Submanifolds of a Euclidean space with homothetic Gauss map

DOI10.2969/JMSJ/03230531zbMath0432.53024OpenAlexW2021555269MaRDI QIDQ1138808

Yosio Mutō

Publication date: 1980

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/03230531

zbMATH Keywords

totally geodesicsubmanifoldminimal submanifoldparallel second fundamental formharmonichomothetic Gauss map

Mathematics Subject Classification ID

Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

Related Items (7)

Deformability of a Submanifold in a Euclidean Space whose Image by the Gauss Map is Fixed ⋮ Submanifolds with homothetic Gauss map in codimension two ⋮ A property of the Veronese surface ⋮ Teichmüller spaces of string theory ⋮ Isotropic submanifolds in a Euclidean space ⋮ Some properties of isometric minimal immersions of spheres into spheres ⋮ On spherical representation of an m-dimensional submanifold in the Euclidean n-space

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