Ricci positive metrics on the moment-angle manifolds

DOI10.1007/s11401-019-0145-5zbMath1445.53025OpenAlexW2943054556WikidataQ127951832 ScholiaQ127951832MaRDI QIDQ2002167

Feifei Fan, Liman Chen

Publication date: 11 July 2019

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-019-0145-5

zbMATH Keywords

positive Ricci curvaturesimple polytopemoment-angle manifoldsFano polytopecutting off face

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Polyhedral manifolds (52B70)

Cites Work

• Unnamed Item
• Unnamed Item
• On the moment-angle manifolds of positive Ricci curvature
• Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
• Positive Ricci curvature on the connected sums of \(S^ n\times S^ m\)
• On the structure of manifolds with positive scalar curvature
• Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature
• The classification of simply connected manifolds of positive scalar curvature
• Metric deformations of curvature. I: Local convex deformations
• Invariant metrics of positive Ricci curvature on principal bundles
• A new geometric construction of compact complex manifolds in any dimension
• Intersections of quadrics, moment-angle manifolds and connected sums
• New connected sums with positive Ricci curvature
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• A new family of complex, compact, non-symplectic manifolds
• Holomorphic principal bundles over projective toric varieties

This page was built for publication: Ricci positive metrics on the moment-angle manifolds