A theory of Riemannian submanifolds

DOI10.2996/kmj/1138845697zbMath0164.22303OpenAlexW2052814312WikidataQ115224467 ScholiaQ115224467MaRDI QIDQ5548788

Tominosuke Otsuki

Publication date: 1968

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138845697

zbMATH Keywords

differential geometry

Related Items

Pseudo-umbilical submanifolds with $M$-index $łeq 1$ in Euclidean spaces, A note on pseudo-umbilical submanifolds with $M$-index $1$ and codimension $2$ in Euclidean spaces, Complete surfaces in $E^{4}$ with constant mean curvature, Pseudo-umbilical surfaces in euclidean spaces, Differential geometry of submanifolds, Minimal surfaces in a Riemannian manifold of constant curvature, Immersions of codimension two with trivial normal connexion into elliptic spaces, Minimal hypersurfaces with three principal curvature fields in \(S^{+1}\), Topological and metric structure of k-saddle surfaces, The torsion form of submanifolds in \(E^ N\), Minimal submanifolds with M-index 2 in Riemannian manifolds of constant curvature

Cites Work

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• Isometric immersions of manifolds of nonnegative constant sectional curvature
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• Isometric Immersions which Preserve Curvature Operators
• Isometric immersions of constant curvature manifolds
• Some theorems on the isometric imbedding of compact Riemann manifolds in Euclidean space