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Examples of Finsler metrics without conjugate points: Metrics of revolution
Author(s):
N.
Zinov'ev
Translated by:
the author
Original publication:
Algebra i Analiz,
tom 20
(2008),
nomer 3.
Journal:
St. Petersburg Math. J.
20
(2009),
361-379.
MSC (2000):
Primary 53B40
Posted:
April 6, 2009
MathSciNet review:
2454452
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Additional information
Abstract:
A large class of Finsler metrics without conjugate points on the torus that are far away from flat metrics is constructed.
References:
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Additional Information:
N.
Zinov'ev
Affiliation:
Sun Microsystems SPB, LLC, 10th Krasnoarmeyskaya Street, 22-A, St. Petersburg, 190103, Russia
Email:
nikita.zinoviev@gmail.com
DOI:
10.1090/S1061-0022-09-01052-8
PII:
S 1061-0022(09)01052-8
Keywords:
Hopf hypothesis,
flat Finsler metrics,
metric of revolution
Received by editor(s):
8/FEB/2008
Posted:
April 6, 2009
Copyright of article:
Copyright
2009,
American Mathematical Society
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