Weierstrass representation for timelike minimal surfaces in Minkowski 3-space

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dc.creatorLee, Sungwook
dc.date2006-08-29
dc.date2006-08-30
dc.date.accessioned2026-07-07T07:22:17Z
dc.date.available2026-07-07T07:22:17Z
dc.descriptionUsing 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.
dc.description16 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/math/0608726
dc.identifierhttp://arxiv.org/abs/math/0608726
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115607
dc.subjectDifferential Geometry
dc.subject53A10, 53C42, 53C50, 53C80
dc.titleWeierstrass representation for timelike minimal surfaces in Minkowski 3-space
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