The Poisson equation and Hermitian-Einstein metrics on holomorphic vector bundles over complete noncompact kähler manifolds

Indiana University Mathematics Journal

Volumn 51, Issue 3, 2002, Pages 679-704

  Ni, Lew ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

Heat equation; Hermitian Einstein metrics; Poisson equation

Indexed keywords

EID: 0036056555     PISSN: 00222518     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (27)

1. Nonlinear analysis on manifold. Monge-Amperé equations
2. Ricci-flat Kähler metrics on affine algebraic manifolds II
3. Hermitian vector bundles and the equidistribution of the zero of their holomorphic sections
4. On Harnack's inequalities for the Kähler-Ricci flow
5. Heat kernel estimates and lower bounds of eigenvalues
6. On the existence of a complete Kähler manifolds and the regularity of Fefferman's equation
7. Explicit constants for Guassian upper-bounds on heat kernels
8. Anti self-dual Yang-Mills connections over complex algebraic surfaces and stable vector bundle
9. Boundary value problems for Yang-Mills fields
10. Gaussian upper bounds for the heat kernels on arbitrary manifolds
11. Asymptotically locally euclidean metrics with holonomy SU (m)
12. Large time behavior of the heat equation on complete Riemannian manifolds with nonnegative Ricci curvature
13. p and mean value properties of subharmonic functions on Riemannian manifolds
14. The heat equation and harmonic maps of complete manifolds
15. On the parabolic kernel of the Schrödinger operator
16. Continuity of solutions of parabolic and elliptic equations
17. Vanishing theorems on complete Kähler manifolds and their applications
18. Hermitian-Einstein metrics on vector bundles on complete Kähler manifolds
19. Poisson equation, Poincaré-Lelong equation and curvature decay on complete Kähler manifolds
20. Kähler-Ricci flow and the Poincaré-Lelong equation
21. Ricci deformation and the uniformization on complete Kindler manifolds
22. Complete Kähler manifolds with zero Ricci curvature. II
23. On the existence of Hermitian-Yang-Mills connections in stable vector bundles