Calabi's conjecture of the Kähler-Ricci soliton type

DOI10.1007/S12220-015-9669-4zbMath1354.53057OpenAlexW2187639151WikidataQ123205895 ScholiaQ123205895MaRDI QIDQ345325

Kenta Tottori

Publication date: 1 December 2016

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

Full work available at URL: https://doi.org/10.1007/s12220-015-9669-4

zbMATH Keywords

holomorphic vector fieldKähler-Ricci solitongeometric flowCalabi's conjecture

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Critical metrics (58E11)

Cites Work

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• Deformation of Kähler metrics to Kähler-Einstein metrics on compact Kähler manifolds
• Extremal Kähler metrics and complex deformation theory
• Bilinear forms and extremal Kähler vector fields associated with Kähler classes
• Multiplier ideal sheaves and the Kähler-Ricci flow
• An Introduction to the Kähler–Ricci Flow
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• Kähler-Ricci soliton typed equations on compact complex manifolds with \(c_1(M)>0\).

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