A volume stability theorem on toric manifolds with positive Ricci curvature

DOI10.1090/proc/12174zbMath1318.53079arXiv1210.5711OpenAlexW2006473569WikidataQ125852699 ScholiaQ125852699MaRDI QIDQ5255268

Feng Wang

Publication date: 12 June 2015

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

Full work available at URL: https://arxiv.org/abs/1210.5711

zbMATH Keywords

Ricci curvatureinvariant Kähler metric

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Cites Work

• Unnamed Item
• The volume of Kähler-Einstein Fano varieties and convex bodies
• Examples of Kähler-Einstein toric Fano manifolds associated to non-symmetric reflexive polytopes
• Partitions of mass-distributions and of convex bodies by hyperplanes
• Einstein-Kähler forms, Futaki invariants and convex geometry on toric Fano varieties
• On the structure of spaces with Ricci curvature bounded below. I
• Shape of manifolds with positive Ricci curvature
• Kähler manifolds with Ricci curvature lower bound
• Hamiltoniens périodiques et images convexes de l'application moment
• Moser-Trudinger type inequalities for complex Monge-Ampère operators and Aubin's ``hypothèse fondamentale

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