On an ODE Associated to the Ricci Flow

On an ODE Associated to the Ricci Flow

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) which force the metric to be flat. We obtain the same conclusion for compact...

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Bibliographic Details
Main Author: Bhattacharya, Atreyee
Other Authors: Seshadri, Harish
Language:en_US
Published: 2018
Subjects:
Riemannian Manifolds
Curvature
Ricci Flow
Ricci-Flat 4-Manifolds
Algebraic Curvature Operators
Vector Fields
Ricci-Flat Kahler Surfaces
Riemannian Curvature Operator
Kahler Manifolds
Ordinary Differential Equations
Differential Geometry
Integral Curves
Geometry
Online Access:http://etd.iisc.ernet.in/2005/3427
http://etd.iisc.ernet.in/abstracts/4294/G25939-Abs.pdf

Internet

http://etd.iisc.ernet.in/2005/3427
http://etd.iisc.ernet.in/abstracts/4294/G25939-Abs.pdf

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