2 papers
math.DG2025
Lie Algebras of vector fields on convenient manifolds
Arnold Neumaier, Phillip Josef Bachler
We discuss various old and new definitions of the notion of a vector field on a convenient manifold that can be proved to give rise to Lie algebras, and are in finite dimensions eq…
math-ph2025
Coherent manifolds
Arnold Neumaier, Phillip Josef Bachler, Arash Ghaani Farashahi
This paper defines coherent manifolds and discusses their properties and their application in quantum mechanics. Every coherent manifold with a large group of symmetries gives rise…