An endpoint version of uniform Sobolev inequalities
نویسندگان
چکیده
منابع مشابه
Uniform Sobolev Inequalities for Manifolds Evolving by Ricci Flow
Let M be a compact n-dimensional manifold, n ≥ 2, with metric g(t) evolving by the Ricci flow ∂gij/∂t = −2Rij in (0, T ) for some T ∈ R + ∪ {∞} with g(0) = g0. Let λ0(g0) be the first eigenvalue of the operator −∆g0 + R(g0) 4 with respect to g0. We extend a recent result of R. Ye and prove uniform logarithmic Sobolev inequality and uniform Sobolev inequalities along the Ricci flow for any n ≥ 2...
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ژورنال
عنوان ژورنال: Forum Mathematicum
سال: 2018
ISSN: 1435-5337,0933-7741
DOI: 10.1515/forum-2018-0042