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

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

2008-10-03

arxiv.org/abs/0810.0559v2

International Journal of Geometric Methods in Modern Physics (IJGMMP), Vol.7 No. 7 (November 2010) 1147-1158

Mathematics

Differential Geometry

10 pages

Scientific paper

10.1142/S0219887810004774

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.

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