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The Relation Between the Generalized Gauss Map and the Classical Gauss Map in the Case of Surface in R
引用本文:孙存金. The Relation Between the Generalized Gauss Map and the Classical Gauss Map in the Case of Surface in R[J]. 苏州大学学报(医学版), 1988, 0(4)
作者姓名:孙存金
作者单位:Mathematics Department
摘    要:In this paper we prove Theorem 1 in a new way. This theorem directly, gives the relation between the generalized Gauss map and the classical Gauss map in the case of a surface in R~3. By Theorem 1, we can easily deduce an interesting corollary. This corollary covers some results of Hoffman and Osserman.


The Relation Between the Generalized Gauss Map and the Classical Gauss Map in the Case of Surface in R
Sun Cunjin Mathematics Department. The Relation Between the Generalized Gauss Map and the Classical Gauss Map in the Case of Surface in R[J]. Journal of Suzhou University(Natural Science), 1988, 0(4)
Authors:Sun Cunjin Mathematics Department
Affiliation:Sun Cunjin Mathematics Department
Abstract:In this paper we prove Theorem 1 in a new way. This theorem directly, gives the relation between the generalized Gauss map and the classical Gauss map in the case of a surface in R~3. By Theorem 1, we can easily deduce an interesting corollary. This corollary covers some results of Hoffman and Osserman.
Keywords:unit sphere   complex guadric   classical Gauss map   generalized Gauss map.
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