Michael–Simon inequalities for k-th mean curvatures
نویسندگان
چکیده
This paper continues the study of Alexandrov–Fenchel inequalities for quermassintegrals for k-convex domains. It focuses on the application to the Michael–Simon type inequalities for k-curvature operators. The proof uses optimal transport maps as a tool to relate curvature quantities defined on the boundary of a domain. Mathematics Subject Classification (2010) Primary 35J96 · Secondary 52B60
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