Sphere theorems for Lagrangian and Legendrian submanifolds

2018/10/22 by Jun Sun, Sun, Jun, Linlin Sun +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Computer science #Differentiable function #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Lagrangian #Manifold (fluid mechanics) #Mathematical analysis #Mathematics #Pure mathematics #Space (punctuation) #math.DG

paper · pdf · doi:10.48550/arxiv.1810.09445

published in arXiv (Cornell University) (Cornell University) · 26 pages. arXiv admin note: substantial text overlap with arXiv:1810.07568

arxiv created 2018/10/22 · openalex publication_date 2018/10/22 · arxiv updated 2018/10/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08

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
• Sphere theorems for submanifolds in Kähler Manifold

Cited by

• The Rigidity Theorem of Legendrian self-shrinkers

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