Holomorphic Jacobi Manifolds

Luca Vitagliano; Aïssa Wade

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arXiv · 1609.07737

Holomorphic Jacobi Manifolds

Luca Vitagliano·Aïssa Wade

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Abstract

In this paper, we develop holomorphic Jacobi structures. Holomorphic Jacobi manifolds are in one-to-one correspondence with certain homogeneous holomorphic Poisson manifolds. Furthermore, holomorphic Poisson manifolds can be looked at as special cases of holomorphic Jacobi manifolds. We show that holomorphic Jacobi structures yield a much richer framework than that of holomorphic Poisson structures. We also discuss the relationship between holomorphic Jacobi structures, generalized contact bundles and Jacobi-Nijenhuis structures.

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Luca Vitagliano, Aïssa Wade. 2016-09-25. Holomorphic Jacobi Manifolds. https://arxiv.org/abs/1609.07737

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