## Communications in Mathematical Analysis

### Dolbeault Cohomology Along the Vertical Liouville Distribution on Complex Finsler Bundles

C. Ida

#### Abstract

In this paper we define a vertical Liouville distribution in the vertical foliated distribution on a complex Finsler bundle and we prove that it is an integrable one. Next, some new operators on foliated forms along the vertical Liouville distribution are defined, a Dolbeault type lemma is proved and new cohomology groups are studied.

#### Article information

Source
Commun. Math. Anal., Volume 12, Number 2 (2012), 71-84.

Dates
First available in Project Euclid: 16 March 2012