On the isolation phenomena of Einstein manifolds—submanifolds versions

DOI10.1090/proc/13901zbMath1427.53049OpenAlexW2745303681MaRDI QIDQ3132803

Haizhong Li, Xiuxiu Cheng, An-Min Li, Ze-Jun Hu

Publication date: 30 January 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/13901

zbMATH Keywords

symmetric spaceEinstein manifoldLagrangian submanifoldaffine hyperspherecomplex projective space.

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Rigidity results (53C24) Lagrangian submanifolds; Maslov index (53D12) Affine differential geometry (53A15)

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Cites Work

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• Lagrangian submanifolds in complex projective space with parallel second fundamental form
• \(L^{n/2}\)-curvature gaps of the Weyl tensor
• Calabi product Lagrangian immersions in complex projective space and complex hyperbolic space
• Locally strongly convex affine hypersurfaces with parallel cubic form
• On four-dimensional Einstein affine hyperspheres
• Totally real submanifolds and symmetric bounded domains
• On locally strongly convex affine hypersurfaces with parallel cubic form. I
• Isotropic totally real submanifolds
• Isotropic submanifolds with parallel second fundamental form in \(P^ m(\)c)
• Totally real parallel submanifolds in \(P^ n(\)c)
• The Weyl functional, de Rham cohomology, and Kähler-Einstein metrics
• On Einstein manifolds of positive sectional curvature
• Totally real minimal submanifolds in \(CP^ n\)
• Calabi-type composition of affine spheres
• The Weyl functional near the Yamabe invariant
• Rigidity of Einstein 4-manifolds with positive curvature
• Positive Einstein metrics with small \(L^{n/2}\)-norm of the Weyl tensor
• Isolation of the Weyl conformal tensor for Einstein manifolds.
• Isotropic affine spheres
• Characterizations of the Calabi product of hyperbolic affine hyperspheres
• Affine spheres with constant affine sectional curvature
• Einstein manifolds with nonnegative isotropic curvature are locally symmetric
• Some theorems in affine differential geometry
• Totally Real Minimal Immersions of n-Dimensional Real Space Forms into n-Dimensional Complex Space Forms
• Parallel submanifolds of complex space forms II
• A theorem on Riemannian manifolds of positive curvature operator
• On Totally Real Submanifolds
• Global affine differential geometry of hypersurfaces

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