Q2中常曲率拉格朗日曲面
The Lagrangian surfaces with constant curvature in Q_2
摘要
描述了复流形Q2中一类常曲率H极小拉格朗日曲面,并且给出Q2中一个高斯曲率K=2的极小拉格朗日球面.
A class of H-minimal Lagrangian surfaces with constant curvature in Q2 was described, and an example was given of minimal Lagrangian S2 with Gaussian curvature K=2.
关键词
拉格朗日曲面
常曲率
H极小
Lagrangian surfaces
constant curvature
H-minimal
参考文献8
-
1Castro I, Urbano F. Examples of unstable Hamiltonian-minimal Lagrangian tori in C2 [J]. Compositio Math, 1998, 111: 1-14.
-
2Schoen R, Wolfson J. Minimizing volume among Lagrangian submanifolds [C]// Proc Sympos Pure Math: Vol 65. Providence, RI: Amer Math Soc, 1999: 181-199.
-
3Ma H, Schmies M. Examples of Hamiltonian stationary Lagrangian tori in CP2[J]. Geom Dedicata, 2006, 118: 173-183.
-
4Mironov A E, Zuo D. On a family of conformally flat Hamiltonian minimal Lagrangian tori in CP3 [J]. Int Math Res Not, 2008,2008: 10. 1093/imrn/rnn078.
-
5Jiao X X, Wang J. Totally real minimal surfaces in the complex hyperquadrics[J]. Diff Geo Appl, 2013, 31: 540-555.
-
6Hu S, Chen Q, Xu X W. Construction of Lagrangian submanifolds in CPn[J]. Pacific Journal of Math, 2012, 258: 31-49.
-
7Chern S S, Wolfson J. Minimal surfaces by moving frames[J]. Amer J Math, 1983, 105(1):59-83.
-
8Yang K. Complete and Compact Minimal Surface[M]. Dordrecht: Kluwer Academic, 1989.
-
1李梁,崔宁伟,王佳.一类射影平坦且具有常曲率的(α,β)度量[J].西南师范大学学报(自然科学版),2006,31(6):28-31. 被引量:7
-
2文涛,扈培础.复流形上全纯映射值分布理论的某些进展[J].数学进展,1990,19(4):385-395.
-
3蒋声.流形上的结构与结合代数[J].扬州师院学报(自然科学版),1992,12(3):6-9.
-
4焦晓祥.关于从曲面到U(N)中的调和映射的因子分解和群作用[J].Northeastern Mathematical Journal,2000,16(2):160-166.
-
5孙国汉,赵培标,陈广华.关于全脐子流形[J].长沙水电师院学报(自然科学版),1997,12(4):345-348.
-
6王伟.~2中退化实解析超曲面的规范型[J].杭州大学学报(自然科学版),1997,24(2):100-107.
-
7姬兴民,王红.常曲率空间中的紧致子流形[J].内蒙古大学学报(自然科学版),2004,35(3):256-259.
-
8吴晓勤,李轮换.复流形上(p,q)形式的带权因子的积分表示[J].数学研究,1994,27(2):52-59.
-
9杨建强.黎曼曲面上留数定理的另一种证明[J].科协论坛(下半月),2011(3):75-76.
-
10杨华建,黄锦能.复射影空间CP(2n+1)上保持定向的光滑对合[J].数学年刊(A辑),1993,1(5):604-612.