The spaces of non-contractible closed curves in compact space forms
Geometric Topology
2017-12-19 v2 Differential Geometry
Abstract
We calculate the rational equivariant cohomology of the spaces of non-contractible loops in compact space forms and show how to apply these calculations for proving the existence of closed geodesics.
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Cite
@article{arxiv.1604.05237,
title = {The spaces of non-contractible closed curves in compact space forms},
author = {I. A. Taimanov},
journal= {arXiv preprint arXiv:1604.05237},
year = {2017}
}
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16 pages