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Lagrangian minimal surfaces in Lorentzian complex plane
Authors:Bang-Yen Chen
Affiliation:(1) Department of Mathematics, Michigan State University, East Lansing, MI 48824–1027, USA
Abstract:Flat Lagrangian minimal surfaces in the Lorentzian complex plane $${mathbb{C}}^{2}_{1}$$ are classified by B. Y. Chen and L. Vrancken in [8]. On the other hand, Vrancken proves in [11] that Lagrangian minimal surfaces of constant curvature in $${mathbb{C}}^{2}_{1}$$ are flat surfaces. In this article, we classify all Lagrangian minimal surfaces in $${mathbb{C}}^{2}_{1}$$ which are free from flat points. Received: 16 December 2007
Keywords:  KeywordHeading"  >Mathematics Subject Classification (2000). Primary 53D12  Secondary 53C40
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