Asymptotic stability for Kähler-Ricci solitons

DOI10.1007/s00209-015-1518-4zbMath1329.53067arXiv1503.05668OpenAlexW3102335014MaRDI QIDQ897509

Ryosuke Takahashi

Publication date: 7 December 2015

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.05668

zbMATH Keywords

Fano manifoldKähler-Ricci solitonbalanced metric

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items

Anticanonically balanced metrics on Fano manifolds ⋮ Anticanonically balanced metrics and the Hilbert-Mumford criterion for the \(\delta_m\)-invariant of Fujita-Odaka ⋮ Geometric quantization of coupled Kähler-Einstein metrics ⋮ Balanced metrics for Kähler-Ricci solitons and quantized Futaki invariants

Cites Work

• A variational approach to complex Monge-Ampère equations
• Monge-Ampère equations in big cohomology classes
• Asymptotics of polybalanced metrics under relative stability constraints
• A new holomorphic invariant and uniqueness of Kähler-Ricci solitons
• An example of an asymptotically Chow unstable manifold with constant scalar curvature
• Growth of balls of holomorphic sections and energy at equilibrium
• An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds. II
• Some numerical results in complex differential geometry
• On automorphism groups of compact Kähler manifolds
• Scalar curvature and projective embeddings. I
• Uniqueness of Kähler-Ricci solitons.
• ON THE MODIFIED FUTAKI INVARIANT OF COMPLETE INTERSECTIONS IN PROJECTIVE SPACES
• ASYMPTOTIC CHOW SEMI-STABILITY AND INTEGRAL INVARIANTS
• K‐Stability and Kähler‐Einstein Metrics
• Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches \boldmath2𝜋 and completion of the main proof