Geodesics in Weakly Symmetric Spaces

Authors: Berndt J.¹; Kowalski O.²; Vanhecke L.³

Source: Annals of Global Analysis and Geometry, Volume 15, Number 2, April 1997 , pp. 153-156(4)

Publisher: Springer

Abstract:

We prove that any maximal geodesic in a weakly symmetric space is an orbit of a one-parameter group of isometries of that space.

Keywords: geodesics; weakly symmetric space

Language: English

Document Type: Regular paper

Affiliations: 1: Mathematisches Institut, Universität zu Köln, Weyertal 86-90, 50931 Köln, Germany (E-mail: berndt@mi.uni-koeln.de) 2: Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 00 Praha, Czech Republic (E-mail: kowalski@karlin.mff.cuni.cz) 3: Department of Mathematics, Katholieke Universiteit Leuven, Celestijnenlaan 200 B, 3001 Leuven, Belgium (E-mail: lieven.vanhecke@wis.kuleuven.ac.be)

Publication date: 1997-04-01

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• By this author: Berndt J. ;  Kowalski O. ;  Vanhecke L.

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