VERTICAL CHERN TYPE CLASSES ON COMPLEX FINSLER BUNDLES

被引：1

作者：

Ida, Cristian ^{[1
]}

机构：

[1] Univ Transilvania Brasov, Dept Algebra Geometry & Differential Equat, Brasov 500091, Romania

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA | 2011年 / 57卷 / 02期

关键词：

complex Finsler bundles; Chern-Finsler connection; v-cohomology classes;

D O I：

10.2478/v10157-011-0033-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we define vertical Chern type classes on complex Finsler bundles, as an extension of the v-cohomology groups theory on complex Fins ler manifolds. These classes are introduced in a classical way by using closed differential forms with respect; to the conjugated vertical differential in terms of the vertical curvature form of Chern-Finsler linear connection. Also, some invariance properties of these classes are studied.

引用

页码：377 / 386

页数：10

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