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On Hölder continuous Riemannian and Finsler metrics
Author(s):
Alexander
Lytchak;
Asli
Yaman
Journal:
Trans. Amer. Math. Soc.
358
(2006),
2917-2926.
MSC (2000):
Primary 53B40, 53B20
Posted:
February 14, 2006
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Abstract:
We discuss smoothness of geodesics in Riemannian and Finsler metrics.
References:
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- E. Calabi and Ph. Hartmann.
On the smoothness of isometries. Duke Math. J., 37:741-750, 1970. MR 0283727 (44:957) - [Kos02a]
- N. N. Kosovskii.
On gluing of Riemannian manifolds of curvature . Algebra i Analiz, 14:140-157, 2002. MR 1921991 (2003d:53053) - [Kos02b]
- N. N. Kosovskii.
On gluing of Riemannian manifolds of curvature . Algebra i Analiz, 14:73-86, 2002. MR 1970333 (2004g:53044) - [LT79]
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Classical Banach spaces.Function spaces, volume 2. Springer-Verlag, 1979. MR 0540367 (81c:46001) - [Lyt]
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Almost convex subsets. Preprint. - [Tay]
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Existence and regularity of Isometries. Preprint.
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Additional Information:
Alexander
Lytchak
Affiliation:
Department of Mathematics, University of Bonn, 53115 Bonn, Germany
Asli
Yaman
Affiliation:
Department of Mathematics, University of Bonn, 53115 Bonn, Germany
Address at time of publication:
CRM, Apartat 50, E-08193, Bellaterra, Spain
DOI:
10.1090/S0002-9947-06-04195-X
PII:
S 0002-9947(06)04195-X
Keywords:
Geodesics,
isometric embeddings
Received by editor(s):
March 25, 2004
Posted:
February 14, 2006
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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