Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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On the Ruled Surfaces with L1-Pointwise 1-Type Gauss Map

  • Received : 2014.06.18
  • Accepted : 2014.10.17
  • Published : 2017.03.23
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Abstract

In this paper, we study ruled surfaces in 3-dimensional Euclidean and Minkowski space in terms of their Gauss map. We obtain classification theorems for these type of surfaces whose Gauss map G satisfying ${\Box}G=f(G+C)$ for a constant vector $C{\in}{\mathbb{E}}^3$ and a smooth function f, where ${\Box}$ denotes the Cheng-Yau operator.

Keywords

Acknowledgement

Supported by : National Research Foundation of Korea (NRF)

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