Mean curvature

The Curvature of a Circle

The Curvature of a Circle

From playlist Calculus 3

What is Curvature? Calculus 3

What is Curvature? Calculus 3

From playlist Calculus 3

5 Curvature

The all important concept of curvature. We look at two equations for curvature and introduce the radius of curvature.

From playlist Life Science Math: Vectors

Curvature and Radius of Curvature for a function of x.

This video explains how to determine curvature using short cut formula for a function of x.

From playlist Vector Valued Functions

Gauss Curvature

Reference: Differential Geometry by Do Carmo My first video! Thank you for coming and any suggestion is very welcomed! #some2

From playlist Summer of Math Exposition 2 videos

Calculus 3: Vector Calculus in 2D (35 of 39) What is the Sign of Curvature?

Visit http://ilectureonline.com for more math and science lectures! In this video I will show how to identify what is the sign of a curvature. For example, when the angle is getting bigger K is greater than 0, and when the angle is getting smaller K is less than 0. Next video in the seri

From playlist CALCULUS 3 CH 3 VECTOR CALCULUS

6C Second equation for curvature on the blackboard

In this lecture I show you a second equation for curvature.

From playlist Life Science Math: Vectors

Curvature and Radius of Curvature for 2D Vector Function

This video explains how to determine curvature using short cut formula for a vector function in 2D.

From playlist Vector Valued Functions

Curvature of a Riemannian Manifold | Riemannian Geometry

In this lecture, we define the exponential mapping, the Riemannian curvature tensor, Ricci curvature tensor, and scalar curvature. The focus is on an intuitive explanation of the curvature tensors. The curvature tensor of a Riemannian metric is a very large stumbling block for many student

From playlist All Videos

Lecture 17: Discrete Curvature II (Discrete Differential Geometry)

Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz0hIrNCMQW1YmZysAiIYSSS For more information see http://geometry.cs.cmu.edu/ddg

From playlist Discrete Differential Geometry - CMU 15-458/858

Lecture 15: Curvature of Surfaces (Discrete Differential Geometry)

Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz0hIrNCMQW1YmZysAiIYSSS For more information see http://geometry.cs.cmu.edu/ddg

From playlist Discrete Differential Geometry - CMU 15-458/858

Lecture 16: Discrete Curvature I (Discrete Differential Geometry)

Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz0hIrNCMQW1YmZysAiIYSSS For more information see http://geometry.cs.cmu.edu/ddg

From playlist Discrete Differential Geometry - CMU 15-458/858

Tensor Calculus Lecture 14f: Principal Curvatures

This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: http://bit.ly/MCTensors Table of Contents of http://bit.ly/ITCYTNew Rules of the Game Coordinate Systems and the Role of Te

From playlist Introduction to Tensor Calculus

Yuguang Shi - Quasi-local mass and geometry of scalar curvature

Quasi-local mass is a basic notion in General Relativity. Geometrically, it can be regarded as a geometric quantity of a boundary of a 3-dimensional compact Riemannian manifold. Usually, it is in terms of area and mean curvature of the boundary. It is interesting to see that some of quasi

From playlist Not Only Scalar Curvature Seminar

Bobo Hua (7/27/22): Curvature conditions on graphs

Abstract: We will introduce various curvature notions on graphs, including combinatorial curvature for planar graphs, Bakry-Emery curvature, and Ollivier curvature. Under curvature conditions, we prove some analytic and geometric results for graphs with nonnegative curvature. This is based

From playlist Applied Geometry for Data Sciences 2022

Progress in the theory of CMC surfaces in locally homgeneous 3-manifolds X - William Meeks

Workshop on Mean Curvature and Regularity Topic: Progress in the theory of CMC surfaces in locally homgeneous 3-manifolds X Speaker: William Meeks Affiliation: University of Massachusetts; Member, School of Mathematics Date: November 9, 2018 For more video please visit http://video.ias.e

From playlist Workshop on Mean Curvature and Regularity

Rudolf Zeidler - Scalar and mean curvature comparison via the Dirac operator

I will explain a spinorial approach towards a comparison and rigidity principle involving scalar and mean curvature for certain warped products over intervals. This is motivated by recent scalar curvature comparison questions of Gromov, in particular distance estimates under lower scalar c

From playlist Talks of Mathematics Münster's reseachers

P. Burkhardt-Pointwise lower scalar curvature bounds for C0 metrics via regularizing Ricci flow (vt)

We propose a class of local definitions of weak lower scalar curvature bounds that is well defined for C0 metrics. We show the following: that our definitions are stable under greater-than-second-order perturbation of the metric, that there exists a reasonable notion of a Ricci flow starti

From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics

Connections part 4: Two incarnations of curvature and the de Rham complex

From playlist Connections, Curvature and Covariant Derivatives

P. Burkhardt-Pointwise lower scalar curvature bounds for C0 metrics via regularizing Ricci flow

We propose a class of local definitions of weak lower scalar curvature bounds that is well defined for C0 metrics. We show the following: that our definitions are stable under greater-than-second-order perturbation of the metric, that there exists a reasonable notion of a Ricci flow starti

From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics