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arXiv:1305.5419 [math.DG]AbstractReferencesReviewsResources

Space-like Surfaces in Minkowski Space $\mathbb E^4_1$ with Pointwise 1-Type Gauss Map

Uğur Dursun, Nurettin Cenk Turgay

Published 2013-05-22Version 1

In this work we firstly classify space-like surfaces in Minkowski space $\mathbb E^4_1$, de-Sitter space $\mathbb S^3_1$ and hyperbolic space $\mathbb H^3$ with harmonic Gauss map. Then we give a characterization and classification of space-like surfaces with pointwise 1-type Gauss map of the first kind. We also give some explicit examples.

Comments: arXiv admin note: text overlap with arXiv:1302.2910 by other authors
Categories: math.DG
Subjects: 53B25, 53C50
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