Differential geometry of surfaces

Wente torus

In differential geometry, a Wente torus is an immersed torus in of constant mean curvature, discovered by Henry C. Wente. It is a counterexample to the conjecture of Heinz Hopf that every closed, compact, constant-mean-curvature surface is a sphere (though this is true if the surface is embedded). There are similar examples known for every positive genus. (Wikipedia).

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Torus Magic

Buy at http://www.shapeways.com/shops/GeometricToy Torus Magic is a transformable torus. This torus object is constructed with many rings,and transforms flat,spherical etc. Also you can turn inside out the torus. Copyright (c) 2014,AkiraNishihara

From playlist 3D printed toys

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Two way necklace.torus toy

necklace,two way,Torus by Villarceau circles,mobius ball

From playlist Handmade geometric toys

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Torus Magic 2

The torus magic is constructed with many rings. It transforms flat,spherical,etc. Farther more you can turn it inside out.

From playlist Handmade geometric toys

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Torus Magic with Ring 1

Buy at http://www.shapeways.com/shops/GeometricToy "Torus Magic" can eat another torus.This torus object is constructed with 30 large rings(70mm diameter) and many small rings. Copyright (c) 2015,AkiraNishihara

From playlist 3D printed toys

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Torus Magic with Ring 2

Buy at http://www.shapeways.com/shops/GeometricToy "Torus Magic" can eat another torus.This torus object is constructed with 30 large rings(70mm diameter) and many small rings. Copyright (c) 2015,AkiraNishihara

From playlist 3D printed toys

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Torus Magic (50mm)

Buy at http://www.shapeways.com/shops/GeometricToy Torus Magic is a transformable torus. This torus object is constructed with 20 large rings(50mm diameter) and many small rings.It transforms flat,spherical etc. Also you can turn inside out the torus. Copyright (c) 2015,AkiraNishihara

From playlist 3D printed toys

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Torus Autologlyph

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/KiL

From playlist 3D printing

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Two fractals walk into a rodent...

Two fractals walk into a rodent... Two fractal layers. One generated in Mandelbulber, one in HitFilm. Smash them together Nerdy Rodent style, and what do you get? #Fractal #Maths #Art

From playlist AI Animations

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The Poincaré Conjecture (special lecture) John W. Morgan [ICM 2006]

slides for this talk: https://www.mathunion.org/fileadmin/IMU/Videos/ICM2006/tars/morgan2006.pdf The Poincaré Conjecture (special lecture) John W. Morgan Columbia University, USA https://www.mathunion.org/icm/icm-videos/icm-2006-videos-madrid-spain/icm-madrid-videos-24082006

From playlist Mathematics

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Parahoric Subgroups and Supercuspidal Representations of p-Adic groups - Dick Gross

Dick Gross Harvard University December 9, 2010 This is a report on some joint work with Mark Reeder and Jiu-Kang Yu. I will review the theory of parahoric subgroups and consider the induced representation of a one-dimensional character of the pro-unipotent radical. A surprising fact is th

From playlist Mathematics

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Rob Kusner: Willmore stability and conformal rigidity of minimal surfaces in S^n

A minimal surface M in the round sphere S^n is critical for area, as well as for the Willmore bending energy W=∫∫(1+H^2)da. Willmore stability of M is equivalent to a gap between −2 and 0 in its area-Jacobi operator spectrum. We show the W-stability of M persists in all higher dimensional

From playlist Geometry

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Topology, Geometry and Life in Three Dimensions - with Caroline Series

If you imagine a three dimensional maze from which there is no escape, how can you map it? Is there a way to describe what all possible mazes look like, and how do mathematicians set about investigating them? Subscribe for regular science videos: http://bit.ly/RiSubscRibe Caroline Series

From playlist Mathematics

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CAT(0) cube complexes and group theory (Lecture - 1) by Michah Sageev

Geometry, Groups and Dynamics (GGD) - 2017 DATE: 06 November 2017 to 24 November 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru The program focuses on geometry, dynamical systems and group actions. Topics are chosen to cover the modern aspects of these areas in which research has b

From playlist Geometry, Groups and Dynamics (GGD) - 2017

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Topology of a Twisted Torus - Numberphile

Featuring Professor Carlo Séquin - see more from him at: http://bit.ly/carlosequin More links & stuff in full description below ↓↓↓ More on this topic soon... Animation by Pete McPartlan: http://bit.ly/PeteMcPartlan Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE

From playlist Carlo Séquin on Numberphile

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Gluing a Torus

Gluing is a good method to construct new topological spaces from known ones. Here a rectangles is glued along the edges to form a torus. Often the fundamental group of the glued object can be calculated from the pieces (here a rectangles) and the glue (here two intersecting circles). Th

From playlist Algebraic Topology

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Congruence Subgroup Problem by M. S. Raghunathan

PROGRAM SMOOTH AND HOMOGENEOUS DYNAMICS ORGANIZERS: Anish Ghosh, Stefano Luzzatto and Marcelo Viana DATE: 23 September 2019 to 04 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Ergodic theory has its origins in the the work of L. Boltzmann on the kinetic theory of gases.

From playlist Smooth And Homogeneous Dynamics

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Taut co-oriented foliations - Rachel Roberts

Rachel Roberts, WUSTL Workshop on Flows, Foliations and Contact Structures 2015-2016 Monday, December 7, 2015 - 08:00 to Friday, December 11, 2015 - 12:00 This workshop is part of the topical program "Geometric Structures on 3-Manifolds" which will take place during the 2015-2016 academic

From playlist Workshop on Flows, Foliations and Contact Structures

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AlgTop17: Classification of combinatorial surfaces I

This lecture introduces the central theorem in Algebraic Topology: the classification of two dimensional combinatorial surfaces. We use cut and paste operations to reduce any combinatorial surface into a standard form, and also introduce an algebraic expression to encode this standard form

From playlist Algebraic Topology: a beginner's course - N J Wildberger

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How to make mathematical candy by Jean-Luc Thiffeault

ORGANIZERS: Amit Apte, Soumitro Banerjee, Pranay Goel, Partha Guha, Neelima Gupte, Govindan Rangarajan and Somdatta Sinha DATES: Monday 23 May, 2016 - Saturday 23 Jul, 2016 VENUE: Madhava Lecture Hall, ICTS, Bangalore This program is first-of-its-kind in India with a specific focus to p

From playlist Summer Research Program on Dynamics of Complex Systems

Related pages

Compact space | Constant-mean-curvature surface | Differential geometry | Heinz Hopf | Sphere | Embedding | Genus (mathematics) | Mean curvature | Torus | Closed manifold | Immersion (mathematics)