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J. Korean Math. Soc. 2015; 52(6): 1337-1346
Printed November 1, 2015
https://doi.org/10.4134/JKMS.2015.52.6.1337
Copyright © The Korean Mathematical Society.
Shape operator and Gauss map of pointwise 1-type
Dong-Soo Kim and Young Ho Kim
Chonnam National University, Kyungpook National University
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.
Keywords: shape operator, Gauss map, finite type, pointwise 1-type
MSC numbers: Primary 53B25, 53C40
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