Kähler–Ricci solitons and generalized Tian–Zhu's invariant

DOI10.1142/S0129167X14500682zbMath1297.53052OpenAlexW2095489350WikidataQ126091701 ScholiaQ126091701MaRDI QIDQ2878769

Meikui Xiong

Publication date: 5 September 2014

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x14500682

zbMATH Keywords

Kähler-Ricci solitonsFano manifoldmodified \(K\)-energymodified \(K\)-stabilityTian-Zhu's invariant

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (5)

Bergman kernels for a sequence of almost Kähler-Ricci solitons ⋮ Modified Futaki invariant and equivariant Riemann-Roch formula ⋮ Uniformly strong convergence of Kähler-Ricci flows on a Fano manifold ⋮ The moduli space of Fano manifolds with Kähler-Ricci solitons ⋮ Kähler-Ricci flow for deformed complex structures

Cites Work

• A new holomorphic invariant and uniqueness of Kähler-Ricci solitons
• Relative K-stability and modified K-energy on toric manifolds
• Kähler-Einstein metrics and the generalized Futaki invariant
• Kähler-Einstein metrics with positive scalar curvature
• Uniqueness of Kähler-Ricci solitons.
• Kähler-Ricci solitons on compact complex manifolds with \(C_{1}( M ) > 0\)
• Extremal metrics and K-stability
• Kähler-Ricci soliton typed equations on compact complex manifolds with \(c_1(M)>0\).

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