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ON THE GAUSS MAP OF SURFACES OF REVOLUTION WITHOUT PARABOLIC POINTS
- Authors
- Kim, Young Ho; Lee, Chul Woo; Yoon, Dae Won
- Issue Date
- Nov-2009
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- Gauss map; surface of revolution; Laplace operator; second fundamental form
- Citation
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.46, no.6, pp 1141 - 1149
- Pages
- 9
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 46
- Number
- 6
- Start Page
- 1141
- End Page
- 1149
- ISSN
- 1015-8634
2234-3016
- Abstract
- In this article, we study surfaces of revolution without parabolic points in a Euclidean 3-space whose Gauss map C satisfies the condition Delta(h)G = AG, A is an element of Mat(3,R), where Delta(h) denotes the Laplace operator of the second fundamental form It of the surface and Mat(3, R) the set of 3 x 3-real matrices, and also obtain the complete classification theorem for those In particular, we have a characterization of an ordinary sphere in terms of it.
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