论文标题

三维海森伯格集团中的时间级最小表面

Timelike minimal surfaces in the three-dimensional Heisenberg group

论文作者

Kiyohara, Hirotaka, Kobayashi, Shimpei

论文摘要

研究了三维的海森堡组的及时表面,并研究了左左半摩恩曼指标。特别是,非垂直时间的最小表面的特征是非统一的洛伦兹谐波图到de Sitter两个phere。根据表征,将通过循环组分解建立广义的WeierStrass类型表示。

Timelike surfaces in the three-dimensional Heisenberg group with left invariant semi-Riemannian metric are studied. In particular, non-vertical timelike minimal surfaces are characterized by the non-conformal Lorentz harmonic maps into the de Sitter two phere. On the basis of the characterization, the generalized Weierstrass type representation will be established through the loop group decompositions.

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