Isoperimetric inequalities on curved surfaces

DOI10.1016/0001-8708(80)90028-6zbMath0461.53012OpenAlexW2003212009MaRDI QIDQ1152585

Edgar A. Feldman, Isaac Chavel

Publication date: 1980

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(80)90028-6

zbMATH Keywords

vibrating membranetorsional rigidityfundamental tonecylindrical beams

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Applications of local differential geometry to the sciences (53B50) Methods of local Riemannian geometry (53B21)

Related Items (3)

On the essential self-adjointness of the Schrödinger operator on complete Riemannian manifolds ⋮ Torsional rigidity on compact Riemannian manifolds with lower Ricci curvature bounds ⋮ Positive scalar curvature and the Dirac operator on complete Riemannian manifolds

Cites Work

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• Zur isoperimetrischen Ungleichung auf gekrümmten Flächen
• Some isoperimetric inequalities for membrane frequencies and torsional rigidity
• Eigenvalue inequalities for the Dirichlet problem on spheres and the growth of subharmonic functions
• Anwendungen der Alexandrowschen Winkelvergleichssätze
• Konstruktion isoperimetrischer Ungleichungen der mathematischen Physik aus solchen der Geometrie
• On the Size of a Stable Minimal Surface in R 3
• Isoperimetric Inequalities and Their Applications
• Die Brunn‐Minkowskische Ungleichung und ihr Spiegelbild sowie die isoperimetrische Eigenschaft der Kugel in der euklidischen und nichteuklidischen Geometrie. II

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