On the Free Loop Space of Homogeneous Spaces
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Publication:3774584
DOI10.2307/2374612zbMath0635.57026OpenAlexW2093678666MaRDI QIDQ3774584
John McCleary, Wolfgang Ziller
Publication date: 1987
Published in: American Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2374612
symmetric space of rank oneBetti numbers of the free loop spacecompact simply connected homogeneous spaceinfinitely many geometrically different closed geodesics
Differential geometry of homogeneous manifolds (53C30) Loop spaces (55P35) Geodesics in global differential geometry (53C22) Homology and cohomology of (H)-spaces (57T25)
Related Items (11)
Homogeneous Finsler spaces with only one orbit of prime closed geodesics ⋮ Obstructions to nonnegative curvature and rational homotopy theory ⋮ A contribution to the closed geodesic problem ⋮ Critical point theory of symmetric functions and closed geodesics ⋮ Homogeneous spaces without taut embeddings ⋮ The extension problem and the mod 2 cohomology of the space of loops on Spin (N) ⋮ Geometry of homogeneous Riemannian manifolds ⋮ Hochschild cohomology of a strongly homotopy commutative algebra ⋮ Splitting lemmas for the Finsler energy functional on the space ofH1-curves ⋮ On the Betti number of the space of invariant paths on the space whose cohomology is the exterior algebra with two generators ⋮ On a generic property of geodesic flows
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