Sökning: "Kähler class"

Hittade 4 avhandlingar innehållade orden Kähler class.

  1. 1. 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

  3. 2. Tight maps, a classification

    Författare :Oskar Hamlet; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Tight maps; Tight homomorphisms; Maximal representations; Continuous bounded cohomology; Kähler class; Kähler class;

    Sammanfattning : .... LÄS MER

  4. 3. Real and complex Monge-Ampère equations, statistical mechanics and canonical metrics

    Författare :Jakob Hultgren; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Statistical Mechanics; Point Processes; Hessian manifolds; Kähler geometry; Optimal Transport; Canonical metrics; Complex Monge-Ampère equations; Real Monge-Ampère equations; Kähler-Einstein metrics; Statistical Mechanics;

    Sammanfattning : Recent decades has seen a strong trend in complex geometry to study canonical metrics and the way they relate to geometric analysis, algebraic geometry and probability theory. This thesis consists of four papers each contributing to this field. The first paper sets up a probabilistic framework for real Monge-Ampère equations on tori. LÄS MER

  5. 4. Tight maps, a classification

    Författare :Oskar Hamlet; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Tight maps; Tight homomorphisms; Maximal representations; Toledo invariant; Bounded Kähler class; Hermitian symmetric spaces; Bounded cohomology; Hermitian symmetric spaces;

    Sammanfattning : This thesis concerns the classification of tight totally geodesic maps between Hermitian symmetric spaces of noncompact type. In Paper I we classify holomorphic tight maps. We introduce a new criterion for tightness of Hermitian regular subalgebras. LÄS MER