Weierstrass representation for timelike minimal surfaces in Minkowski 3-space

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Using techniques of integrable systems, we study a Weierstrass representation formula for timelike surfaces with prescribed mean curvature in Minkowski 3-space. It is shown that timelike minimal surfaces are obtained by integrating a pair of Lorentz holomorphic and Lorentz antiholomorphic null curves in Minkowski 3-space. The relationship between timelike minimal surfaces and bosonic Nambu-Goto string worldsheets in spacetime is also discussed in the appendix.
16 pages, 8 figures

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Differential Geometry, 53A10, 53C42, 53C50, 53C80

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http://salesiana.dossiersoluciones.com/handle/123456789/115607

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0608726
 http://arxiv.org/abs/math/0608726

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arXiv