𝐾-stability on toric manifolds

DOI10.1090/S0002-9939-08-09485-9zbMath1155.53040arXiv0706.0505MaRDI QIDQ3522331

Bin Zhou, Xiaohua Zhu

Publication date: 1 September 2008

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

Full work available at URL: https://arxiv.org/abs/0706.0505

zbMATH Keywords

toric manifoldsextremal metricsK-stability

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Critical metrics (58E11) Compact complex surfaces (32J15)

Related Items (17)

Variational solutions to extremal metrics on toric surfaces ⋮ On K-stability and the volume functions of ℚ-Fano varieties: Table 1. ⋮ \(W^{4, p}\) solution to the second boundary value problem of the prescribed affine mean curvature and Abreu's equations ⋮ Extremal Kähler Poincaré type metrics on toric varieties ⋮ \(G\)-Sasaki manifolds and K-energy ⋮ Relative algebro-geometric stabilities of toric manifolds ⋮ Real Monge-Ampère equations and Kähler-Ricci solitons on toric log Fano varieties ⋮ Relative Ding and K-stability of toric Fano manifolds in low dimensions ⋮ A Note on Extremal Toric Almost Kähler Metrics ⋮ On the existence and nonexistence of extremal metrics on toric Kähler surfaces ⋮ Weighted K-stability for a class of non-compact toric fibrations ⋮ Toric partial density functions and stability of toric varieties ⋮ Uniform K-stability for extremal metrics on toric varieties ⋮ Toric surfaces, \(K\)-stability and Calabi flow ⋮ Conformally Kähler, Einstein-Maxwell metrics on Hirzebruch surfaces ⋮ Extremal Kähler metrics on projective bundles over a curve ⋮ Extremal Kähler metrics and energy functionals on projective bundles

Cites Work

• Unnamed Item
• Minimizing weak solutions for Calabi's extremal metrics on toric manifolds
• Relative K-stability and modified K-energy on toric manifolds
• Kähler-Einstein metrics with positive scalar curvature
• Scalar curvature and projective embeddings. I
• On modified Mabuchi functional and Mabuchi moduli space of Kähler metrics on toric bundles
• An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds. I.
• Scalar curvature and stability of toric varieties.
• Extremal metrics and K-stability
• KÄHLER GEOMETRY OF TORIC VARIETIES AND EXTREMAL METRICS

This page was built for publication: 𝐾-stability on toric manifolds