Björling problem for timelike surfaces in the Lorentz-Minkowski space

Details Björling problem for timelike surfaces in the Lorentz-Minkowski space Björling problem for timelike surfaces in the Lorentz-Minkowski space

2009-06-12

arxiv.org/abs/0906.2361v1

Mathematics

Differential Geometry

Scientific paper

We introduce a new approach to the study of timelike minimal surfaces in the Lorentz-Minkowski space through a split-complex representation formula for this kind of surface. As applications, we solve the Bj\"orling problem for timelike surfaces and obtain interesting examples and related results. Using the Bj\"orling representation, we also obtain characterizations of minimal timelike surfaces of revolution as well as of minimal ruled timelike surfaces in the Lorentz-Minkowsi space.

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