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Kähler-Poisson Algebras
[book]

2020
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Linköping studies in science and technology, Dissertations
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unpublished

In this thesis, we introduce Kähler-Poisson algebras and study their basic properties. The motivation comes from differential geometry, where one can show that the Riemannian geometry of an almost Kähler manifold can be formulated in terms of the Poisson algebra of smooth functions on the manifold. It turns out that one can identify an algebraic condition in the Poisson algebra (together with a metric) implying that most geometric objects can be given a purely algebraic formulation. This leads

doi:10.3384/diss.diva-163164
fatcat:xe5s7r7p4refjgx4kjusgb64vm