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Transactions of the American Mathematical Society
ISSN 1088-6850(e) ISSN 0002-9947(p)

     

The second closed geodesic on Finsler spheres of dimension $ n > 2$

Author(s): Hans-Bert Rademacher
Journal: Trans. Amer. Math. Soc. 362 (2010), 1413-1421.
MSC (2000): Primary 53C22, 53C60, 58E10
Posted: September 18, 2009
MathSciNet review: 2563734
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Abstract | References | Similar articles | Additional information

Abstract: We show the existence of at least two geometrically distinct closed geodesics on an $ n$-dimensional sphere with a bumpy and non-reversible Finsler metric for $ n > 2.$

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Additional Information:

Hans-Bert Rademacher
Affiliation: Mathematisches Institut, Universität Leipzig, 04081 Leipzig, Germany
Email: rademacher@math.uni-leipzig.de

DOI: 10.1090/S0002-9947-09-04745-X
PII: S 0002-9947(09)04745-X
Received by editor(s): August 9, 2006
Received by editor(s) in revised form: January 31, 2008
Posted: September 18, 2009
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.




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