Contributions of rational homotopy theory to global problems in geometry
type: Item
instance of: scholarly article
title: Contributions of rational homotopy theory to global problems in geometry
zbMATH Open document ID: 0508.55013
DOI: 10.1007/BF02700465
author: Karsten Grove
author: Stephen Halperin
published in: Publications Mathématiques
publication date: 1982-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/103986
Mathematics Subject Classification ID: 55P62
Mathematics Subject Classification ID: 58E10
Mathematics Subject Classification ID: 53C22
Mathematics Subject Classification ID: 57R19
Mathematics Subject Classification ID: 53C20
zbMATH DE Number: 3802447
zbMATH Keywords: manifolds of cohomogeneity 1
zbMATH Keywords: rationally hyperbolic manifold
zbMATH Keywords: isometry- invariant geodesics
zbMATH Keywords: rationally elliptic manifolds
Wikidata QID: Q60961660
MaRDI profile type: Publication
cites work: Structures différentiables sur les types d'homotopie rationnelle simplement connexes
cites work: Sur les variétés à courbure strictement positive
cites work: Rational L.-S. Category and Its Applications
cites work: The homotopy Lie algebra for finite complexes
cites work: Curvature, diameter and Betti numbers
cites work: Condition (C) for the energy integral on certain path spaces and applications to the theory of geodesics
cites work: Isometry-invariant geodesics
cites work: The rational homotopy theory of certain path spaces with applications to geodesics
cites work: On the number of invariant closed geodesics
cites work: Finiteness in the Minimal Models of Sullivan
cites work: Q3336371
cites work: Singular Points of Complex Hypersurfaces. (AM-61)
cites work: The group of isometries of a Riemannian manifold
cites work: Rational homotopy theory
cites work: Infinitesimal computations in topology
cites work: On the existence of infinitely many isometry-invariant geodesics
description: scientific article; zbMATH DE number 3802447