Horizontal Forms of Chern Type on Complex Finsler Bundles

TL;DR

This paper introduces a method to construct horizontal Chern forms on complex Finsler bundles and explores their properties, contributing to the understanding of complex Finsler geometry.

Contribution

It presents a novel approach to defining horizontal Chern forms in the context of complex Finsler structures on holomorphic vector bundles.

Findings

Properties of the constructed Chern forms are analyzed.

The approach extends classical Chern form theory to complex Finsler bundles.

Abstract

The aim of this paper is to construct horizontal Chern forms of a holomorphic vector bundle using complex Finsler structures. Also, some properties of these forms are studied.