Manifolds of Nonpositive Curvature
Manifolds of Nonpositive Curvature
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DOI：
10.1007/978-1-4684-9159-3
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发表时间：
1985
期刊：
影响因子：
--
通讯作者：
W. Ballmann;M. Gromov;V. Schroeder
中科院分区：
文献类型：
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作者：
W. Ballmann;M. Gromov;V. Schroeder
非正弯曲流形研究的主要目的之一是在非正截面曲率的较弱假设下，指定关于负弯曲流形的断言成为假的情况--如果它们成为假的。例如，Milnor [Mi]的一个定理断言，如果M是紧的且负弯曲的，则r具有指数增长。至于较弱的假设KM：：o 0，Avez [Av]表明r具有指数增长当且仅当M是
One of the principal aims in the study of nonpositively curved manifolds is to specify the circumstances under which assertions about negatively curved manifolds become false-if they become false-under the weaker assumption of nonpositive sectional curvature. For example, a theorem of Milnor [Mi] asserts that r has exponential growth if M is compact and negatively curved. As for the weaker assumption KM:: o 0, Avez [Av] showed that r has exponential growth if and only if M is