On submanifolds of highly negatively curved spaces

DOI10.1142/S0129167X14500554zbMath1304.53059MaRDI QIDQ2874681

Alberto G. Setti, Stefano Pigola, Gregório Pacelli Bessa

Publication date: 8 August 2014

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

submanifoldsstochastic estimatesisoperimetric ratiospectral and mean curvature estimates

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Cites Work

• Isoperimetric inequalities for submanifolds with bounded mean curvature
• Differential inequalities on complete Riemannian manifolds and applications
• The mean curvature of cylindrically bounded submanifolds
• The spectrum of the Martin-Morales-Nadirashvili minimal surfaces is discrete
• An extension of Barta's theorem and geometric applications
• Immersions of bounded mean curvature
• Eigenvalue estimates for submanifolds with locally bounded mean curvature
• Spectral and stochastic properties of the \(f\)-Laplacian, solutions of PDEs at infinity and geometric applications
• Mean time exit and isoperimetric inequalities for minimal submanifolds of N ×ℝ
• THE EXTERIOR DIAMETER OF AN IMMERSED RIEMANNIAN MANIFOLD
• A remark on the maximum principle and stochastic completeness

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