Search for dissertations about: "Canonical metrics"

Found 4 swedish dissertations containing the words Canonical metrics.

  2. 1. Real and complex Monge-Ampère equations, statistical mechanics and canonical metrics

    Author : Jakob Hultgren; Göteborgs universitet; []
    Keywords : 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;

    Abstract : 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. READ MORE

  4. 2. Multipoint Okounkov bodies, strong topology of ω-plurisubharmonic functions and Kähler-Einstein metrics with prescribed singularities

    Author : Antonio Trusiani; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Okounkov bodies; Seshadri constant; Kähler-Einstein metrics; Kähler Geometry; Canonical metrics; Fano manifolds; Pluripotential theory; Complex Monge-Ampère equations; Kähler packing;

    Abstract : The most classical topic in Kähler Geometry is the study of Kähler-Einstein metrics as solution of complex Monge-Ampère equations. This thesis principally regards the investigation of a strong topology for ω-plurisubharmonic functions on a fixed compact Kähler manifold (X,ω), its connection with complex Monge-Ampère equations with prescribed singularities and the consequent study of singular Kähler-Einstein metrics. READ MORE

  5. 3. Pluripotential-theoretic methods in K-stability and the space of Kähler metrics

    Author : Mingchen Xia; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; quasi-plurisubharmonic functions; K-stability; cscK metrics;

    Abstract : It is a natural problem, dating back to Calabi, to find canonical metrics on complex manifolds. In the case of polarized compact Kähler manifolds, a natural candidate is a metric with constant scalar curvature (cscK metric). READ MORE

  6. 4. Constraints and symmetries in theories of interacting spin-2 fields

    Author : Anders Lundkvist; Fawad Hassan; Edvard Mörtsell; Antonio Padilla; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; modified gravity; bimetric theory; spin-2 fields; classical field theory; partially massless symmetry; teoretisk fysik; Theoretical Physics;

    Abstract : The Hassan-Rosen bimetric theory describes two interacting spin-2 fields, one massless and one massive. In this thesis, a complete canonical analysis of this theory is performed in the metric formulation and all constraints are computed. READ MORE