Sökning: "Ahmed Al-Shujary"

Hittade 2 avhandlingar innehållade orden Ahmed Al-Shujary.

1. 1. Kähler-Poisson Algebras

   Författare :Ahmed Al-Shujary; Joakim Arnlind; Milagros Izquierdo; Johan Öinert; Linköpings universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

   Sammanfattning : The focus of this thesis is to introduce the concept of Kähler-Poisson algebras as analogues of algebras of smooth functions on Kähler manifolds. We first give here a review of the geometry of Kähler manifolds and Lie-Rinehart algebras. After that we give the definition and basic properties of Kähler-Poisson algebras. LÄS MER

3. 2. Kähler-Poisson Algebras

   Författare :Ahmed Al-Shujary; Joakim Arnlind; Milagros Izquierdo; Sergei Silvestrov; Linköpings universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

   Sammanfattning : 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. LÄS MER