Sobolev inequality and stability of minimal submanifolds

DOI10.2996/kmj/1138043423zbMath0848.53038OpenAlexW2119258240MaRDI QIDQ1906555

Hideo Muto

Publication date: 9 October 1996

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138043423

zbMATH Keywords

second fundamental formminimal submanifoldcomplex projective spacespace formSobolev-type inequalities

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Cites Work

• On the Schrödinger equation and the eigenvalue problem
• Remarks on the stability of minimal submanifolds of \(\mathbb R^n\)
• Minimal varieties in Riemannian manifolds
• Heat Equations on Minimal Submanifolds and Their Applications
• Finiteness of Index and Total Scalar Curvature for Minimal Hypersurfaces
• Sobolev and isoperimetric inequalities for riemannian submanifolds
• On the Heat Kernel of the Bergmann Metric on Algebraic Varieties
• Sobolev and mean‐value inequalities on generalized submanifolds of Rⁿ
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