A differentiable sphere theorem for compact Lagrangian submanifolds in complex Euclidean space and complex projective space

Haizhong Li; Xianfeng Wang

doi:10.4310/cag.2014.v22.n2.a4

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A differentiable sphere theorem for compact Lagrangian submanifolds in complex Euclidean space and complex projective space

Haizhong Li Xianfeng Wang

Year: 2014 Journal: Communications in Analysis and Geometry Vol: 22 (2)Pages: 269-288

DOI: 10.4310/cag.2014.v22.n2.a4

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Abstract

We obtain a new differentiable sphere theorem for compact Lagrangian submanifolds in complex Euclidean space and complex projective space.

Keywords:

Mathematics Complex projective space Differentiable function Projective space Pure mathematics Euclidean space Quaternionic projective space Euclidean geometry Complex space Space (punctuation) Projective test Lagrangian Mathematical analysis Seven-dimensional space Real projective space Euclidean distance matrix Geometry Computer science

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Topics

Geometric Analysis and Curvature Flows

Physical Sciences → Mathematics → Applied Mathematics

Geometry and complex manifolds

Physical Sciences → Mathematics → Geometry and Topology

Advanced Differential Geometry Research

Physical Sciences → Physics and Astronomy → Astronomy and Astrophysics

A differentiable sphere theorem for compact Lagrangian submanifolds in complex Euclidean space and complex projective space

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