Bilipschitz embeddings of negative sectional curvature in products of warped product manifolds
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- by Thomas Foertsch PDF
- Proc. Amer. Math. Soc. 130 (2002), 2089-2096 Request permission
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
- R. L. Bishop and B. O’Neill, Manifolds of negative curvature, Trans. Amer. Math. Soc. 145 (1969), 1–49. MR 251664, DOI 10.1090/S0002-9947-1969-0251664-4
- Noel Brady and Benson Farb, Filling-invariants at infinity for manifolds of nonpositive curvature, Trans. Amer. Math. Soc. 350 (1998), no. 8, 3393–3405. MR 1608281, DOI 10.1090/S0002-9947-98-02317-4
Additional Information
- Thomas Foertsch
- Affiliation: Universität Zürich, Mathematisches Institut, Winterthurerstrasse 190, Ch-8057 Zürich, Switzerland
- Email: foertsch@math.unizh.ch
- Received by editor(s): September 7, 2000
- Received by editor(s) in revised form: February 16, 2001
- Published electronically: December 31, 2001
- Additional Notes: The author was supported by the SNF Grant 21 - 589 38.99
- Communicated by: Wolfgang Ziller
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 2089-2096
- MSC (2000): Primary 53C20
- DOI: https://doi.org/10.1090/S0002-9939-01-06328-6
- MathSciNet review: 1896045