The Symplectic Critical Surfaces in a kahler Surface

被引：1
|
作者：
Han, Xiaoli [1 ]
Li, Jiayu [2 ,3 ]
Sun, Jun [4 ]
机构：
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
[2] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China
[3] AMSS CAS, Beijing 100190, Peoples R China
[4] Wuhan Univ, Sch Math Sci, Wuhan 430072, Peoples R China
来源：
GEOMETRY AND TOPOLOGY OF MANIFOLDS | 2016年 / 154卷
关键词：
Minimal surfaces; Holomorphic curves; Symplectic surfaces; MINIMAL-SURFACES;
D O I：
10.1007/978-4-431-56021-0_10
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the functional L-beta = integral(Sigma) 1/cos(beta) alpha d mu, beta not equal -1 class of symplectic surfaces. We derive the Euler-Lagrange equation. We call such a critical surface a beta-symplectic critical surface. When beta = 0, it is the equation of minimal surfaces. When beta not equal 0, a minimal surface with constant kahler angle satisfies this equation, especially, a holomorphic curve or a special Lagrangian surface satisfies this equation. We study the properties of the beta-symplectic critical surfaces.
引用
收藏
页码：185 / 193
页数：9
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