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

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.

10 pages

References in corpus (1)

• Polar transform of Spacelike isothermic surfaces in 4-dimensional Lorentzian space forms

Cited by in corpus (1)

• Conformal geometry of quasi-umbilical timelike surfaces