A class of distinguished isometric immersions with parallel second fundamental form

DOI10.1007/BF03323324zbMath0519.53047MaRDI QIDQ1054294

Helmut Reckziegel

Publication date: 1983

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

isometric immersionsparallel second fundamental formparallel submanifoldssymmetric submanifolds

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Local submanifolds (53B25)

Related Items

Totally geodesic submanifolds of Riemannian manifolds and curvature-invariant subspaces, On symmetric submanifolds of spaces of constant curvature, Semisymmetric submanifolds, Ric-semisymmetric submanifolds, Compact hypersurfaces with a constant higher mean curvature function

Cites Work

• On the problem whether the image of a given differentiable map into Riemannian manifold is contained in a submanifold with parallel second fundamental form.
• Differentiable maps into riemannian manifolds of constant stable osculating rank. I.
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