Constant \(\mu \)-scalar curvature Kähler metric -- formulation and foundational results

DOI10.1007/s12220-021-00758-2zbMath1487.32135arXiv1902.00664OpenAlexW4212792185WikidataQ125974405 ScholiaQ125974405MaRDI QIDQ2117494

Eiji Inoue

Publication date: 21 March 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.00664

zbMATH Keywords

Kähler-Ricci solitonextremal metric

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Local differential geometry of Hermitian and Kählerian structures (53B35)

Related Items (4)

On the Yau‐Tian‐Donaldson Conjecture for Generalized Kähler‐Ricci Soliton Equations ⋮ Weighted K-stability and coercivity with applications to extremal Kähler and Sasaki metrics ⋮ A Yau-Tian-Donaldson correspondence on a class of toric fibrations ⋮ Existence and non-existence of constant scalar curvature and extremal Sasaki metrics

Cites Work

• On generalized Kähler-Ricci solitons
• Kähler-Einstein metrics: old and new
• A new holomorphic invariant and uniqueness of Kähler-Ricci solitons
• Extremal Kähler metrics and complex deformation theory
• The space of Kähler metrics.
• Moment map, Futaki invariant and stability of projective manifolds
• The moduli space of Fano manifolds with Kähler-Ricci solitons
• Kähler metrics with constant weighted scalar curvature and weighted K‐stability
• Convexity of the 𝐾-energy on the space of Kähler metrics and uniqueness of extremal metrics
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