A bounding question for almost flat manifolds
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- by Shashidhar Upadhyay PDF
- Trans. Amer. Math. Soc. 353 (2001), 963-972 Request permission
Abstract:
We study bounding question for almost flat manifolds by looking at the equivalent description of them as infranilmanifolds $\Gamma \backslash L\rtimes G/G$. We show that infranilmanifolds $\Gamma \backslash L \rtimes G/G$ bound if $L$ is a 2-step nilpotent group and $G$ is finite cyclic and acts trivially on the center of the nilpotent Lie group $L$.References
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Additional Information
- Shashidhar Upadhyay
- Affiliation: Department of Mathematical Sciences, SUNY at Binghamton, Binghamton, New York 13902-6000
- Address at time of publication: Bloomberg L. P., 499 Park Avenue, New York, New York 10022
- Email: sdhar@math.binghamton.edu
- Received by editor(s): August 3, 1999
- Published electronically: September 15, 2000
- © Copyright 2000 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 353 (2001), 963-972
- MSC (1991): Primary 57R19, 57R20; Secondary 55N22
- DOI: https://doi.org/10.1090/S0002-9947-00-02669-6
- MathSciNet review: 1804410