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Carlos Pinilla Suarez——Hodge decomposition for the Sobolev space H^\ell(\lambda^k) on a space form of nonpositive sectional curvature
发布人:许全华  发布时间:2021-07-07   浏览次数:245

题目:Hodge decomposition for the Sobolev space H^\ell(\lambda^k) on a space form of nonpositive sectional curvature


报告人:Carlos Pinilla Suarez


时间:712号,10:00-11:00 


地点:Zoom会议,会议号:971 8782 9469 


摘要:The Hodge decomposition is well-known for compact manifolds. The result has been extended by Kodaira to non-compact complete manifolds in the space of L^2 forms.  We showed this decomposition with Chan and Czubak in the Sobolev space H^1 on a space form of a nonpositive sectional curvature. In this talk we will show the basic tools to prove this decomposition. The decomposition was extended to any Sobolev space H^\ell, the necessary tools to make this extension possible will be shown. Some additional results will be discussed, as well.


Zoom会议链接:https://zoom.com.cn/j/97187829469