Vanishing Theorems on Holomorphic Lie Algebroids

  • Alexandru IonescuEmail author


The paper describes a Bochner-type study for holomorphic horizontal vector fields defined on a holomorphic Finsler algebroid E. We obtain in this setting a vanishing theorem for horizontal fields with compact support on E.


Holomorphic Lie algebroid Laplacian for functions Bochner technique Vanishing theorem Prolongation 

Mathematics Subject Classification

Primary 17B66 53B40 Secondary 53B35 



The author would like to thank the anonymous referee for the suggestions and comments that helped him improve this article.


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Authors and Affiliations

  1. 1.Faculty of Mathematics and Computer ScienceTransilvania University of BraşovBraşovRomania

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