Helicoidal surfaces and their Gauss map in Minkowski 3-space II

Miekyung Choi; Young Ho Kim; Gi-Chan Park

doi:10.4134/BKMS.2009.46.3.567

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Bull. Korean Math. Soc. 2009; 46(3): 567-576

Printed May 1, 2009

https://doi.org/10.4134/BKMS.2009.46.3.567

Helicoidal surfaces and their Gauss map in Minkowski 3-space II

Miekyung Choi, Young Ho Kim, and Gi-Chan Park

Kyungpook National University

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Abstract

We classify and characterize the rational helicoidal surfaces in a three-dimensional Minkowski space satisfying pointwise 1-type like problem on the Gauss map.

Keywords: helicoidal surfaces, harmonic Gauss map, Minkowski space

MSC numbers: Primary 53B25, Secondary 53C40

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Helicoidal surfaces and their Gauss map in Minkowski 3-space II

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Helicoidal surfaces and their Gauss map in Minkowski 3-space II

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Bulletin of the
Korean Mathematical Society BKMS