Volume 24, Issue 4, September 2017, Pages 596 - 619
Holomorphic last multipliers on complex manifolds
Authors
Mircea Crasmareanu
Faculty of Mathematics, University “Al. I. Cuza”, Iaşi, 700506, Bd. Carol I, no. 11, România.mcrasm@uaic.ro
Cristian Ida
Department of Mathematics and Computer Science, University Transilvania of Braşov, Braşov 500091, Str. Iuliu Maniu 50, România.cristian.ida@unitbv.ro
Paul Popescu*
Department of Applied Mathematics, University of Craiova, Craiova, 200585, Str. Al. Cuza, no 13, România.paul_p_popescu@yahoo.com
*Corresponding author.
Corresponding Author
Paul Popescu
Received 15 April 2017, Accepted 21 June 2017, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2017.1375694How to use a DOI?
- Keywords
- Last multiplier; complex manifold; holomorphic volume form; Poisson structure
- Abstract
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.
- Copyright
- © 2017 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC license.
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 -