Gap theorems for minimal submanifolds of Euclidean space

DOI10.2969/JMSJ/03830473zbMath0611.53048OpenAlexW1986773377MaRDI QIDQ1087156

Atsushi Kasue

Publication date: 1986

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/03830473

zbMATH Keywords

scalar curvatureminimal submanifoldsharmonic functions on Riemannian manifolds

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Projective differential geometry (53A20) Potential theory on Riemannian manifolds and other spaces (31C12)

Related Items (4)

Ricci flatness of asymptotically locally Euclidean metrics ⋮ Volume growth, number of ends, and the topology of a complete submanifold ⋮ A gap theorem for minimal submanifolds in Euclidean space ⋮ Total scalar curvature and rigidity of minimal hypersurfaces in Euclidean space

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