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Bilipschitz embeddings of negative sectional curvature in products of warped product manifolds

Author(s): Thomas Foertsch
Journal: Proc. Amer. Math. Soc. 130 (2002), 2089-2096.
MSC (2000): Primary 53C20
Posted: December 31, 2001
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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.

References:

[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: 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
Copyright of article: Copyright 2001, American Mathematical Society


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