A Gauss-Bonnet-Chern theorem for complex Finsler manifolds
Wei Zhao
TL;DR
This paper extends the classical Gauss-Bonnet-Chern theorem to the setting of closed complex Finsler manifolds, providing a new geometric and topological link in this broader context.
Contribution
It introduces a Gauss-Bonnet-Chern theorem specifically for general closed complex Finsler manifolds, expanding the scope of classical differential geometry.
Findings
Established a Gauss-Bonnet-Chern formula for complex Finsler manifolds
Connected topological invariants with geometric structures in Finsler geometry
Extended classical theorems to a more general complex Finsler setting
Abstract
In this paper, we establish a Gauss-Bonnet-Chern theorem for general closed complex Finsler manifolds.
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