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Bilipschitz embeddings of negative sectional curvature in products of warped product manifolds
Author:
Thomas Foertsch
Journal:
Proc. Amer. Math. Soc. 130 (2002), 2089-2096
MSC (2000):
Primary 53C20
Posted:
December 31, 2001
MathSciNet review:
1896045
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Abstract: Generalizing results due to Brady and Farb (1998) we prove the existence of bilipschitz embedded manifolds of negative sectional curvature in Riemannian products of certain types of warped products.
- [BiO'N]
- R.L.Bishop & B. O'Neill, Manifolds of Negative Curvature, Transactions of the American Mathematical Society, Vol. 145, 1969 MR 40:4891
- [BrFa]
- N.Brady & B. Farb, Filling-Invariants at Infinity for Manifolds of Nonpositive Curvature, Transactions of the American Mathematical Society, Vol. 350, Num. 8, 1998 MR 99c:53039
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Additional Information
Thomas Foertsch
Affiliation:
Universität Zürich, Mathematisches Institut, Winterthurerstrasse 190, Ch-8057 Zürich, Switzerland
Email:
foertsch@math.unizh.ch
DOI:
http://dx.doi.org/10.1090/S0002-9939-01-06328-6
PII:
S 0002-9939(01)06328-6
Keywords:
Warped products,
bilipschitz embeddings,
negative curvature
Received by editor(s):
September 7, 2000
Received by editor(s) in revised form:
February 16, 2001
Posted:
December 31, 2001
Additional Notes:
The author was supported by the SNF Grant 21 - 589 38.99
Communicated by:
Wolfgang Ziller
Article copyright:
© Copyright 2001 American Mathematical Society
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