Communications in Mathematical Analysis
- Commun. Math. Anal.
- Volume 12, Number 2 (2012), 71-84.
Dolbeault Cohomology Along the Vertical Liouville Distribution on Complex Finsler Bundles
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.
Commun. Math. Anal., Volume 12, Number 2 (2012), 71-84.
First available in Project Euclid: 16 March 2012
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Ida, C. Dolbeault Cohomology Along the Vertical Liouville Distribution on Complex Finsler Bundles. Commun. Math. Anal. 12 (2012), no. 2, 71--84. https://projecteuclid.org/euclid.cma/1331929872