Examples of 'ricci flow' in a sentence
Meaning of "ricci flow"
The Ricci flow is a mathematical concept in differential geometry. It is a process that deforms a given metric on a manifold in a way that can smooth out irregularities or singularities. It is named after the Italian mathematician Gregorio Ricci-Curbastro
Show more definitions
- A process that deforms the metric of a Riemannian manifold in a way formally analogous to the diffusion of heat, smoothing out irregularities in the metric.
How to use "ricci flow" in a sentence
Basic
Advanced
ricci flow
Ricci flow with surgery.
This procedure is known as Ricci flow with surgery.
The Ricci flow was only defined for smooth differentiable manifolds.
I discuss certain applications of the Ricci flow in physics.
Under Ricci flow manifolds with this geometry collapse to a point in finite time.
The central idea is the notion of the Ricci flow.
Under Ricci flow manifolds with Euclidean geometry remain invariant.
Kleiner has written expository papers on the Ricci flow.
The Ricci flow was defined by Richard Hamilton as a way to deform manifolds.
The first step is to deform the manifold using the Ricci flow.
Like the heat flow, Ricci flow tends towards uniform behavior.
Perelman proved this note goes up as the manifold is deformed by the Ricci flow.
Similarly, the Ricci flow describes the behavior of a tensorial quantity, the Ricci curvature tensor.
He later developed a program to prove the geometrization conjecture by Ricci flow with surgery.
Under normalized Ricci flow compact manifolds with this geometry converge ( rather slowly ) to R1.
See also
Such interesting questions arise in the solution of the Poincaré conjecture via Ricci flow.
Perelman 's proof uses a modified version of a Ricci flow program developed by Richard Hamilton.
Grigori Perelman derived analogous formulas for the Ricci flow.
Conversely, any metric unchanged by Ricci flow is Ricci-flat.
His original proof relied partly on Richard S. Hamilton 's work on the Ricci flow.
Zhang, Z., Compact blow-up limits of finite time singularities of Ricci flow are shrinking Ricci solitons.
Hyperbolishing surfaces with the Ricci flow.
Singularities of the Ricci flow.
Ricci calculus Ricci curvature Ricci flow.
Hamilton amplified their results, leading to the Li-Yau-Hamilton inequality for the Ricci flow equations.
Perelman proved the Poincare and geometrization conjectures in 2003 using Ricci flow with surgery.
You'll also be interested in:
Examples of using Ricci
Show more
Ricci himself is out looking for you
Frequently asked question ricci hotels cesenatico
Ricci says that he may have been poisoned
Examples of using Flow
Show more
I let the anger flow right through me
The flow of information is a two way street
Insufficient air flow through burn grate
