On spherical representation of an m-dimensional submanifold in the Euclidean n-space

DOI10.2748/tmj/1178229102zbMath0516.53004OpenAlexW1980648358MaRDI QIDQ1052643

Yosio Mutō

Publication date: 1983

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229102

zbMATH Keywords

constant curvatureminimal submanifoldspherical representationeigenfunction of the Laplacianconstant isotropicregular spherical map

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Cites Work

• Submanifolds of a Euclidean space with homothetic Gauss map
• Isotropic immersions
• Minimal immersions of Riemannian manifolds
• On submanifolds of submanifolds of a Riemannian manifold
• Isotropic Immersions and Veronese Manifolds
• Isotropic and Kähler Immersions

This page was built for publication: On spherical representation of an m-dimensional submanifold in the Euclidean n-space