English

Blaschke's problem for timelike surfaces in pseudo-Riemannian space forms

Differential Geometry 2011-11-07 v2 Mathematical Physics math.MP

Abstract

We show that isothermic surfaces and S-Willmore surfaces are also the solutions to the corresponding Blaschke's problem for both spacelike and timelike surfaces in pseudo-Riemannian space forms. For timelike surfaces both Willmore and isothermic, we obtain a description by minimal surfaces similar to the classical results of Thomsen.

Keywords

Cite

@article{arxiv.0810.0559,
  title  = {Blaschke's problem for timelike surfaces in pseudo-Riemannian space forms},
  author = {Peng Wang},
  journal= {arXiv preprint arXiv:0810.0559},
  year   = {2011}
}

Comments

10 pages

R2 v1 2026-06-21T11:26:57.261Z