Holomorphic last multipliers on complex manifolds
- 10.1080/14029251.2017.1375694How to use a DOI?
- Last multiplier; complex manifold; holomorphic volume form; Poisson structure
The goal of this paper is to study the theory of last multipliers in the framework of complex manifolds with a fixed holomorphic volume form. The motivation of our study is based on the equivalence between a holomorphic ODE system and an associated real ODE system and we are interested how we can relate holomorphic last multipliers with real last multipliers. Also, we consider some applications of our study for holomorphic gradient vector fields on holomorphic Riemannain manifolds as well as for holomorphic Hamiltonian vector fields and holomorphic Poisson bivector fields on holomorphic Poisson manifolds.
- © 2017 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
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Cite this article
TY - JOUR AU - Mircea Crasmareanu AU - Cristian Ida AU - Paul Popescu PY - 2021 DA - 2021/01/06 TI - Holomorphic last multipliers on complex manifolds JO - Journal of Nonlinear Mathematical Physics SP - 596 EP - 619 VL - 24 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2017.1375694 DO - 10.1080/14029251.2017.1375694 ID - Crasmareanu2021 ER -