Generalized Donaldson's functionals and related nonlinear partial differential equations
Differential Geometry
2020-12-02 v1
Abstract
In this paper, we introduce a family of generalized Donaldson's functional on holomorphic vector bundles, whose Euler-Lagrange equations are a vector bundle version of the complex -Hessian equations. We also discuss the uniqueness of solutions to these equations.
Cite
@article{arxiv.2012.00306,
title = {Generalized Donaldson's functionals and related nonlinear partial differential equations},
author = {Chuanjing Zhang and Xi Zhang},
journal= {arXiv preprint arXiv:2012.00306},
year = {2020}
}