Generalized Geometry of 2D Incompressible Fluid Flows
Mathematical Physics
2023-05-08 v1 math.MP
Abstract
We describe a family of generalized almost structures associated with a Monge-Amp\`ere equation for a stream function of 2D incompressible fluid flows. Using an indefinite metric field constructed from a pair of -forms related to the Monge-Amp\`ere equation, we show the existence of generalized metric-compatible structures in our family of generalized structures. The integrability of isotropic structures on the level of Dirac structures and differential forms is discussed.
Keywords
Cite
@article{arxiv.2305.03580,
title = {Generalized Geometry of 2D Incompressible Fluid Flows},
author = {Radek Suchánek},
journal= {arXiv preprint arXiv:2305.03580},
year = {2023}
}