@article{PMIHES_1982__56__171_0,
author = {Grove, Karsten and Halperin, Stephen},
title = {Contributions of rational homotopy theory to global problems in geometry},
journal = {Publications Math\'ematiques de l'IH\'ES},
pages = {171--177},
year = {1982},
publisher = {Institut des Hautes Etudes Scientifiques},
volume = {56},
mrnumber = {686045},
zbl = {0508.55013},
language = {en},
url = {https://www.numdam.org/item/PMIHES_1982__56__171_0/}
}
TY - JOUR AU - Grove, Karsten AU - Halperin, Stephen TI - Contributions of rational homotopy theory to global problems in geometry JO - Publications Mathématiques de l'IHÉS PY - 1982 SP - 171 EP - 177 VL - 56 PB - Institut des Hautes Etudes Scientifiques UR - https://www.numdam.org/item/PMIHES_1982__56__171_0/ LA - en ID - PMIHES_1982__56__171_0 ER -
%0 Journal Article %A Grove, Karsten %A Halperin, Stephen %T Contributions of rational homotopy theory to global problems in geometry %J Publications Mathématiques de l'IHÉS %D 1982 %P 171-177 %V 56 %I Institut des Hautes Etudes Scientifiques %U https://www.numdam.org/item/PMIHES_1982__56__171_0/ %G en %F PMIHES_1982__56__171_0
Grove, Karsten; Halperin, Stephen. Contributions of rational homotopy theory to global problems in geometry. Publications Mathématiques de l'IHÉS, Tome 56 (1982), pp. 171-177. https://www.numdam.org/item/PMIHES_1982__56__171_0/
[1] , On analytic properties of the Poincaré series of loop spaces, Math. Zametki, 27 (1980), 751-765. | Zbl | MR
[2] , Structures différentiables sur les types d'homotopie rationnelle simplement connexes, Ann. Scient. Éc. Norm. Sup., 9 (1976), 469-501. | Zbl | MR | Numdam
[3] , , Sur les variétés à courbure strictement positive, Topology, 1 (1962), 301-311. | Zbl | MR
[4] , , Rational Lusternik-Schnirelmann category and its applications, Trans. Amer. Math. Soc., 273 (1982), 1-37. | Zbl | MR
[5] , , , The homotopy Lie algebra for finite complexes, Publ. Math. I.H.E.S., ce volume, 179-202. | Zbl | MR | Numdam
[6] , , The radius of convergence of Poincaré series of loop spaces, Invent. math., 68 (1982), 257-274. | Zbl | MR
[7] , , Rational homotopy groups of certain spaces, Invent. math., 53 (1979), 117-133. | Zbl | MR
[8] , Curvature, diameter and Betti numbers, Comment. Math. Helv., 56 (1981), 179-195. | Zbl | MR
[9] , Condition (C) for the energy integral on certain path-spaces and applications to the theory of geodesics, J. Differential Geometry, 8 (1973), 207-223. | Zbl | MR
[10] , Isometry-invariant Geodesics, Topology, 13 (1974), 281-292. | Zbl | MR
[11] , , , The rational homotopy theory of certain path-spaces with applications to geodesics, Acta math., 140 (1978), 277-303. | Zbl | MR
[12] , , On the number of invariant closed geodesics, Acta math., 140 (1978), 33-48. | Zbl | MR
[13] , Finiteness in the minimal model of Sullivan, Trans. Amer. Math. Soc., 230 (1977), 173-199. | Zbl | MR
[14] , Spaces whose rational homotopy and ψ-homotopy are both finite dimensional, to appear.
[15] , A class of compact manifolds with positive Ricci curvature, Proc. symp. pure math. A.M.S., XXVII (1975), 73-87. | Zbl | MR
[16] , Singular points of complex hypersurfaces, Annals of math. studies, 61 (1968), Princeton. | Zbl | MR
[17] , , The group of isometries of a Riemannian manifold, Ann. of Math., 40 (1939), 400-416. | Zbl | JFM
[18] , Rational homotopy theory, Ann. of Math., 90 (1969), 205-295. | Zbl | MR
[19] , Infinitesimal computations in topology, Publ. Math. I.H.E.S., 47 (1978), 269-331. | Zbl | MR | Numdam
[20] , On the existence of infinitely many isometry-invariant geodesics, J. Differential Geometry, 17 (1982), 171-184. | Zbl | MR






