A characteristic eigenfunction for minimal hypersurfaces in space forms

DOI10.1007/BF01159966zbMath0661.53041WikidataQ61978227 ScholiaQ61978227MaRDI QIDQ1113109

Steen Markvorsen

Publication date: 1989

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174097

zbMATH Keywords

Brownian motionminimal submanifoldPoisson equationeigenfunctionexplosioninduced Laplacianstrictly convex geodesic ball

Mathematics Subject Classification ID

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

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Cites Work

• Function theory on manifolds which possess a pole
• On the mean exit time from a minimal submanifold
• A characterization of metric spheres in hyperbolic space by Morse theory
• Minimal immersions of Riemannian manifolds
• Remarks on minimal surfaces
• Ergodic Properties of Recurrent Diffusion Processes and Stabilization of the Solution to the Cauchy Problem for Parabolic Equations