ACTA UNIVERSITATIS APULENSIS No 18/2009 ON VECTOR-BUNDLE VALUED COHOMOLOGY ON COMPLEX FINSLER MANIFOLDS
نویسنده
چکیده
In this paper we define a complex adapted connection of type Bott on vertical bundle of a complex Finsler manifold. When this connection is flat we get a vertical vector valued cohomology. The notions are introduced by analogy with the real case for foliations. Finally, using the partial Bott connection we give a characterization of strongly Kähler-Finsler manifolds. 2000 Mathematics Subject Classification: 53B40, 32C35.
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