Quelques exemples de variétés riemanniennes ou toutes les géodésiques issues d'un point sont fermées et de même longueur, suivis de quelques résultats sur leur topologie
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Publication:1219069
DOI10.5802/aif.647zbMath0309.53038OpenAlexW2315642739MaRDI QIDQ1219069
Publication date: 1977
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_1977__27_1_231_0
Related Items (11)
Conjectures about virtual Legendrian knots and links ⋮ On metrics on \(S^ 2\) all of whose geodesics are closed ⋮ \({\eta}\)-invariant and a problem of Bérard-Bergery on the existence of closed geodesics ⋮ Isoparametric functions on exotic spheres ⋮ A generalization of Berger's rigidity theorem for positively curved manifolds ⋮ Legendrian links, causality, and the low conjecture ⋮ Non-negative Legendrian isotopy in \(ST^{\ast}M\) ⋮ Topological properties of manifolds admitting a \(Y^x\)-Riemannian metric ⋮ Causality and Legendrian linking for higher dimensional spacetimes ⋮ Linking and causality in globally hyperbolic space-times ⋮ Riemannian manifolds with maximal eigenfunction growth
Cites Work
- Manifolds which are like projective planes
- On the cut locus and the topology of Riemannian manifolds
- A note on theorems of Bott and Samelson
- Conjugate loci of constant order
- Fixpunktfreie Involutionen von 7-Sphären
- Totally geodesic maps
- Manifolds with restricted conjugate locus
- On manifolds all of whose geodesics are closed
- On the Structure of Manifolds
- A Sufficient Condition that a Mapping of Riemannian Manifolds be a Fibre Bundle
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