• 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...
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  • Thumbnail for Ricci flow
    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
  • Thumbnail for Curve-shortening flow
    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
  • Thumbnail for Richard S. Hamilton
    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
  • Thumbnail for Willmore energy
    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...
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  • 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
  • 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
  • Thumbnail for Geometrization conjecture
    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
  • Thumbnail for Geometric analysis
    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
  • Thumbnail for Grigori Perelman
    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
  • Thumbnail for Pattern
    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...
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  • 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
  • Thumbnail for Eugenio Calabi
    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
  • 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
  • Thumbnail for Computer-aided 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
  • Thumbnail for Sacred geometry
    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