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.
Citation
C. Ida. "Dolbeault Cohomology Along the Vertical Liouville Distribution on Complex Finsler Bundles." Commun. Math. Anal. 12 (2) 71 - 84, 2012.
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