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Minimal immersions into space forms with two principal curvatures

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Publication:793364
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DOI10.1007/BF01161950zbMath0538.53056OpenAlexW1999301094MaRDI QIDQ793364

Francesco Mercuri, Luquesio P. de M. Jorge

Publication date: 1984

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173494


zbMATH Keywords

minimal immersionsprincipal curvaturerotational hypersurfacestandard embedding


Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)


Related Items (1)

Homology vanishing theorems for pinched submanifolds



Cites Work

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  • Reduction of codimension of regular immersions
  • Symmetric submanifolds of Euclidean space
  • Symmetric spaces which are real cohomology spheres
  • Rotation Hypersurfaces in Spaces of Constant Curvature
  • Minimal Hypersurfaces in a Riemannian Manifold of Constant Curvature
  • Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
  • Minimal submanifolds in \(S^N\) and \(R^N\)


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