Lagrangian geometry of the Gauss images of isoparametric hypersurfaces in spheres

IF 0.5 Q3 MATHEMATICS

Complex Manifolds Pub Date : 2019-01-01 DOI:10.1515/coma-2019-0013

R. Miyaoka, Y. Ohnita

引用次数: 0

Abstract

Abstract The Gauss images of isoparametric hypersufaces of the standard sphere Sn+1 provide a rich class of compact minimal Lagrangian submanifolds embedded in the complex hyperquadric Qn(ℂ). This is a survey article based on our joint work [17] to study the Hamiltonian non-displaceability and related properties of such Lagrangian submanifolds.

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球中等参超曲面高斯像的拉格朗日几何

摘要标准球Sn+1等参超曲面的高斯像提供了一类丰富的嵌入复超二次曲面Qn中的紧致极小拉格朗日子流形(ℂ). 这是一篇基于我们的联合工作[17]的综述文章，旨在研究这类拉格朗日子流形的哈密顿不可位移性和相关性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Complex Manifolds MATHEMATICS-

CiteScore

1.30

自引率

20.00%

发文量

审稿时长

25 weeks

期刊介绍： Complex Manifolds is devoted to the publication of results on these and related topics: Hermitian geometry, Kähler and hyperkähler geometry Calabi-Yau metrics, PDE''s on complex manifolds Generalized complex geometry Deformations of complex structures Twistor theory Geometric flows on complex manifolds Almost complex geometry Quaternionic geometry Geometric theory of analytic functions Holomorphic dynamics Several complex variables Dolbeault cohomology CR geometry.