4 citations · 8 across the 6 of their papers we have counts for
8 papers
Stability of piecewise flat Ricci flow
Rory Conboye
The stability of a recently developed piecewise flat Ricci flow is investigated, using a linear stability analysis and numerical simulations, and a class of piecewise flat approxim…
Piecewise flat approximations of local extrinsic curvature for non-Euclidean embeddings
Rory Conboye
Discrete forms of the mean and directed curvature are constructed on piecewise flat manifolds, providing local curvature approximations for smooth manifolds embedded in both Euclid…
Piecewise flat Ricci flow of compact without boundary three-manifolds
Rory Conboye
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 t…
Piecewise Flat Extrinsic Curvature
Rory Conboye
Discretizations of the mean curvature and extrinsic curvature components are constructed on piecewise flat simplicial manifolds, giving approximations for smooth curvature values i…
Piecewise Flat Curvature and Ricci Flow in Three Dimensions
Rory Conboye, Warner A. Miller
Discrete forms of the scalar, sectional and Ricci curvatures are constructed on simplicial piecewise flat triangulations of smooth manifolds, depending directly on the simplicial s…
Coordinate independent expression for transverse trace-free tensors
Rory Conboye
The transverse and trace-free (TT) part of the extrinsic curvature represents half of the dynamical degrees of freedom of the gravitational field in the formalism. As such,…