Symplectic foliations induced by harmonic forms on 3-manifolds

2021/08/03 by Solha, Romero
#53D99 (Primary) 70G45 (Secondary) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2108.02012

Abstract

This article details a construction of symplectic foliations on 3-dimensional orientable riemannian manifolds from harmonic forms; and how it suggests a topological approach to Poisson's equation and newtonian gravity.

Related

• Foliations associated to regular Poisson structures
• Symplectic Geometry, Poisson Geometry, and Beyond
• Codimension one symplectic foliations
• Riemann Poisson manifolds and Kähler-Riemann foliations
• Foliations with geometric structures