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- Title
A Matrix Li–Yau–Hamilton Estimate for the Green Function on Kähler Manifolds.
- Authors
Park, Jiewon
- Abstract
We prove a matrix Li–Yau–Hamilton inequality for the Green function on complete Kähler manifolds with nonnegative holomorphic bisectional curvature. This estimate is an elliptic analogue of the matrix estimate of Cao and Ni for the heat equation on Kähler manifolds. It is also the complex counterpart of the matrix estimate on Riemannian manifolds obtained previously by the author.
- Subjects
RIEMANNIAN manifolds; COMPLEX matrices; KAHLERIAN manifolds; MATRIX inequalities; HEAT equation; CURVATURE
- Publication
IMRN: International Mathematics Research Notices, 2024, Vol 2024, Issue 10, p8230
- ISSN
1073-7928
- Publication type
Article
- DOI
10.1093/imrn/rnad199