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arXiv:math/0608726 [math.DG]AbstractReferencesReviewsResources

Weierstrass representation for timelike minimal surfaces in Minkowski 3-space

Sungwook Lee

Published 2006-08-29, updated 2006-08-30Version 2

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.

Comments: 16 pages, 8 figures
Categories: math.DG
Subjects: 53A10, 53C42, 53C50, 53C80
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