On energy gap phenomena of the Whitney spheres in \(\mathbb{C}^n\) or \(\mathbb{CP}^n\)
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Publication:6063484
DOI10.1007/s11401-023-0034-9arXiv2108.09657OpenAlexW4388082743MaRDI QIDQ6063484
Publication date: 7 November 2023
Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.09657
Cites Work
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- On geometrically constrained variational problems of the Willmore functional. I: The Lagrangian-Willmore problem
- Global pinching theorems for even dimensional minimal submanifolds in the unit spheres
- Lagrangian submanifolds of \(C^n\) with conformal Maslov form and the Whitney sphere
- An intrinsic rigidity theorem for minimal submanifolds in a sphere
- Lagrangian surfaces in the complex Euclidean plane with conformal Maslov form
- Riemannian geometry of Lagrangian submanifolds
- Total scalar curvature and \(L^2\) harmonic 1-forms on a minimal hypersurface in Euclidean space
- Evolution by mean curvature flow of Lagrangian spherical surfaces in complex Euclidean plane
- A basic inequality and new characterization of Whitney spheres in a complex space form
- Gap theorems for minimal submanifolds in \(\mathbb{R}^{n+1}\)
- Closed conformal vector fields and Lagrangian submanifolds in complex space forms.
- \(L_{n/2}\)-pinching theorems for submanifolds with parallel mean curvature in a sphere
- Twistor holomorphic Lagrangian surfaces in the complex projective and hyperbolic planes
- On Ricci curvature of isotropic and Lagrangian submanifolds in complex space forms
- A general gap theorem for submanifolds with parallel mean curvature in \(\mathbb R^{n+p}\)
- Local rigidity theorems for minimal hypersurfaces
- Lagrangian mean curvature flow of Whitney spheres
- An energy gap phenomenon for the Whitney sphere
- Gap theorems for Lagrangian submanifolds in complex space forms
- On energy gap phenomena of the Whitney sphere and related problems
- Sur la géométrie des sous-fibrés et des feuilletages lagrangiens
- Sobolev and isoperimetric inequalities for riemannian submanifolds
- A Global Pinching Theorem of Minimal Hypersurfaces in the Sphere
- Jacobi's elliptic functions and Lagrangian immersions
- Sobolev and mean‐value inequalities on generalized submanifolds of Rn
- Riemannian geometry of contact and symplectic manifolds
- Willmore surfaces on \(\mathbb{R}^4\) and the Whitney sphere
- Lectures on symplectic geometry