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A bounding question for almost flat manifolds

Author(s): Shashidhar Upadhyay
Journal: Trans. Amer. Math. Soc. 353 (2001), 963-972.
MSC (1991): Primary 57R19, 57R20; Secondary 55N22
Posted: September 15, 2000
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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 $L$.

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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

DOI: 10.1090/S0002-9947-00-02669-6
PII: S 0002-9947(00)02669-6
Keywords: Almost flat manifolds, infranilmanifolds, Stiefel-Whitney numbers
Received by editor(s): August 3, 1999
Posted: September 15, 2000
Copyright of article: Copyright 2000, American Mathematical Society

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