fiber." @default.
- W4300076718 created "2022-10-03" @default.
- W4300076718 creator A5052690487 @default.
- W4300076718 date "2017-04-17" @default.
- W4300076718 modified "2023-09-29" @default.
- W4300076718 title "On the fundamental group of semi-Riemannian manifolds with positive curvature tensor" @default.
- W4300076718 doi "https://doi.org/10.48550/arxiv.1704.04944" @default.
- W4300076718 hasPublicationYear "2017" @default.
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