Simon Donaldson

1. Interior estimates for solutions of Abreu's equation
   2004/07/28 by S. K. Donaldson, Simon Donaldson, Donaldson, S. K. · 16 citations
   Mathematics · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Meromorphic and Entire Functions #math.AP #math.DG
2. Kahler-Einstein metrics on Fano manifolds, III: limits as cone angle approaches 2π and completion of the main proof
   2013/02/01 by Xiuxiong Chen, Simon Donaldson, Chen, Xiuxiong +3 · 18 citations
   Mathematics · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Meromorphic and Entire Functions
3. Kahler-Einstein metrics on Fano manifolds, I: approximation of metrics with cone singularities
   2012/11/19 by Xiuxiong Chen, Simon Donaldson, Chen, Xiu-Xiong +3 · 13 citations
   Mathematics · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Meromorphic and Entire Functions
4. Kahler geometry on toric manifolds, and some other manifolds with large symmetry
   2008/03/06 by Simon Donaldson, Donaldson, S. K. · 10 citations
   Mathematics · #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
5. Kahler metrics with cone singularities along a divisor
   2011/02/06 by Simon Donaldson, Donaldson, Simon · 4 citations
   Mathematics · Physics and Astronomy · #32Q20 #Advanced Differential Geometry Research #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
6. Lower bounds on the Calabi functional
   2005/06/24 by Simon Donaldson, S. K. Donaldson, Donaldson, S. K. · 3 citations
   Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG
7. Two-forms on four-manifolds and elliptic equations
   2006/07/04 by Simon Donaldson, Donaldson, S. K. · 2 citations
   Computer Science · Mathematics · #58J60 #Advanced Mathematical Modeling in Engineering #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Symplectic Geometry (math.SG)
8. Volume estimates for Kähler-Einstein metrics: the three dimensional case
   2011/04/01 by X-X. Chen, Chen, X-X., Simon Donaldson +1 · 2 citations
   Mathematics · Physics and Astronomy · #32Q10 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
9. Calabi-Yau metrics on Kummer surfaces as a model glueing problem
   2010/07/23 by Simon Donaldson, Donaldson, simon · 1 citation
   Mathematics · #53C55 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds
10. Volume estimates for Kähler-Einstein metrics and rigidity of complex structures
    2011/04/21 by X-X. Chen, Chen, X-X., Simon Donaldson +1 · 1 citation
    Mathematics · Physics and Astronomy · #32Q10 #Advanced Differential Geometry Research #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
11. Extremal metrics on toric surfaces, I
    2006/12/05 by Simon Donaldson, Donaldson, S. K. · 2 citations
    Mathematics · Physics and Astronomy · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Nonlinear Waves and Solitons
12. Twistor construction of some multivalued harmonic functions on \bf R³
    2025/04/17 by Simon Donaldson, Donaldson, Simon · 1 citation
    Mathematics · #Nonlinear Partial Differential Equations #Analytic and geometric function theory #Holomorphic and Operator Theory