Point Leaf Maximal Singular Riemannian Foliations in Positive Curvature
Differential Geometry
2018-05-03 v2 Metric Geometry
Abstract
We generalize the notion of fixed point homogeneous isometric group actions to the context of singular Riemannian foliations. We find that in some cases, positively curved manifolds admitting these so-called point leaf maximal SRF's are diffeo/homeomorphic to compact rank one symmetric spaces. In all cases, manifolds admitting such foliations are cohomology CROSSes or finite quotients of them. Among non-simply connected manifolds, we find examples of such foliations which are non-homogeneous
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Cite
@article{arxiv.1804.09335,
title = {Point Leaf Maximal Singular Riemannian Foliations in Positive Curvature},
author = {Adam Moreno},
journal= {arXiv preprint arXiv:1804.09335},
year = {2018}
}
Comments
15 pages