论文标题
广义唐纳森的功能和相关的非线性偏微分方程
Generalized Donaldson's functionals and related nonlinear partial differential equations
论文作者
论文摘要
在本文中，我们介绍了唐纳森（Donaldson）在Holomorphic vector Bundles上的功能，其Euler-Lagrange方程是复杂的$ K $ -Hessian方程的矢量捆绑版。我们还讨论了这些方程式解决方案的唯一性。
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 $k$-Hessian equations. We also discuss the uniqueness of solutions to these equations.
