Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 6 (2010), 054, 7 pages      arXiv:1007.1511     https://doi.org/10.3842/SIGMA.2010.054

Horizontal Forms of Chern Type on Complex Finsler Bundles

Cristian Ida
Department of Algebra, Geometry and Differential Equations, Transilvania University of Braşov, Str. Iuliu Maniu 50, Braşov 500091, România

Received October 28, 2009, in final form June 30, 2010; Published online July 09, 2010

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.

Key words: complex Finsler bundles; horizontal forms of Chern type.

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