Twisted and conical Kähler-Ricci solitons on Fano manifolds

DOI10.1016/j.jfa.2016.08.005zbMath1352.53061arXiv1412.1601OpenAlexW2514375274MaRDI QIDQ313984

Xi Zhang, Xishen Jin, Jia-Wei Liu

Publication date: 12 September 2016

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.1601

zbMATH Keywords

Fano manifoldKähler-Ricci solitonconical metric

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Fano varieties (14J45) Complex Monge-Ampère operators (32W20)

Related Items

The modified cusp Kähler-Ricci flow and soliton, Schauder estimates for equations with cone metrics, I

Cites Work

• Unnamed Item
• The greatest Ricci lower bound, conical Einstein metrics and Chern number inequality
• Conic singularities metrics with prescribed Ricci curvature: general cone angles along normal crossing divisors
• Conical Kähler-Einstein metrics revisited
• Conical Kähler-Ricci flows on Fano manifolds
• Eternal solutions to the Ricci flow
• A new holomorphic invariant and uniqueness of Kähler-Ricci solitons
• Comparison geometry for the Bakry-Emery Ricci tensor
• Modified Futaki invariant and equivariant Riemann-Roch formula
• Hölder continuity of solutions to the complex Monge-Ampère equation with the right-hand side in \(L^{p}\): the case of compact Kähler manifolds
• Bilinear forms and extremal Kähler vector fields associated with Kähler classes
• Kähler-Einstein metrics with positive scalar curvature
• A nonlinear inequality of Moser-Trudinger type
• Uniqueness of Kähler-Ricci solitons.
• On the structure of spaces with Ricci curvature bounded below. II
• Connecting toric manifolds by conical Kähler-Einstein metrics
• The structure of spaces with Bakry-Émery Ricci curvature bounded below
• A thermodynamical formalism for Monge-Ampère equations, Moser-Trudinger inequalities and Kähler-Einstein metrics
• Kähler-Ricci solitons on compact complex manifolds with \(C_{1}( M ) > 0\)
• Generalized Kähler–Einstein Metrics and Energy Functionals
• Greatest lower bounds on the Ricci curvature of Fano manifolds
• The Moser-Trudinger inequality on Kähler-Einstein manifolds
• Constructing Variations of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization
• ON STABILITY OF THE TANGENT BUNDLES OF FANO VARIETIES
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• Multiplier Hermitian structures on Kähler manifolds
• K‐Stability and Kähler‐Einstein Metrics
• Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities
• Kähler-Ricci soliton typed equations on compact complex manifolds with \(c_1(M)>0\).