On the geometric flows solving Kählerian inverse σ_k equations

2012/03/12 by Hao Fang, Mijia Lai, Fang, Hao +1
Mathematics · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.1203.2571

Abstract

In this note, we extend our previous work on the inverse σ_k problem. Inverse σ_k problem is a fully nonlinear geometric PDE on compact Kähler manifolds. Given a proper geometric condition, we prove that a large family of nonlinear geometric flows converges to the desired solution of the given PDE.

Citations

• About the Calabi problem: a finite dimensional approach
• Conformal geometry, contact geometry, and the calculus of variations

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