Manifolds | Differential topology

Double (manifold)

In the subject of manifold theory in mathematics, if is a manifold with boundary, its double is obtained by gluing two copies of together along their common boundary. Precisely, the double is where for all . Although the concept makes sense for any manifold, and even for some non-manifold sets such as the Alexander horned sphere, the notion of double tends to be used primarily in the context that is non-empty and is compact. (Wikipedia).

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14_9 The Volume between Two Functions

Calculating the volume of a shape using the double integral. In this example problem a part of the volume is below the XY plane.

From playlist Advanced Calculus / Multivariable Calculus

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14_1 The Double Integral

An introduction to the double integral. Whereas the single integral determines the area under a curve, the double integral of a two variable function determines the volume under a surface as marked out by a region on the XY plane.

From playlist Advanced Calculus / Multivariable Calculus

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Simple double integral

Download the free PDF http://tinyurl.com/EngMathYT This video shows how to integrate over rectangles. The ideas use double integrals and are seen in university mathematics.

From playlist Several Variable Calculus / Vector Calculus

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What is a Double Integral?

Have you ever wondered what a double integral is and what it has to do with cake? If so, watch this video and find out. Here I show step-by-step how to calculate a double integral, which is the multivariable calculus analog of an integral, enjoy! Double and Triple Integrals: https://www.y

From playlist Double and Triple Integrals

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John Pardon, Smoothing finite group actions on three-manifolds

2018 Clay Research Conference, CMI at 20

From playlist CMI at 20

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Smoothing finite group actions on three-manifolds – John Pardon – ICM2018

Topology Invited Lecture 6.13 Smoothing finite group actions on three-manifolds John Pardon Abstract: There exist continuous finite group actions on three-manifolds which are not smoothable, in the sense that they are not smooth with respect to any smooth structure. For example, Bing co

From playlist Topology

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Lagrangian Whitney sphere links - Ivan Smith

Princeton/IAS Symplectic Geometry Seminar Topic: Lagrangian Whitney sphere links Speaker: Ivan Smith Affiliation: University of Cambridge Date: Novmeber 1, 2016 For more video, visit http://video.ias.edu

From playlist Mathematics

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D. Tewodrose - Limits of Riemannian manifolds satisfying a uniform Kato condition

I will present a joint work with G. Carron and I. Mondello where we study Kato limit spaces. These are metric measure spaces obtained as Gromov-Hausdorff limits of smooth n-dimensional Riemannian manifolds with Ricci curvature satisfying a uniform Kato-type condition. In this context, stri

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

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D. Tewodrose - Limits of Riemannian manifolds satisfying a uniform Kato condition (vt)

I will present a joint work with G. Carron and I. Mondello where we study Kato limit spaces. These are metric measure spaces obtained as Gromov-Hausdorff limits of smooth n-dimensional Riemannian manifolds with Ricci curvature satisfying a uniform Kato-type condition. In this context, stri

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

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Introduction to legendrian contact homology using pseudo-holomoprhic... by Michael G Sullivan

J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru

From playlist J-Holomorphic Curves and Gromov-Witten Invariants

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Maggie Miller - The Price twist via trisections

June 20, 2018 - This talk was part of the 2018 RTG mini-conference Low-dimensional topology and its interactions with symplectic geometry The Price twist is a surgery operation on an RP^2 in a 4-manifold that may change the smooth structure of the 4-manifold. Akbulut showed that this ope

From playlist 2018 RTG mini-conference on low-dimensional topology and its interactions with symplectic geometry I

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Fernando Galaz Garcia: Three dimensional Alexandrov spaces with positive and non negative curvature

I will discuss the topological classification of closed three-dimensional Alexandrov spaces with positive or non-negative curvature, both in the Alexandrov and CD(K,N) sense. This is joint work with Luis Guijarro, Michael Munn and Qintao Deng. The lecture was held within the framework of

From playlist HIM Lectures: Follow-up Workshop to JTP "Optimal Transportation"

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Boundaries of Kleinian groups - Genevieve Walsh

Genevieve Walsh, Tufts October 7, 2015 http://www.math.ias.edu/wgso3m/agenda Monday, October 5, 2015 - 08:00 to Friday, October 9, 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 year at t

From playlist Workshop on Geometric Structures on 3-Manifolds

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Developments in 4-manifold topology arising from a theorem of Donaldson's - John Morgan [2017]

slides for this talk: https://drive.google.com/file/d/1_wHviPab9klzwE4UkCOvVecyopxDsZA3/view?usp=sharing Name: John Morgan Event: Workshop: Geometry of Manifolds Event URL: view webpage Title: Developments in 4-manifold topology arising from a theorem of Donaldson's Date: 2017-10-23 @9:3

From playlist Mathematics

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Tutorial - double integrals

Download the free PDF http://tinyurl.com/EngMathYT A tutorial on the basics of setting up and evaluating double integrals. We show how to sketch regions of integration, their description, and how to reverse the order of integration.

From playlist Several Variable Calculus / Vector Calculus

Related pages

Klein bottle | Compact space | Manifold | Homotopy sphere | Mazur manifold | Alexander horned sphere | Ball (mathematics) | Mathematics | Sphere | Möbius strip | Orientability | Cobordism | Connected sum