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Balls in complex hyperbolic manifolds

Balls in complex hyperbolic manifolds
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摘要 We get an explicit lower bound for the radius of a Bergman ball contained in the Dirichlet fundamental polyhedron of a torsion free discrete group G PU(n,1)acting on complex hyperbolic space.As an application,we also give a lower bound for the volumes of complex hyperbolic n-manifolds. We get an explicit lower bound for the radius of a Bergman ball contained in the Dirichlet fundamental polyhedron of a torsion free discrete group G伡PU(n,1)acting on complex hyperbolic space.As an application,we also give a lower bound for the volumes of complex hyperbolic n-manifolds.
出处 《Science China Mathematics》 SCIE 2014年第4期767-774,共8页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China(Grant Nos.10671059 and 11201134) Young Teachers Support Program of Hunan University(Grant No.531107040021)
关键词 embedded ball complex hyperbolic manifolds VOLUME 复双曲空间 流形 离散群 多面体 下限 扭转
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参考文献17

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