Universität zu Köln

Frauenfelder, Urs, Lange, Christian and Suhr, Stefan (2019). A HAMILTONIAN VERSION OF A RESULT OF GROMOLL AND GROVE. Ann. Inst. Fourier, 69 (1). S. 409 - 420. ST MARTIN D HERES CEDEX: ANNALES INST FOURIER. ISSN 1777-5310

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Abstract

The theorem that if all geodesics of a Riemannian two-sphere are closed they are also simple closed is generalized to real Hamiltonian structures on RP3. For reversible Finsler 2-spheres all of whose geodesics are closed this implies that the lengths of all geodesics coincide.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Frauenfelder, Urs UNSPECIFIED UNSPECIFIED UNSPECIFIED Lange, Christian UNSPECIFIED UNSPECIFIED UNSPECIFIED Suhr, Stefan UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-138818
DOI:	10.5802/aif.3247
Journal or Publication Title:	Ann. Inst. Fourier
Volume:	69
Number:	1
Page Range:	S. 409 - 420
Date:	2019
Publisher:	ANNALES INST FOURIER
Place of Publication:	ST MARTIN D HERES CEDEX
ISSN:	1777-5310
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language TOPOLOGY; METRICS Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/13881