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On Gradient-Like Flows on Seifert Manifolds
Lobachevskii Journal of Mathematics ( IF 0.8 ) Pub Date : 2021-06-09 , DOI: 10.1134/s1995080221050061 V. Z. Grines , E. Ya. Gurevich , S. S. Kevlia
中文翻译:
关于 Seifert 流形上的梯度流
更新日期:2021-06-10
Lobachevskii Journal of Mathematics ( IF 0.8 ) Pub Date : 2021-06-09 , DOI: 10.1134/s1995080221050061 V. Z. Grines , E. Ya. Gurevich , S. S. Kevlia
Abstract
We consider a class of gradient-like flows on three-dimensional closed manifolds whose attractors and repellers belongs to a finite union of embedded surfaces and find conditions when the ambient manifold is Seifert.
中文翻译:
关于 Seifert 流形上的梯度流
摘要
我们在三维封闭流形上考虑一类梯度流,其吸引子和排斥器属于嵌入表面的有限联合,并找到当环境流形为 Seifert 时的条件。