Differential and Riemannian geometry

Yasemin Yildirim - Constructing and classifying Legendrian doubles - IPAM at UCLA

Lec 37: Topological Dimension and Examples

Height Function Transformations of Minimal Surfaces by Sam K Mathew

Curvature Estimates for Minimal Surfaces Associated with Harmonic Mappings Having.. by Santana Majee

Formas Diferenciales y Curvatura (Efraín Vega Landa)

Differential Forms and Curvature (Efraín Vega Landa)

Maxim Kontsevich - Stability conditions in Fukaya categories: old and new ideas

Dr. Laura Monk | Counting geodesics on random Weil-Petersson surfaces

Computers, Geometry and Einstein - Jason Lotay

Geometric Structures and Higgs Bundles by Steve Bradlow

22 | Fundamental fields, generators of an action of G on M

20 | Killings for pseudo-Euclidean space, conformal Killings

19 | Isometries of Riemannian manifolds and Killing equations

18 | Tensor algebra, interpretation of commutator of vector fields

17 | Properties and computation of Lie derivative

16 | Induced metric, Lie transport, Lie derivative

15 | Pull-back and push forward operations

14 | Metric tensor, length of a curve, orthonormal (co)frame

13 | Integral curves, flow, tensor fields, gradient

12 | Vector at P on M, vector field

Prof. Leonid Polterovich | When Fokker–Planck Meets Contact Geometry in Thermodynamics

06 | Surfaces , curve and function , Lie group

Richard Schoen - Minimal Surfaces Defined by Extremal Eigenvalue Problems

05 | Manifolds and smooth maps , atlas for S^n and RP^n

Duong Phong - The Einstein Equation in Kähler Geometry

Prof. Mikhail Gromov | 100 Problems around Scalar Curvature

Prof. Laura Fredrickson | A construction of limiting solutions of Hitchin's equations

Prof. John Pardon | Existence of Lefschetz fibrations on Stein/Weinstein domains

Dr. Yann Ollivier | Discrete Ricci curvature with applications

Frédéric Naud - Problèmes ouverts et progrès récents en géométrie spectrale hyperbolique

Frédéric Naud - Open problems and recent progress in hyperbolic spectral geometry

Ángel Ferrández: “A la investigación básica no se le pueden poner puertas ni límites”

Ángel Ferrández: “Basic research cannot have doors or limits placed on it”

The Mathematics of Soap Bubbles by Franz Pedit

The existence of constrained Willmore surfaces in R^3 and R^4

But why is a sphere's surface area four times its shadow?

Using topology for discrete problems | The Borsuk-Ulam theorem and stolen necklaces