Sphere theorems for Lagrangian and Legendrian submanifolds

2018/10/22 by Jun Sun, Sun, Jun, Linlin Sun +1 · 1 citation
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Advanced Differential Geometry Research

paper · pdf · doi:10.48550/arxiv.1810.09445

Abstract

In this paper, we prove some differentiable sphere theorems and topological sphere theorems for Lagrangian submanifolds in Kähler manifold and Legendrian submanifolds in Sasaki space form.

Citations

• Calibrated geometries

Cited by

• The Rigidity Theorem of Legendrian self-shrinkers

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