Minimal surfaces

Bour's minimal surface

In mathematics, Bour's minimal surface is a two-dimensional minimal surface, embedded with self-crossings into three-dimensional Euclidean space. It is named after Edmond Bour, whose work on minimal surfaces won him the 1861 mathematics prize of the French Academy of Sciences. (Wikipedia).

Bour's minimal surface
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L. Mazet - Minimal hypersurfaces of least area

In this talk, I will present a joint work with H. Rosenberg where we give a characterization of the minimal hypersurface of least area in any Riemannian manifold. As a consequence, we give a lower bound for the area of a minimal surface in a hyperbolic 3-manifold.

From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie

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Complex surfaces 2: Minimal surfaces

This talk is part of a series about complex surfaces, and explains what minimal surfaces are. A minimial surfaces is one that cannot be obtained by blowing up a nonsingular surfaces at a point. We explain why every surface is birational to a minimal nonsingular projective surface. We disc

From playlist Algebraic geometry: extra topics

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Irène Waldspurger: Rank optimality for the Burer-Monteiro factorization

The Burer-Monteiro factorization is a classical heuristic used to speed up the solving of large scale semidefinite programs when the solution is expected to be low rank: One writes the solution as the product of thinner matrices, and optimizes over the (low-dimensional) factors instead of

From playlist Control Theory and Optimization

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Group actions on 1-manifolds: A list of very concrete open questions – Andrés Navas – ICM2018

Dynamical Systems and Ordinary Differential Equations Invited Lecture 9.8 Group actions on 1-manifolds: A list of very concrete open questions Andrés Navas Abstract: Over the last four decades, group actions on manifolds have deserved much attention by people coming from different fields

From playlist Dynamical Systems and ODE

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L. Mazet - Some aspects of minimal surface theory (Part 1)

In a Riemannian 3-manifold, minimal surfaces are critical points of the area functional and can be a useful tool to understand the geometry and the topology of the ambient manifold. The aim of these lectures is to give some basic definitions about minimal surface theory and present some re

From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie

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How To Build Deep Learning Model Using word2vec For Natural Language Processing | Introduction | #AI

Don’t forget to subscribe! In this project series, you will learn how to build a deep learning model using word2vec for natural language. This series will cover all the important steps that you need to learn to build a deep learning model. Session 01: https://www.youtube.com/watch

From playlist Build Deep Learning Model Using word2vec For Natural Language Processing

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Bourbaki - 29/03/14 - 3/4 - Olivier BENOIST

Construction de courbes sur les surfaces K3

From playlist Bourbaki - 29 mars 2014

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Bourbaki - 24/01/15 - 1/4 - David HARARI

Zéro-cycles et points rationnels sur les fibrations en variétés rationnellement connexes [d'après Harpaz et Wittenberg]

From playlist Bourbaki - 24 janvier 2015

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L. Mazet - Some aspects of minimal surface theory (Part 4)

In a Riemannian 3-manifold, minimal surfaces are critical points of the area functional and can be a useful tool to understand the geometry and the topology of the ambient manifold. The aim of these lectures is to give some basic definitions about minimal surface theory and present some re

From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie

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L. Mazet - Some aspects of minimal surface theory (Part 2)

In a Riemannian 3-manifold, minimal surfaces are critical points of the area functional and can be a useful tool to understand the geometry and the topology of the ambient manifold. The aim of these lectures is to give some basic definitions about minimal surface theory and present some re

From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie

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L. Mazet - Some aspects of minimal surface theory (Part 3)

In a Riemannian 3-manifold, minimal surfaces are critical points of the area functional and can be a useful tool to understand the geometry and the topology of the ambient manifold. The aim of these lectures is to give some basic definitions about minimal surface theory and present some re

From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie

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Zero mean curvature surfaces in Euclidean and Lorentz-Minkowski....(Lecture 1) by Shoichi Fujimori

Discussion Meeting Discussion meeting on zero mean curvature surfaces (ONLINE) Organizers: C. S. Aravinda and Rukmini Dey Date: 07 July 2020 to 15 July 2020 Venue: Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conduct

From playlist Discussion Meeting on Zero Mean Curvature Surfaces (Online)

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Minimal Surfaces—The Shapes That Help Us Understand Black Holes

In this video I talk about minimal surfaces and how you can do your own experiment to prove if something is a minimal surface. I talk about why minimal surfaces are important in math and physics and show you some neat experiments to make several minimal surfaces at home The STL file for t

From playlist Amazing 3D Printed Objects

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J. Fine - Knots, minimal surfaces and J-holomorphic curves

I will describe work in progress, parts of which are joint with Marcelo Alves. Let L be a knot or link in the 3-sphere. I will explain how one can count minimal surfaces in hyperbolic 4-space which have ideal boundary equal to L, and in this way obtain a knot invariant. In other words the

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

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J. Fine - Knots, minimal surfaces and J-holomorphic curves (version temporaire)

I will describe work in progress, parts of which are joint with Marcelo Alves. Let L be a knot or link in the 3-sphere. I will explain how one can count minimal surfaces in hyperbolic 4-space which have ideal boundary equal to L, and in this way obtain a knot invariant. In other words the

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

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Introduction to Minimal surfaces by Rukmini Dey

SUMMER SCHOOL FOR WOMEN IN MATHEMATICS AND STATISTICS POPULAR TALKS (TITLE AND ABSTRACT) June 22, Wednesday, 15:45 - 16:45 hrs Rukmini Dey (ICTS, India) Title: Introduction to Minimal surfaces Abstract: In this talk I will introduce zero mean curvature surfaces, called minimal surface

From playlist Summer School for Women in Mathematics and Statistics - 2022

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Existence of infinitely many minimal hypersurfaces in closed manifolds - Antoine Song

Variational Methods in Geometry Seminar Topic: Existence of infinitely many minimal hypersurfaces in closed manifolds Speaker: Antoine Song Affiliation: Princeton University Date: October 23, 2018 For more video please visit http://video.ias.edu

From playlist Variational Methods in Geometry

Related pages

Minimal surface | Developable surface | Surface of revolution | Complex number | Weierstrass–Enneper parameterization | Parametric equation | Euclidean space