On weaker notions for Kähler-Ricci solitons

DOI10.1007/s00229-024-01577-9MaRDI QIDQ6636591

Nefton Pali

Publication date: 12 November 2024

Published in: (Search for Journal in Brave)

zbMATH Keywords

Kähler-Ricci solitons

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Compact complex surfaces (32J15)

Cites Work

• The soliton-Ricci flow with variable volume forms
• Generalized Ricci solitons
• The Soliton-Kähler-Ricci flow over Fano manifolds
• Variational stability of Kähler-Ricci solitons
• Nonlinear models in \(2+\epsilon\) dimensions
• Limits of solutions to the Kähler-Ricci flow
• Three-manifolds with positive Ricci curvature
• Heterotic solitons on four-manifolds
• Plurisubharmonic functions and positive currents of type (1,1) on an almost complex manifold
• A second variation formula for Perelman's \(\mathcal W\)-functional along the modified Kähler-Ricci flow
• Characterization of Einstein-Fano manifolds via the K\"ahler-Ricci flow
• The Heterotic-Ricci flow and its three-dimensional solitons

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