English

Legendre surfaces with harmonic mean curvature vector field in the unit 5-sphere

Differential Geometry 2014-12-11 v1

Abstract

We obtain the explicit representation of Legendre surfaces in the unit 55-sphere with harmonic mean curvature vector field, under the condition that the mean curvature function is constant along a certain special direction.

Keywords

Cite

@article{arxiv.1412.3310,
  title  = {Legendre surfaces with harmonic mean curvature vector field in the unit 5-sphere},
  author = {Toru Sasahara},
  journal= {arXiv preprint arXiv:1412.3310},
  year   = {2014}
}

Comments

7 pages, added appendix