A contribution to the closed geodesic problem

DOI10.1016/j.jpaa.2009.09.003zbMath1195.55009OpenAlexW2033543331MaRDI QIDQ847692

Bitjong Ndombol, Jean-Claude Thomas

Publication date: 19 February 2010

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2009.09.003

zbMATH Keywords

Hochschild homologybar constructionfree loop spacecommutative model

Mathematics Subject Classification ID

Loop spaces (55P35) Bar and cobar constructions (57T30) Geodesics in global differential geometry (53C22) Global differential geometry (53C99) Abstract and axiomatic homotopy theory in algebraic topology (55U35)

Cites Work

• Unnamed Item
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• The Eilenberg-Moore spectral sequence and the mod 2 cohomology of certain free loop spaces
• On the Betti numbers of a loop space
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• Cyclic homology and equivariant homology
• The homology of a free loop space
• \(p\)-formality of spaces
• Universal enveloping algebras and loop space homology
• The Eilenberg-Moore spectral sequence and strongly homotopy multiplicative maps
• The free loop space of globally symmetric spaces
• The homology theory of the closed geodesic problem
• Infinitesimal computations in topology
• The number of cells in a non-bounding manifold
• Periodic geodesics on compact Riemannian manifolds
• THE BETTI NUMBERS OF THE FREE LOOP SPACE OF A CONNECTED SUM
• ON THE HOMOLOGY THEORY OF FIBRE SPACES
• On the Free Loop Space of Homogeneous Spaces
• Adams' Cobar Equivalence
• Hopf Algebras up to Homotopy
• The cohomology ring of free loop spaces
• On the cohomology algebra of free loop spaces

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