A remark on the Sobolev inequality for Riemannian submanifolds

DOI10.3792/pja/1195518434zbMath0339.53033OpenAlexW2010558308WikidataQ115220047 ScholiaQ115220047MaRDI QIDQ4107588

Tominosuke Otsuki

Publication date: 1976

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pja/1195518434

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

Related Items

Penrose type inequalities for asymptotically hyperbolic graphs

Cites Work

• Sobolev and isoperimetric inequalities for riemannian submanifolds
• Sobolev and mean‐value inequalities on generalized submanifolds of Rⁿ