期刊文献+

具有部分调和高斯映照的Lagrangian图的Bernstein型结果

Bernstein Type Results for Lagrangian Graphs with Partially Harmonic Gauss Map
下载PDF
导出
摘要 对于Hamiltonian极小和具有共形Maslov形式的Lagrangian图,建立了Bernstein型的定理,推广了已知关于极小Lagrangian子流形的一些结果. The author establishes Bernstein theorems for Lagrangian grap Hamiltonian minimal or have conformal Maslov form. Some known result submanifolds are generalized. hs which are s of minimal
作者 张玮
出处 《数学年刊(A辑)》 CSCD 北大核心 2009年第2期251-256,共6页 Chinese Annals of Mathematics
关键词 Bernstein型定理 Hamiltonian极小 共形Maslov形式 Lagrargian GRASSMANN流形 Bernstein type theorem, Hamiltonian minimal, Conformal Maslov form, Lagrangian Grassmann manifold
  • 相关文献

参考文献14

  • 1Ecker K. and Huisken G., A Bernstein result for minimal graphs of controlled growth [J], J. Differential Geom., 1990, 31(2):397-400.
  • 2Jost J. and Xin Y. L., Bernstein type theorems for higher codimension [J], Calc. Var. Partial Differential Equations, 1999, 9(4):277-296.
  • 3Wang M. T., On graphic Bernstein type results in higher codimension [J], Trans. Amer. Math. Soc., 2003, 355(1):265-271.
  • 4Gross M., Daniel Huybrechts and Dominic Joyce, Calabi-Yau Manifolds and Related Geometries [M], Universitext Series-Verlag, Berlin: Springer-Verlag, 2003.
  • 5Jost J. and Xin Y. L., A Bernstein theorem for special Lagrangian graphs [J], Calc. Var. Partial Differential Equations, 2002, 15(3):299-312.
  • 6Yuan Y., A Bernstein problem for special Lagrangian equation [J], Invent. Math., 2002, 150(1):117-125.
  • 7Oh Y. G., Second variation and stabilities of minimal Lagrangian submanifolds in Kahler manifolds [J], Invent. Math., 1990, 101:501-519.
  • 8Ros A. and Urbano F., Lagrangian submanifolds of C^n with conformal Maslov form and the whitney sphere [J], J. Math. Soc. Japan, 1998, 50:203-226.
  • 9Hildebrandt S., Jost J. and Widman K. O., Harmonic mappings and minimal submanifolds [J], Invent. Math., 1980, 62:269-298.
  • 10Audin M., Cannas da Silva A. and Lerman E., Symplectic Geometry of Integrable Hamiltonian Systems [M], Basel: Birkhauser, 2003.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部