Browsing Mathematics (MA) by Subject "Riemannian Manifolds"

Now showing items 1-3 of 3

    • 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) ...

    • 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 ...

    • 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 ...