Submanifolds with totally umbilical Gauss image

DOI10.1007/BF00147805zbMath0859.53003MaRDI QIDQ1922794

Yury A. Nikolayevsky

Publication date: 14 April 1997

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

classificationtotally umbilical submanifoldGrassmannian manifoldGauss image

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Local submanifolds (53B25)

Cites Work

• Symmetric submanifolds of Euclidean space
• Planar geodesic immersions
• Totally geodesic submanifolds of symmetric spaces. I
• Isotropic submanifolds in a Euclidean space
• Reduction of the codimension of an isometric immersion
• The geometry of the generalized Gauss map
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