Holomorphic Jacobi manifolds

Luca Vitagliano, Aïssa Wade

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

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.

Original languageEnglish (US)
Article number2050024
JournalInternational Journal of Mathematics
Volume31
Issue number3
DOIs
StatePublished - Mar 1 2020

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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