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VANISHING SIMPLICIAL VOLUME FOR CERTAIN AFFINE MANIFOLDS.
- Source :
-
Proceedings of the American Mathematical Society . Mar2018, Vol. 146 Issue 3, p1287-194. 8p. - Publication Year :
- 2018
-
Abstract
- We show that closed aspherical manifolds supporting an affine structure, whose holonomy map is injective and contains a pure translation, must have vanishing simplicial volume. As a consequence, these manifolds have zero Euler characteristic, satisfying the Chern Conjecture. Along the way, we provide a simple cohomological criterion for aspherical manifolds with normal amenable subgroups of π1 to have vanishing simplicial volume. This answers a special case of a question due to Lück. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 146
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 127634933
- Full Text :
- https://doi.org/10.1090/proc/13799