Vector bundles on Sasakian manifolds
Indranil Biswas, Georg Schumacher
TL;DR
This paper explores the concept of holomorphic vector bundles within Sasakian manifolds, extending complex geometric ideas to a broader class of geometric structures.
Contribution
It introduces the notion of holomorphic vector bundles in Sasakian geometry, providing a new framework for studying complex-like structures on these manifolds.
Findings
Established a definition of holomorphic vector bundles on Sasakian manifolds
Connected Sasakian geometry with complex vector bundle theory
Provided foundational results for future research in Sasakian holomorphic structures
Abstract
We investigate the analog of holomorphic vector bundles in the context of Sasakian manifolds.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Homotopy and Cohomology in Algebraic Topology