Search for dissertations about: "Differential geometry"

Showing result 1 - 5 of 117 swedish dissertations containing the words Differential geometry.

  2. 1. Geometry linking the art of building and the Universe: Geometric patterns on shells and grid shells

    Author : Emil Adiels; Chalmers tekniska högskola; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; HUMANIORA; HUMANITIES; HUMANIORA; HUMANITIES; NATURVETENSKAP; NATURAL SCIENCES; Form finding; Differential Geometry; Conceptual design; Geometry; Shell; Engineering; Masonry; Craftsmanship; Grid shell; Architecture; Structural design;

    Abstract : Geometry links the art of building and the physics of space-time. Mathematical breakthroughs in geometry have led to new ways of designing our structures and our ability to visualise and describe the world, phenomena in nature and the universe. 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. Permanental Point Processes on Real Tori

    Author : Jakob Hultgren; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Point Processes; Monge-Ampère equations; Affine Manifolds; Point Processes;

    Abstract : The main motivation for this thesis is to study real Monge-Ampère equations. These are fully nonlinear differential equations that arise in differential geometry. They lie at the heart of optimal transport and, as such, are related to probability theory, statistics, geometrical inequalities, fluid dynamics and diffusion equations. READ MORE

  6. 4. Formality and homotopy automorphisms in rational homotopy theory

    Author : Bashar Saleh; Alexander Berglund; Marco Manetti; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Rational homotopy theory; formality; homotopy automorphisms; Mathematics; matematik;

    Abstract : This licentiate thesis consists of two papers treating subjects in rational homotopy theory.In Paper I, we establish two formality conditions in characteristic zero. We prove that adg Lie algebra is formal if and only if its universal enveloping algebra is formal. READ MORE

  7. 5. Universal algebraic structures on polyvector fields

    Author : Johan Alm; Sergei Merkulov; Anton Alekseev; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; matematik;

    Abstract : The theory of operads is a conceptual framework that has become a kind of universal language, relating branches of topology and algebra. This thesis uses the operadic framework to study the derived algebraic properties of polyvector fields on manifolds.The thesis is divided into eight chapters. READ MORE