Title：Hodge decomposition for the Sobolev space H^\ell(\lambda^k) on a space form of nonpositive sectional curvature
Speaker：Carlos Pinilla Suarez
Time：10:00-11:00, July12
Location：Zoom, Zoom Meeting ID: 971 8782 9469
Abstract：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.
Meeting Link：https://zoom.com.cn/j/97187829469
