Abstract
AbstractManifolds all of whose geodesics are closed have been studied a lot, but there are only few examples known. The situation is different if one allows in addition for orbifold singularities. We show, nevertheless, that the abundance of new examples is restricted to even dimensions. As one key ingredient we provide a characterization of orientable manifolds among orientable orbifolds in terms of characteristic classes.
Publisher
Springer Science and Business Media LLC
Cited by
2 articles.
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1. Sharp systolic inequalities for rotationally symmetric 2-orbifolds;Journal of Fixed Point Theory and Applications;2023-01-04
2. How highly connected can an orbifold be?;Revista Matemática Iberoamericana;2022-08-24