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

DOI10.4310/CAG.2014.v22.n2.a4zbMath1305.53080arXiv1109.1345MaRDI QIDQ2252675

Xian Feng Wang, Haizhong Li

Publication date: 22 July 2014

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.1345

zbMATH Keywords

holomorphic sectional curvatureLagrangian submanifoldcomplex space form

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Other complex differential geometry (53C56) Lagrangian submanifolds; Maslov index (53D12)

Related Items

On product minimal Lagrangian submanifolds in complex space forms ⋮ Complete Lagrangian self-expanders in \(\mathbb{C}^2\) ⋮ Rigidity of closed CSL submanifolds in the unit sphere ⋮ Mean curvature flow of arbitrary codimension in complex projective spaces ⋮ New characterizations of the Clifford torus as a Lagrangian self-shrinker ⋮ Sphere theorems for Lagrangian and Legendrian submanifolds