抄録
Let M be a noncompact connected manifold with a cocompact and properly discontinuous action of a discrete group G. We establish a Poincaré–Hopf theorem for a bounded vector field on M satisfying a mild condition on zeros. As an application, we show that such a vector field must have infinitely many zeros whenever G is amenable and the Euler characteristic of M=G is nonzero.
本文言語 | 英語 |
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ページ(範囲) | 3985-3996 |
ページ数 | 12 |
ジャーナル | Algebraic and Geometric Topology |
巻 | 24 |
号 | 7 |
DOI | |
出版ステータス | 出版済み - 2024 |
!!!All Science Journal Classification (ASJC) codes
- 幾何学とトポロジー