Search for dissertations about: "local geometry"

Showing result 1 - 5 of 218 swedish dissertations containing the words local geometry.

  2. 1. Local systems and vanishing of Maslov class

    Author : Axel Husin; Thomas Kragh; Jack Smith; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : Let L be a closed exact Lagrangian submanifold in the cotangent bundle T*X of a closed manifold X. We present partial results towards a new proof using Lagrangian intersection Floer theory that the Maslov class of L vanishes... READ MORE

  4. 2. Differential geometry and structural action of vaults and shells

    Author : Emil Adiels; Chalmers tekniska högskola; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; HUMANIORA; HUMANITIES; NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : Masonry vaults and bridges, concrete shells, and steel and timber grid shells are all examples of shell structures. Their beauty, spatial qualities, structural efficiency and manufacturing are closely tied to their geometry. READ MORE

  5. 3. 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

  6. 4. Topological and geometrical methods in data analysis

    Author : Oliver Gäfvert; Sandra di Rocco; Henry Schenck; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; multiparameter persistent homology; computational algebraic geometry; algorithms; complexity; Mathematics; Matematik;

    Abstract : This thesis concerns two related data analysis pipelines, using topological and geometrical methods respectively, to extract relevant information. The first pipeline, referred to as the topological data analysis (TDA) pipeline, constructs a filtered simplicial complex on a given data set in order to describe its shape. READ MORE

  7. 5. Tangential Derivations, Hilbert Series and Modules over Lie Algebroids

    Author : Yohannes Tadesse; Rolf Källström; Michael Granger; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Tangential Derivations; Monomials; Multiplier Ideals; Lie Algebroids; Hilbert series; Mathematics; matematik;

    Abstract : Let A/k be a local commutative algebra over a field k of characteristic 0, and T_{A/k} be the module of k-linear derivations on A. We study, in two papers, the set of k-linear derivations on A which are tangential to an ideal I of A (preserves I), defining an A-submodule T_{A/k}(I) of T_{A/k}, which moreover is a k-Lie subalgebra. READ MORE