Sökning: "holomorphic vector bundles"

Hittade 2 avhandlingar innehållade orden holomorphic vector bundles.

1. 1. Positive vector bundles in complex and convex geometry

   Författare :Hossein Raufi; Göteborgs universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Nakano positivity; vanishing theorems; Prekopa theorem; Griffiths positivity; convex geometry; Ohsawa-Takegoshi extension theorem; dbar-equation; L^2-estimates; singular hermitian metrics; holomorphic vector bundles; holomorphic vector bundles; dbar-equation; L^2-estimates; singular hermitian metrics; Griffiths positivity; Nakano positivity; vanishing theorems; Ohsawa-Takegoshi extension theorem; convex geometry; Prekopa theorem;

   Sammanfattning : This thesis concerns various aspects of the geometry of holomorphic vector bundles and their analytical theory which all, vaguely speaking, are related to the notion of positive curvature in general, and L^2-methods for the dbar-equation in particular. The thesis contains four papers. LÄS MER

3. 2. Quaternionic Transgression in Hyperkähler Geometry

   Författare :Alexei Kotov; Edwin Langmann; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Theoretical physics; Hyperkähler manifold; Hyperholomorphic bundle; Superconnection; Local index theorem; Chiral determinant; Transgression; Teoretisk fysik; Physics; Fysik; Theoretical Physics; teoretisk fysik;

   Sammanfattning : It is known, that hyperkähler varieties being a special case of Riemann and Kähler manifolds, admit more symmetries. For this reason, all important structures possibly admit hyperkähler generalization. Some of these generalizations make a theme of this thesis. LÄS MER