2009/06/12 by Rosa M. B. Chaves, Chaves, Rosa M. B., Martha P. Dussan +3
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Algebraic and Geometric Analysis #Advanced Differential Geometry Research
paper · pdf · doi:10.48550/arxiv.0906.2361
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 Björling problem for timelike surfaces and obtain interesting examples and related results. Using the Björling representation, we also obtain characterizations of minimal timelike surfaces of revolution as well as of minimal ruled timelike surfaces in the Lorentz-Minkowsi space.