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
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
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
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
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
An introduction to curvature, the radius of curvature, and how you can think about each one geometrically.
From playlist Multivariable calculus
Bifurcating conformal metrics with constant Q-curvature - Renato Bettiol
More videos on http://video.ias.edu
From playlist Variational Methods in Geometry
RICCI FLOW -- On the scalar curvature blow up conjecture in Ricci flow -- Richard Bamler
Richard Bamler lecture on the scalar curvature blow up conjecture in Ricci flow. Richard Bamler is a world expert at the University of Berkeley on the Ricci flow, and was a former student of professor Gang Tian (like myself). Perelman used the Ricci flow to solve Thurston's geometrization
From playlist Research Lectures
Sun-Yung Alice Chang: Conformal Invariants and Differential Equations
This lecture was held at The University of Oslo, May 24, 2006 and was part of the Abel Prize Lectures in connection with the Abel Prize Week celebrations. Program for the Abel Lectures 2006 1. “A Scandinavian Chapter in Analysis” by Lennart Carleson, Kungliga Tekniska Högskolan, Swed
From playlist Abel Lectures
Metrics of constant Chern scalar curvature and a Chern-Calabi flow
Speaker: Sisi Shen (Northwestern) Abstract: We discuss the existence problem of constant Chern scalar curvature metrics on a compact complex manifold. We prove a priori estimates for these metrics conditional on an upper bound on the entropy, extending a recent result by Chen-Cheng in the
From playlist Informal Geometric Analysis Seminar
Gap and index estimates for Yang-Mills connections in 4-d - Matthew Gursky
Variational Methods in Geometry Seminar Topic: Gap and index estimates for Yang-Mills connections in 4-d Speaker: Matthew Gursky Affiliation: University of Notre Dame Date: March 19, 2019 For more video please visit http://video.ias.edu
From playlist Variational Methods in Geometry
Max Fathi: Ricci curvature and functional inequalities for interacting particle systems
I will present a few results on entropic Ricci curvature bounds, with applications to interacting particle systems. The notion was introduced by M. Erbar and J. Maas and independently by A. Mielke. These curvature bounds can be used to prove functional inequalities, such as spectral gap bo
From playlist HIM Lectures: Follow-up Workshop to JTP "Optimal Transportation"
Claude LeBrun - Yamabe invariants, Weyl curvature, and the differential topology of 4-manifolds
The behavior of the Yamabe invariant, as defined in Bernd Ammann’s previous lecture, differs strangely in dimension 4 from what is seen in any other dimension. These peculiarities not only manifest themselves in the context of the usual scalar curvature, but also occur in connection with
From playlist Not Only Scalar Curvature Seminar
Rudolf Zeidler: Scalar curvature comparison via the Dirac operator
Talk by Rudolf Zeidler in Global Noncommutative Geometry Seminar (Americas) http://www.math.wustl.edu/~xtang/NCG-Seminar.html on September 23, 2020.
From playlist Global Noncommutative Geometry Seminar (Americas)
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
Kaehler constant scalar curvature metrics on blow ups... - Claudio Arezzo
Workshop on Geometric Functionals: Analysis and Applications Topic: Kaehler constant scalar curvature metrics on blow ups and resolutions of singularities Speaker: Claudio Arezzo Affiliation: International Centre for Theoretical Physics, Trieste Date: March 4, 2019 For more video please
From playlist Mathematics
An example of computing curvature with the explicit formula.
From playlist Multivariable calculus