Hessian of the Ricci-Calabi functional

DOI10.1090/proc/14321zbMath1414.53043arXiv1801.02431OpenAlexW2963209453MaRDI QIDQ4644720

Satoshi Nakamura

Publication date: 8 January 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.02431

zbMATH Keywords

Hessiangeneralized Kähler-Einstein metricsMatshushima-type decomposition theoremRicci-Calabi functional

Mathematics Subject Classification ID

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

Related Items (2)

Mabuchi's soliton metric and relative D-stability ⋮ Calabi type functionals for coupled Kähler-Einstein metrics

Cites Work

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• Holomorphic vector fields and perturbed extremal Kähler metrics
• Kähler-Einstein metrics and integral invariants
• Bilinear forms and extremal Kähler vector fields associated with Kähler classes
• Hessians of the Calabi functional and the norm function
• Sur la Structure du Groupe d’Homéomorphismes Analytiques d’une Certaine Variété Kaehlérinne
• The Ding Functional, Berndtsson Convexity and Moment Maps
• Kähler-Einstein metrics for manifolds with nonvanishing Futaki character

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