Immersions with parallel second fundamental form
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Publication:1843078
DOI10.1007/BF01218650zbMath0279.53048MaRDI QIDQ1843078
Publication date: 1974
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/172134
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Cites Work
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- Immersionen mit paralleler zweiter Fundamentalform: Beispiele und Nicht- Beispiele
- Minimal imbeddings of R-spaces
- Reduction of the codimension of an isometric immersion
- Induced Connections and Imbedded Riemannian Spaces
- On existence and rigidity of isometric immersions
- Imbedding of Jordan Algebras into Lie Algebras. I
- Submanifolds of Euclidean Space with Parallel Second Fundamental Form