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Piecewise flat Ricci flow of compact without boundary three-manifolds by Conboye, Rory is a scholarly article available to read on EtoBox.

What is Piecewise flat Ricci flow of compact without boundary three-manifolds about?

Using a recently developed piecewise flat method, numerical evolutions of the Ricci flow are computed for a number of manifolds, using a number of different mesh types, and shown to converge to the expected smooth behaviour as the mesh resolution is increased. The manifolds were chosen to have varying degrees of homogeneity, and include Nil and Gowdy manifolds, a three-torus initially embedded in Euclidean four-space, and a perturbation of a flat three-torus. The piecewise flat Ricci flow of the first two are shown to converge to known smooth Ricci flow solutions, with the remaining two flowing asymptotically to flat metrics.

Author

Conboye, Rory

Published

2018

Language

EN