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Existence and regularity of isometries
Author(s):
Michael
Taylor
Journal:
Trans. Amer. Math. Soc.
358
(2006),
2415-2423.
MSC (2000):
Primary 35J15, 53A07, 53C21
Posted:
January 24, 2006
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Abstract:
We use local harmonic coordinates to establish sharp results on the regularity of isometric maps between Riemannian manifolds whose metric tensors have limited regularity (e.g., are Hölder continuous). We also discuss the issue of local flatness and of local isometric embedding with given first and second fundamental form, in the context of limited smoothness.
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Additional Information:
Michael
Taylor
Affiliation:
Department of Mathematics, University of North Carolina, Chapel Hill, North Carolina 27599
Email:
met@math.unc.edu
DOI:
10.1090/S0002-9947-06-04090-6
PII:
S 0002-9947(06)04090-6
Received by editor(s):
April 7, 2004
Posted:
January 24, 2006
Additional Notes:
This work was partially supported by NSF grant DMS-0139726
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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