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Extension of Eigenvalue Problems on Gauss Map of Ruled Surfaces
- Source :
- Symmetry, Vol 10, Iss 10, p 514 (2018)
- Publication Year :
- 2018
- Publisher :
- MDPI AG, 2018.
-
Abstract
- A finite-type immersion or smooth map is a nice tool to classify submanifolds of Euclidean space, which comes from the eigenvalue problem of immersion. The notion of generalized 1-type is a natural generalization of 1-type in the usual sense and pointwise 1-type. We classify ruled surfaces with a generalized 1-type Gauss map as part of a plane, a circular cylinder, a cylinder over a base curve of an infinite type, a helicoid, a right cone and a conical surface of G-type.
Details
- Language :
- English
- ISSN :
- 20738994
- Volume :
- 10
- Issue :
- 10
- Database :
- Directory of Open Access Journals
- Journal :
- Symmetry
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.5ebc016f5e64f2e83e43adc7dd19141
- Document Type :
- article
- Full Text :
- https://doi.org/10.3390/sym10100514