English

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

Differential Geometry 2013-05-24 v1

Abstract

In this work we firstly classify space-like surfaces in Minkowski space E14\mathbb E^4_1, de-Sitter space S13\mathbb S^3_1 and hyperbolic space H3\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.

Keywords

Cite

@article{arxiv.1305.5419,
  title  = {Space-like Surfaces in Minkowski Space $\mathbb E^4_1$ with Pointwise 1-Type Gauss Map},
  author = {Uğur Dursun and Nurettin Cenk Turgay},
  journal= {arXiv preprint arXiv:1305.5419},
  year   = {2013}
}

Comments

arXiv admin note: text overlap with arXiv:1302.2910 by other authors

R2 v1 2026-06-22T00:21:20.277Z