Dupin hypersurfaces with constant Laguerre curvatures
We consider proper Dupin hypersurfaces of the Euclidean space ℝn+1, that admit principal coordinate systems and have n distinct nonvanishing principal curvatures. We obtain explicitly all such hypersurfaces that have constant Laguerre curvatures. In particular, we show that they are determined by n−...
| Authors: | , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2017 |
| Country: | Brasil |
| Institution: | Universidade Federal de Viçosa (UFV) |
| Repository: | LOCUS Repositório Institucional da UFV |
| Language: | English |
| OAI Identifier: | oai:locus.ufv.br:123456789/21619 |
| Online Access: | https://doi.org/10.1007/s00229-017-0915-x http://www.locus.ufv.br/handle/123456789/21619 |
| Access Level: | Open access |
| Keyword: | Laguerre curvatures Dupin hypersurfaces |
| Summary: | We consider proper Dupin hypersurfaces of the Euclidean space ℝn+1, that admit principal coordinate systems and have n distinct nonvanishing principal curvatures. We obtain explicitly all such hypersurfaces that have constant Laguerre curvatures. In particular, we show that they are determined by n−2 Laguerre curvatures and two other constants, one of them being nonzero. |
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