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Hypersurfaces of revolution with proportional principal curvatures
-
Vincent Coll
and
Michael Harrison
Published/Copyright:
July 11, 2013
Abstract
We classify hypersurfaces of revolution for which the principal curvatures are proportional. These hypersurfaces form a one-parameter family indexed by the reals. The subsequent classification unites at least two important families of hypersurfaces of revolution: the generalized catenoids and the equizonal ovaloids.
Keywords: Catenoid; equizonal ovaloids; hypersurfaces; hypersurfaces of revolution; minimal hypersurfaces; principal curvature
Published Online: 2013-07-11
Published in Print: 2013-07
© 2013 by Walter de Gruyter GmbH & Co.
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Keywords for this article
Catenoid;
equizonal ovaloids;
hypersurfaces;
hypersurfaces of revolution;
minimal hypersurfaces;
principal curvature
Articles in the same Issue
- Masthead
- Index and nullity of a family of harmonic tori in the sphere
- G-Fano threefolds, I
- G-Fano threefolds, II
- A local-to-global result for topological spherical buildings
- Biaffine polar spaces
- Adjoint pluricanonical systems on varieties of general type
- Hypersurfaces of revolution with proportional principal curvatures
- On metrically complete Bruhat–Tits buildings
- Veroneseans, power subspaces and independence
- Baer involutions and polarities in Moufang planes of characteristic two
- The Chern invariants for parabolic bundles at multiple points
