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Showing 1 to 6 of 6 for “"Geometric Flows"”.

  1. Intrinsic Geometric Flows on Manifolds of Revolution

    An intrinsic geometric flow is an evolution of a Riemannian metric by a two-tensor. An extrinsic geometric flow is an evolution of an immersion of a manifold into Euclidean space. An extrinsic flow induces an evolution of a metric because any immersed manifold inherits a Riemannian metric from …

    arizona-thes Repository record for Intrinsic Geometric Flows on Manifolds of Revolution (opens in a new tab)

  2. Limiting Properties of Certain Geometric Flows in Complex Geometry

    … study convergence results of certain non-linear geometric flows on vector bundles over complex manifolds. First we consider the case of a semi-stable vector bundle E over a compact Kahler manifold X of arbitrary dimension. We show that in this case Donaldson's functional is bounded from below. …

    columbia-diss Repository record for Limiting Properties of Certain Geometric Flows in Complex Geometry (opens in a new tab)

  3. Ambient Obstruction Solitons And Homogeneous Gradient Bach Solitons

    … metrics is called Riemannian geometry. Using geometric flows associated with tensors, we are able to analyze the relationship between metrics and curvature. Examining solitons, specifically gradient solitons, is one way we investigate this relationship. </p><p>This thesis focuses on the …

    syracuse-diss Repository record for Ambient Obstruction Solitons And Homogeneous Gradient Bach Solitons (opens in a new tab)

  4. Ambient Obstruction Solitons and Homogeneous Gradient Bach Solitons

    … metrics is called Riemannian geometry. Using geometric flows associated with tensors, we are able to analyze the relationship between metrics and curvature. Examining solitons, specifically gradient solitons, is one way we investigate this relationship. </p><p>This thesis focuses on the …

    syracuse-diss Repository record for Ambient Obstruction Solitons and Homogeneous Gradient Bach Solitons (opens in a new tab)

  5. A Mass Minimizing Flow for Real-Valued Flat Chains with Applications to Transport Networks

    An oriented transportation network can be modeled by a 1-dimensional chain whose boundary is the difference between the demand and supply distributions, represented by weighted sums of point masses. To accommodate efficiencies of scale into the model, one uses a suitable Mα norm for transportation …

    rice Repository record for A Mass Minimizing Flow for Real-Valued Flat Chains with Applications to Transport Networks (opens in a new tab)