Some existence theorems for closed geodesics
type: Item
instance of: scholarly article
title: Some existence theorems for closed geodesics
zbMATH Open document ID: 0532.53034
DOI: 10.1007/BF02564645
published in: Commentarii Mathematici Helvetici
publication date: 1983-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/139948
review text: Elementary and geometric methods are used to get existence results for short closed geodesics on certain manifolds of positive curvature. Among others, the optimal number for such closed geodesics for 1/4-pinched metrics on \(P^ n{\mathbb{R}}\) is established.
Mathematics Subject Classification ID: 53C22
Mathematics Subject Classification ID: 53C20
zbMATH DE Number: 3844563
zbMATH Keywords: existence results
zbMATH Keywords: closed geodesics
zbMATH Keywords: positive curvature
zbMATH Keywords: pinched metrics
author: Werner Ballmann
author: Gudlaugur Thorbergsson
author: Wolfgang Ziller
MaRDI profile type: Publication
OpenAlex ID: W2084640844
description: scientific article; zbMATH DE number 3844563