differential geometry, a geometric flow, also called a geometric evolution equation, is a type of partial differential equation for a geometric object such as a...
4 KB (539 words) - 01:41, 30 September 2024
geometry and geometric analysis, the Ricci flow (/ˈriːtʃi/ REE-chee, Italian: [ˈrittʃi]), sometimes also referred to as Hamilton's Ricci flow, is a certain...
57 KB (8,360 words) - 05:52, 30 June 2025
mathematical fields of differential geometry and geometric analysis, the Gauss curvature flow is a geometric flow for oriented hypersurfaces of Riemannian manifolds...
8 KB (1,076 words) - 17:40, 29 January 2024
curvature. The curve-shortening flow is an example of a geometric flow, and is the one-dimensional case of the mean curvature flow. Other names for the same...
75 KB (9,389 words) - 10:32, 27 May 2025
of differential geometry in mathematics, mean curvature flow is an example of a geometric flow of hypersurfaces in a Riemannian manifold (for example,...
12 KB (2,021 words) - 05:29, 1 April 2025
Extrinsic Geometric Flows is an advanced mathematics textbook that overviews geometric flows, mathematical problems in which a curve or surface moves continuously...
8 KB (1,004 words) - 14:01, 30 January 2025
Richard S. Hamilton (section Harmonic map heat flow)
geometric analysis and partial differential equations, and particularly for developing the theory of Ricci flow. Hamilton introduced the Ricci flow in...
37 KB (3,515 words) - 23:35, 22 June 2025
mathematical fields of differential geometry and geometric analysis, the Calabi flow is a geometric flow which deforms a Kähler metric on a complex manifold...
2 KB (318 words) - 16:28, 5 August 2023
Willmore energy (redirect from Willmore flow)
surfaces. The Willmore flow is the geometric flow corresponding to the Willmore energy; it is an L 2 {\displaystyle L^{2}} -gradient flow. e [ M ] = 1 2 ∫ M...
5 KB (761 words) - 15:01, 23 April 2025
mathematical fields of differential geometry and geometric analysis, inverse mean curvature flow (IMCF) is a geometric flow of submanifolds of a Riemannian or pseudo-Riemannian...
8 KB (1,113 words) - 22:57, 11 April 2025
flow is an intrinsic geometric flow—a process which deforms the metric of a Riemannian manifold. First introduced by Richard S. Hamilton, Yamabe flow...
2 KB (309 words) - 16:02, 17 February 2025
Poincaré conjecture (redirect from Ricci flow with surgery)
the field of geometric topology during the 20th century. The eventual proof built upon Richard S. Hamilton's program of using the Ricci flow to solve the...
44 KB (5,324 words) - 23:02, 21 July 2025
Geometrization conjecture (redirect from Geometric manifold)
not necessarily the one produced by Ricci flow; in fact, the Ricci flow can cut up a manifold into geometric pieces in many inequivalent ways, depending...
32 KB (4,060 words) - 14:43, 12 January 2025
partial list of major topics within geometric analysis: Gauge theory Harmonic maps Kähler–Einstein metrics Mean curvature flow Minimal submanifolds Positive...
4 KB (473 words) - 01:07, 7 December 2024
a numerical method that preserves of geometric properties of the exact flow of a differential equation. Geometric integral; several related multiplicative...
491 bytes (76 words) - 06:40, 28 September 2016
and his revolutionary insights into the analytical and geometric structure of the Ricci flow", but he declined the award, stating: "I'm not interested...
65 KB (6,319 words) - 07:21, 26 July 2025
differential equations, a geometric integrator is a numerical method that preserves geometric properties of the exact flow of a differential equation...
7 KB (1,143 words) - 04:16, 25 November 2024
Pattern (redirect from Geometric pattern)
of a pattern repeat in a predictable manner. A geometric pattern is a kind of pattern formed of geometric shapes and typically repeated like a wallpaper...
26 KB (2,649 words) - 12:18, 18 July 2025
mathematician whose research concerns differential geometry, and in particular geometric flow and its associated partial differential equations. She is an associate...
2 KB (218 words) - 20:19, 7 April 2025
Rutgers University, specializing in partial differential equations and geometric flow. Šešum earned her PhD in 2004 from the Massachusetts Institute of Technology...
3 KB (176 words) - 13:37, 1 August 2025
In mathematical physics, geometric quantization is a mathematical approach to defining a quantum theory corresponding to a given classical theory. It...
12 KB (1,641 words) - 23:11, 17 July 2025
A geometric network is an object commonly used in geographic information systems to model a series of interconnected features. A geometric network is similar...
3 KB (420 words) - 22:08, 18 February 2021
Eugenio Calabi (section Geometric analysis)
research since the 1980s. In 1982, Calabi introduced a geometric flow, now known as the Calabi flow, as a proposal for finding Kähler metrics of constant...
30 KB (2,564 words) - 21:52, 14 June 2025
known for contributions to geometric analysis, with a majority of his work being in the field of extrinsic geometric flows. He received his Ph.D. from...
4 KB (264 words) - 13:49, 11 December 2023
Tech University. Her research focuses on the curvature of surfaces, geometric flow, the geometry of timelike surfaces, and the uses of differential geometry...
4 KB (365 words) - 22:22, 1 July 2025
Huai-Dong Cao (section Kähler-Ricci flow)
He is known for his research contributions to the Ricci flow, a topic in the field of geometric analysis. Cao received his B.A. from Tsinghua University...
13 KB (1,737 words) - 03:09, 26 May 2025
introduced by Richard Hamilton in his work on the Ricci flow. It has since been applied to other geometric flows as well as to other systems such as the Navier–Stokes...
4 KB (358 words) - 08:09, 18 November 2024
mentorship of Latino students Ling Xiao, differential geometer and expert on geometric flow Dianna Xu, American mathematician and computer scientist who studies...
197 KB (23,431 words) - 17:09, 3 August 2025
Computer-aided design (redirect from Computer-aided geometric design)
differential geometry. The design of geometric models for object shapes, in particular, is occasionally called computer-aided geometric design (CAGD). Computer-aided...
22 KB (2,657 words) - 02:52, 17 July 2025
geometry ascribes symbolic and sacred meanings to certain geometric shapes and certain geometric proportions. It is associated with the belief of a divine...
20 KB (2,351 words) - 22:20, 25 July 2025