The volume flux group and nonpositive curvature
نویسندگان
چکیده
منابع مشابه
The Volume Flux Group and Nonpositive Curvature
We show that a closed nonpositively curved manifold with non-trivial volume flux group has zero minimal volume. It can be seen from the proof that these manifolds admit a finite covering with circle actions whose orbits are homologically essential. LetM be a closed smooth manifold and μ a volume form onM . Denote by Diff the group of μ–preserving diffeomorphisms of M , and by Diff 0 its identit...
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We show that every closed nonpositively curved manifold with non-trivial volume flux group has zero minimal volume, and admits a finite covering with circle actions whose orbits are homologically essential. This proves a conjecture of Kedra– Kotschick–Morita for this class of manifolds. Let M be a closed smooth manifold and μ a volume form on M . Denote by Diff the group of μ–preserving diffeom...
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ژورنال
عنوان ژورنال: Annals of Global Analysis and Geometry
سال: 2008
ISSN: 0232-704X,1572-9060
DOI: 10.1007/s10455-008-9148-2