Geometric Analysis : Classification Theory of Riemannian Submanifolds

    Project Details

    Description

    The general purpose of this project is to study the influence of curvature on the properties of solutions of certain partial differential equations whose leading symbol is the Laplacian or the p-Laplacian. One key instrument is the curvature controlled comparison of solutions in a given Riemannian (sub-)space with the corresponding solutions in a tailor made model space.
    StatusFinished
    Effective start/end date01/09/200701/09/2010

    Keywords

    • Submanifolds, extrinsic balls, radial convexity, radial tangency, mean exit time, isoperimetric inequalities, volume bounds, parabolicity