Sökning: "holomorphic maps"

Hittade 5 avhandlingar innehållade orden holomorphic maps.

  1. 1. Holomorphic embeddings and applications

    Författare :Sam Lodin; Frank Kutzschebauch; Jörgen Boo; Frank Wikström; Mittuniversitetet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; Anders´en-Lempert-theory; holomorphic embeddings; Eisenman hyperbolicity; holomorphic group actions; plurisubharmonic extension; analytic polyhedron; MATHEMATICS; MATEMATIK;

    Sammanfattning : In the first part of this thesis we consider the question of the number of equivalenceclasses of holomorphic embeddings of Ck into Cn. We show the existence of holomorphicfamilies of proper holomorphic embeddings of Ck into Cn (0 < k < n−1),such that members of the family are pairwise nonequivalent in a suitable sense. LÄS MER

  2. 2. Tight maps, a classification

    Författare :Oskar Hamlet; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
    Nyckelord :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

  3. 3. Conformal Maps, Bergman Spaces, and Random Growth Models

    Författare :Alan Sola; Haakan Hedenmalm; Robert Berman; KTH; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; Conformal maps; Bergman kernels; planar growth models; MATHEMATICS; MATEMATIK;

    Sammanfattning : This thesis consists of an introduction and five research papers on topics related to conformal mapping, the Loewner equation and its applications, and Bergman-type spaces of holomorphic functions. The first two papers are devoted to the study of integral means of derivatives of conformal mappings. LÄS MER

  4. 4. Harmonic morphisms, Hermitian structures and symmetric spaces

    Författare :Martin Svensson; Matematik (naturvetenskapliga fakulteten); []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; isotropic subbundles; conformal foliations; holomorphic maps; harmonic morphism;

    Sammanfattning : A harmonic morphism is a map between two Riemannian manifolds with the property that its composition with a local harmonic function on the codomain is a local harmonic function on the domain. Such a map is automatically a harmonic map, satisfying an additional partial conformality condition called horizontal (weak) conformality. LÄS MER

  5. 5. Quaternionic Transgression in Hyperkähler Geometry

    Författare :Alexei Kotov; Edwin Langmann; Uppsala universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; 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