
TL;DR
This paper introduces various skew algebroids on twistor spaces and explores their associated foliations, laying groundwork for future research on bihermitian and generalized Kahler manifolds.
Contribution
It presents new skew algebroids on twistor spaces and connects them to the geometry of bihermitian manifolds, advancing the understanding of their structure.
Findings
Introduction of multiple skew algebroids on twistor spaces
Description of the foliations associated with these algebroids
Foundation for future results on bihermitian manifolds
Abstract
We introduce a plethora of skew algebroids on twistor spaces and describe the corresponding foliations. In a forthcoming paper, we use these algebroids to derive results about bihermitian manifolds, also known as generalized Kahler manifolds.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Geometry and complex manifolds
