Differential geometry of surfaces
In differential geometry, constant-mean-curvature (CMC) surfaces are surfaces with constant mean curvature. This includes minimal surfaces as a subset, but typically they are treated as special case. Note that these surfaces are generally different from constant Gaussian curvature surfaces, with the important exception of the sphere. (Wikipedia).
This video defines a cylindrical surface and explains how to graph a cylindrical surface. http://mathispower4u.yolasite.com/
From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates
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
Geometric and algebraic aspects of space curves | Differential Geometry 20 | NJ Wildberger
A space curve has associated to it various interesting lines and planes at each point on it. The tangent vector determines a line, normal to that is the normal plane, while the span of adjacent normals (or equivalently the velocity and acceleration) is the osculating plane. In this lectur
From playlist Differential Geometry
Min-max construction for constant mean curvature surfaces - Xin Zhou
Short talks by postdoctoral members Topic: Min-max construction for constant mean curvature surfaces Speaker: Xin Zhou Affiliation: University of California, Santa Barbara; Member, School of Mathematics Date: September 25, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
Isoperimetry and boundaries with almost constant mean curvature - Francesco Maggi
Variational Methods in Geometry Seminar Topic: Isoperimetry and boundaries with almost constant mean curvature Speaker: Francesco Maggi Affiliation: The University of Texas at Austin; Member, School of Mathematics Date: February 12, 2019 For more video please visit http://video.ias.edu
From playlist Variational Methods in Geometry
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
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
Constant nonlocal mean curvatures surfaces and related problems – Mouhamed Fall – ICM2018
Analysis and Operator Algebras Invited Lecture 8.14 Constant nonlocal mean curvatures surfaces and related problems Mouhamed Fall Abstract: The notion of Nonlocal Mean Curvature (NMC) appears recently in the mathematics literature. It is an extrinsic geometric quantity that is invariant
From playlist Analysis & Operator Algebras
Liam Mazurowski - Recent developments in constant mean curvature hypersurfaces II
Continuing from the previous talk, we will first discuss two min-max theorems for constructing prescribed mean curvature hypersurfaces in non-compact spaces. The first concerns the existence of prescribed mean curvature hypersurfaces in Euclidean space, and the second concerns the existen
From playlist Not Only Scalar Curvature Seminar
New and old results in the classical theory of…surfaces in Euclidean 3-space R^3 - Bill Meeks
Members' Seminar Topic: New and old results in the classical theory of minimal and constant mean curvature surfaces in Euclidean 3-space R^3 Speaker: Bill Meeks Affiliation: University of Massachusetts Amherst Date: October 22, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
Xin Zhou - Recent developments in constant mean curvature hypersurfaces I
We will survey some recent existence theory of closed constant mean curvature hypersurfaces using the min-max method. We hope to discuss some old and new open problems on this topic as well. Xin Zhou (Cornell)
From playlist Not Only Scalar Curvature Seminar
Marston Morse - An Isoperimetric Concept for the Mass in General Relativity - Gerhard Huisken
Gerhard Huisken Max-Planck Institute for Gravitational Physics March 20, 2009 For more videos, visit http://video.ias.edu
From playlist Mathematics
Examples of curvatures of surfaces | Differential Geometry 30 | NJ Wildberger
We review the formulas for the curvature of a surface we derived/discussed in the last lecture, and then give explicit examples of how these formulas work out in special cases. The formulas were given in several roughly equivalent forms, applying to different situations. The first applied
From playlist Differential Geometry
Otis Chodosh - Global uniqueness of large stable CMC surfaces in asymptotically flat 3 manifolds
Otis Chodosh Global uniqueness of large stable CMC surfaces in asymptotically flat 3 manifolds I will discuss recent work with M. Eichmair in which we prove uniqueness of large stable constant mean curvature surfaces in asymptotically flat 3-manifolds.
From playlist Maryland Analysis and Geometry Atelier
Chao Li - Scalar curvature and the dihedral rigidity conjecture
In 2013, Gromov proposed a geometric comparison theorem for metrics with nonnegative scalar curvature, formulated in terms of the dihedral rigidity phenomenon for Riemannian polyhedrons. In this talk, I will discuss recent progress towards this conjecture, and its connection to other rigid
From playlist Not Only Scalar Curvature Seminar
New Methods in Finsler Geometry - 22 May 2018
http://www.crm.sns.it/event/415 Centro di Ricerca Matematica Ennio De Giorgi The workshop has limited funds to support lodging (and in very exceptional cases, travel) costs of some participants, with priority given to young researchers. When you register, you will have the possibility to
From playlist Centro di Ricerca Matematica Ennio De Giorgi
Recent advances in Geometric Analysis - 8 June 2018
http://crm.sns.it/event/435 Centro di Ricerca Matematica Ennio De Giorgi The aim of the workshop is to bring together experts working on different sides of Geometric Analysis: PDE aspects, minimal or constant mean curvature surfaces, geometric inequalities, applications to general relativ
From playlist Centro di Ricerca Matematica Ennio De Giorgi
6A Tangent normal coordinates on the blackboard part 1
Now that we know something about curvature, I show you the tangent normal coordinate system or body-coordinate system, using the tangent normal and principle normal unit vectors.
From playlist Life Science Math: Vectors