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Vector bundles on Sasakian manifolds. (English) Zbl 1214.53037
The authors investigated the analog of holomorphic vector bundles in the context of Sasakian manifolds, reflecting the rich theory of holomorphic vector bundles on Kähler manifolds, more precisely, the theory of moduli for stable Sasakian holomorphic vector bundles. They show the existence of the moduli space in the category of reduced complex spaces, and construct a Kähler structure on it.

MSC:
53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
32L05 Holomorphic bundles and generalizations
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