Torus actions on rationally elliptic manifolds
Torus actions on rationally elliptic manifolds
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DOI：
10.1007/s00209-020-02508-6
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发表时间：
2015-11
影响因子：
0.8
通讯作者：
F. Galaz‐García;M. Kerin;M. Radeschi
中科院分区：
文献类型：
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作者：
F. Galaz‐García;M. Kerin;M. Radeschi
得到了光滑闭（单连通）有理椭圆流形上光滑有效作用环面秩的上界。在最大秩的情况下，流形承认这样的行动被归类为等变有理同伦等价。
An upper bound is obtained on the rank of a torus which can act smoothly and effectively on a smooth, closed (simply connected) rationally elliptic manifold. In the maximal-rank case, the manifolds admitting such actions are classified up to equivariant rational homotopy equivalence.