Note on scalar curvature of extremal Kähler metrics on \(\mathbb{C} P^2 \# 2 \overline{\mathbb{C} P^2}\)

DOI10.1016/j.difgeo.2014.11.001zbMath1308.53108OpenAlexW2064624353WikidataQ115356112 ScholiaQ115356112MaRDI QIDQ2255139

Ti Yao Li

Publication date: 6 February 2015

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2014.11.001

zbMATH Keywords

scalar curvatureextremal Kähler metrics\(\mathbb{C} P^2 \# 2 \overline{\mathbb{C} P^2}\)

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

• Geometry of Kähler metrics and foliations by holomorphic discs
• Moment maps and combinatorial invariants of Hamiltonian \(T^ n\)-spaces
• Scalar curvature and projective embeddings. I
• Extremal metrics on toric surfaces
• Uniqueness of extremal Kähler metrics
• Scalar curvature and stability of toric varieties.
• KÄHLER GEOMETRY OF TORIC VARIETIES AND EXTREMAL METRICS
• UNIQUENESS OF EXTREMAL KÄHLER METRICS FOR AN INTEGRAL KÄHLER CLASS
• Einstein manifolds and extremal Kähler metrics
• Algorithms in real algebraic geometry
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