A sharp lower bound for the first eigenvalue on a minimal surface

DOI10.1007/BF01212850zbMath0849.53006OpenAlexW2144521743MaRDI QIDQ1337863

Vladimir G. Tkachev

Publication date: 16 November 1994

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

Full work available at URL: https://doi.org/10.1007/bf01212850

zbMATH Keywords

minimal submanifoldfirst eigenvalueEuclidean \(n\)-space

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (1)

On the first eigenvalue of minimal submanifolds

Cites Work

• A complete minimal surface in \(R^ 3\) between two parallel planes
• Differential equations on riemannian manifolds and their geometric applications
• The isoperimetric inequality
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