On stability and index of minimal submanifolds
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Publication:4965213
DOI10.1090/conm/756/15197zbMath1459.53061OpenAlexW4210658277MaRDI QIDQ4965213
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Publication date: 26 February 2021
Published in: Geometry of Submanifolds (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/conm/756/15197
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20)
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- Minimal Lagrangian isotropic immersions in indefinite complex space forms
- Min-max hypersurface in manifold of positive Ricci curvature
- Estimates for the first eigenvalue of Jacobi operator on hypersurfaces with constant mean curvature in spheres
- Some pinching and classification theorems for minimal submanifolds
- New characterizations of the Clifford tori and the Veronese surface
- Low index minimal hypersurfaces of spheres
- Spectrum of the Laplacian and the Jacobi operator on rotational CMC hypersurfaces of spheres
- Lagrangian minimal surfaces in Lorentzian complex plane
- Estimate for index of closed minimal hypersurfaces in spheres
- On complete minimal surfaces with finite Morse index in three manifolds
- Stable minimal submanifolds in compact rank one symmetric spaces
- A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces
- Stable constant mean curvature tori and the isoperimetric problem in three space forms
- On Veronese manifolds
- Compact minimal submanifolds of a sphere with positive Ricci curvature
- The second variation of area of minimal surfaces in four-manifolds
- The structure of stable minimal hypersurfaces in \(\mathbb{R}^{n+1}\)
- Compact minimal hypersurfaces with index one in the real projective space
- Minimal hypersurfaces with finite index
- Lagrangian minimal isometric immersions of a Lorentzian real space form into a Lorentzian complex space form
- Comparing the Morse index and the first Betti number of minimal hypersurfaces
- Schwarz' \(P\) and \(D\) surfaces are stable
- Complete minimal surfaces with index one and stable constant mean curvature surfaces
- On stable currents and their application to global problems in real and complex geometry
- On stable compact minimal submanifolds of Riemannian product manifolds
- Second variation of one-sided complete minimal surfaces
- Virtual immersions and minimal hypersurfaces in compact symmetric spaces
- Minimal surfaces and the Allen-Cahn equation on 3-manifolds: index, multiplicity, and curvature estimates
- Minimal surfaces in \(\mathbb{S}^{2} \times \mathbb{S}^{2}\)
- Complete nonorientable minimal surfaces in \(\mathbb{R}^ 3\)
- A minimal immersion of the hyperbolic plane into the neutral pseudo-hyperbolic 4-space and its characterization
- Existence of infinitely many minimal hypersurfaces in positive Ricci curvature
- Robust index bounds for minimal hypersurfaces of isoparametric submanifolds and symmetric spaces
- One-sided complete stable minimal surfaces
- Minimal Lagrangian surfaces in \(\mathbb S^2 \times \mathbb S^2\)
- Minimal varieties in Riemannian manifolds
- Stable minimal surfaces in \(M\times \mathbb R\)
- Existence of minimal surfaces of arbitrarily large Morse index
- Second variation and stabilities of minimal Lagrangian submanifolds in Kähler manifolds
- Minimal Surfaces with Low Index in the Three-Dimensional Sphere
- Index bounds for minimal hypersurfaces of the sphere
- On the Existence and Nonexistence of Stable Submanifolds and Currents in Positively Curved Manifolds and the Topology of Submanifolds in Euclidean Spaces
- Minimal flat Lorentzian surfaces in Lorentzian complex space forms
- Minimal Submanifolds of a Sphere With Bounded Second Fundamental Form
- On stable complete minimal hypersurfaces in R n +1
- The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
- Stable complete minimal surfaces in 𝑅³ are planes
- Curvature Pinching for Three-Dimensional Minimal Submanifolds in a Sphere
- Submanifolds with Constant Mean Curvature
- Second variation of superminimal surfaces into self-dual Einstein four-manifolds
- Some nonexistence theorems on stable minimal submanifolds
- On the nonexistence of stable minimal submanifolds and the Lawson–Simons conjecture
- On stable currents and positively curved hypersurfaces
- First stability eigenvalue characterization of Clifford hypersurfaces
- ON ISOMETRIC MINIMAL IMMERSIONS FROM WARPED PRODUCTS INTO REAL SPACE FORMS
- The spaces of index one minimal surfaces and stable constant mean curvature surfaces embedded in flat three manifolds
- An exotic totally real minimal immersion of S3 in ℂP3 and its characterisation
- Classification of minimal Lorentz surfaces in indefinite space forms with arbitrary codimension and arbitrary index
- Minimal Submanifolds and Related Topics
- On stable compact minimal submanifolds
- Minimal Hypersurfaces in an m-Sphere
- Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
- Minimal Surfaces in S m with Gauss Curvature ≦0
- Minimal Surfaces with Constant Gauss Curvature
- A characterization of the Clifford torus
- Rigidity of minimal submanifolds in space forms
