SHAPE OPERATOR AND GAUSS MAP OF POINTWISE 1-TYPE

We examine the relationship of the shape operator of a surface of Euclidean 3-space with its Gauss map of pointwise 1-type. Surfaces with constant mean curvature and right circular cones with respect to some properties of the shape operator are characterized when their Gauss map is of pointwise 1-ty...

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Published inJournal of the Korean Mathematical Society Vol. 52; no. 6; pp. 1337 - 1346
Main Authors KIM, DONG-SOO, KIM, YOUNG HO
Format Journal Article
LanguageKorean
Published 2015
Subjects
Gauss map
pointwise 1-type
shape operator
finite type
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Abstract We examine the relationship of the shape operator of a surface of Euclidean 3-space with its Gauss map of pointwise 1-type. Surfaces with constant mean curvature and right circular cones with respect to some properties of the shape operator are characterized when their Gauss map is of pointwise 1-type.
AbstractList We examine the relationship of the shape operator of a surface of Euclidean 3-space with its Gauss map of pointwise 1-type. Surfaces with constant mean curvature and right circular cones with respect to some properties of the shape operator are characterized when their Gauss map is of pointwise 1-type.
Author KIM, DONG-SOO
KIM, YOUNG HO
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Keywords Gauss map
pointwise 1-type
shape operator
finite type
Language Korean
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Snippet We examine the relationship of the shape operator of a surface of Euclidean 3-space with its Gauss map of pointwise 1-type. Surfaces with constant mean...
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