Sobolev Inequalities in Manifolds with Nonnegative Curvature
نویسندگان
چکیده
We prove a sharp Sobolev inequality on manifolds with nonnegative Ricci curvature. Moreover, we Michael-Simon for submanifolds in sectional Both inequalities depend the asymptotic volume ratio of ambient manifold. © 2022 Wiley Periodicals LLC.
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Mathematics
سال: 2022
ISSN: ['1097-0312', '0010-3640']
DOI: https://doi.org/10.1002/cpa.22070