A survey tracing the development of weighted extremal Kähler metrics and reviewing recent work on the YTD conjecture for their existence.
Aubin : Equations du type de Monge-Amp` ere sur les vari´ et´ es k¨ ahl´ eriennes compactes, C
2 Pith papers cite this work. Polarity classification is still indexing.
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math.DG 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
A survey summarizing that existence of coupled Kähler-Einstein metrics and weighted solitons on Fano manifolds equates to generalized K-polystability conditions.
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On weighted extremal K\"ahler metrics
A survey tracing the development of weighted extremal Kähler metrics and reviewing recent work on the YTD conjecture for their existence.
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On coupled K\"ahler-Einstein metrics and weighted solitons on Fano manifolds
A survey summarizing that existence of coupled Kähler-Einstein metrics and weighted solitons on Fano manifolds equates to generalized K-polystability conditions.