An extrinsic decomposition theorem and a slant tube theorem for a curvature netted hypersurface

DOI10.1007/BF03322689zbMath1026.53031WikidataQ126209917 ScholiaQ126209917MaRDI QIDQ5943573

Naoyuki Koike

Publication date: 27 September 2001

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

zbMATH Keywords

Dupin hypersurfacehypersurfaces of real space formsprincipal curvatures

Mathematics Subject Classification ID

Global submanifolds (53C40) Foliations (differential geometric aspects) (53C12)

Related Items (1)

The quadratic slice theorem and the equiaffine tube theorem for equiaffine Dupin hypersurfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Isoparametrische Hyperflächen in Sphären. I
• Dupin hypersurfaces
• An analogue of the holonomy bundle for a foliated manifold
• Isoparametrische Hyperflächen in Sphären. II: Über die Zerlegung der Sphäre in Ballbündel
• De Rham decomposition theorems for foliated manifolds
• Focal sets, taut embeddings and the cyclides of Dupin
• Focal sets of submanifolds
• On the eigenvalues of the shape operator of an isometric immersion into a space of constant curvature
• Completeness of curvature surfaces of an isometric immersion
• De Rham decomposition of netted manifolds
• Twisted products in pseudo-Riemannian geometry
• On tubes of nonconstant radius
• Hypersurfaces with parallel Ricci tensor in spaces of constant curvature
• The decomposition of curvature netted hypersurfaces
• Isometric immersions of warped products
• Isometric immersions of Riemannian products
• Dupin Hypersurfaces
• COMPLEMENTARY DISTRIBUTIONS WHICH PRESERVE THE LEAF GEOMETRY AND APPLICATIONS TO TOTALLY GEODESIC FOLIATIONS
• Conformal Geometry and the Cyclides of Dupin

This page was built for publication: An extrinsic decomposition theorem and a slant tube theorem for a curvature netted hypersurface