Isometry-invariant geodesics and nonpositive derivations of the cohomology

Stefan Papadima; Laurentiu Paunescu

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arXiv · math/0311340

Isometry-invariant geodesics and nonpositive derivations of the cohomology

Stefan Papadima·Laurentiu Paunescu

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Abstract

We introduce a new class of zero-dimensional weighted complete intersections, by abstracting the essential features of rational cohomology algebras of equal rank homogeneous spaces of compact connected Lie groups. We prove that, on a 1-connected closed manifold M whose rational cohomology algebra belongs to this class, every isometry has a non-trivial invariant geodesic, for any metric on M. We use rational surgery to construct large classes of new examples for which the above result may be applied.

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BibTeX RIS

Stefan Papadima, Laurentiu Paunescu. 2003-11-20. Isometry-invariant geodesics and nonpositive derivations of the cohomology. https://arxiv.org/abs/math/0311340

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