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    On the Stability of Certain Riemannian Functionals 

    Maity, Soma (2018-03-06)
    Given a compact smooth manifold Mn without boundary and n ≥ 3, the Lp-norm of the curvature tensor, defines a Riemannian functional on the space of Riemannian metrics with unit volume M1. Consider ...

    Relative Symplectic Caps, Fibered Knots And 4-Genus 

    Kulkarni, Dheeraj (2014-04-07)
    The 4-genus of a knot in S3 is an important measure of complexity, related to the unknotting number. A fundamental result used to study the 4-genus and related invariants of homology classes is the Thom conjecture, proved ...

    An Introduction to Minimal Surfaces 

    Ram Mohan, Devang S (2017-12-10)
    In the first chapter of this report, our aim is to introduce harmonic maps between Riemann surfaces using the Energy integral of a map. Once we have the desired prerequisites, we move on to show how to continuously deform ...

    Infinitely Divisible Metrics, Curvature Inequalities And Curvature Formulae 

    Keshari, Dinesh Kumar (2014-06-30)
    The curvature of a contraction T in the Cowen-Douglas class is bounded above by the curvature of the backward shift operator. However, in general, an operator satisfying the curvature inequality need not be contractive. ...

    Function Theory On Non-Compact Riemann Surfaces 

    Philip, Eliza (2014-06-30)
    The theory of Riemann surfaces is quite old, consequently it is well developed. Riemann surfaces originated in complex analysis as a means of dealing with the problem of multi-valued functions. Such multi-valued functions ...

    Ricci Flow And Isotropic Curvature 

    Gururaja, H A (2014-09-03)
    This thesis consists of two parts. In the first part, we study certain Ricci flow invariant nonnegative curvature conditions as given by B. Wilking. We begin by proving that any such nonnegative curvature implies nonnegative ...

    Numerical Study Of Regularization Methods For Elliptic Cauchy Problems 

    Gupta, Hari Shanker (2011-06-30)
    Cauchy problems for elliptic partial differential equations arise in many important applications, such as, cardiography, nondestructive testing, heat transfer, sonic boom produced by a maneuvering aerofoil, etc. Elliptic ...

    Riemann Roch Theorem For Algebraic Curves 

    Rajeev, B (2011-09-28)

    On an ODE Associated to the Ricci Flow 

    Bhattacharya, Atreyee (2018-04-18)
    We discuss two topics in this talk. First we study compact Ricci-flat four dimensional manifolds without boundary and obtain point wise restrictions on curvature( not involving global quantities such as volume and diameter) ...

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    AuthorBhattacharya, Atreyee (1)Gupta, Hari Shanker (1)Gururaja, H A (1)Keshari, Dinesh Kumar (1)Kulkarni, Dheeraj (1)Maity, Soma (1)Philip, Eliza (1)Rajeev, B (1)Ram Mohan, Devang S (1)Subject
    Geometry (9)
    Riemannian Manifolds (3)Curvature (2)Hilbert Space (2)Ricci Flow (2)Riemann Surfaces (2)Riemannian Metric (2)4-Genus Knots (1)Algebraic Curvature Operators (1)Algebraic Curves (1)... View MoreDate Issued2014 (4)2011 (2)2018 (2)2017 (1)Has File(s)Yes (9)

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