Showing math.DGShow all
3 papers · 1 filter
math.DG2025
Metric degeneracies and gradient flows on symplectic leaves
Zohreh Ravanpak, Cornelia Vizman
For a Poisson manifold endowed with a pseudo-Riemannian metric, we investigate degeneracies arising when the metric is restricted to symplectic leaves. Central to this work is the…
math.DG2025
Generalized double bracket vector fields
Petre Birtea, Zohreh Ravanpak, Cornelia Vizman
We generalize double bracket vector fields, originally defined on semisimple Lie algebras, to Poisson manifolds equipped with a pseudo-Riemannian metric by utilizing a symmetric co…
math.DG2024
NL bialgebras
Zohreh Ravanpak
In this paper, we introduce the concept of (weak) NL bialgebras. These structures consist of a Lie bialgebra $(\g,[\cdot,\cdot],δ)$ equipped with a Nijenhuis structure on the Lie…