Abstract
In this paper, we study surfaces in 3-dimensional Minkowski space in terms of certain type of their Gauss map. We give several results on these surfaces whose Gauss map G satisfies □G = f(G + C) for a smooth function f and a constant vector C, where □ denotes the Cheng-Yau operator. In particular, we obtain classification theorems on the rotational surfaces in 𝔼3 1 with space-like axis of rotation in terms of type of their Gauss map concerning the Cheng-Yau operator.
Original language | English |
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Pages (from-to) | 381-397 |
Number of pages | 17 |
Journal | Journal of the Korean Mathematical Society |
Volume | 54 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2017 |
Bibliographical note
Publisher Copyright:© 2017 Korean Mathematical Society.
Keywords
- Cheng-Yau operator
- Gauss map
- Minkowski space
- □-pointwise 1-type