Riemannian geometry | Conjectures

Space form

In mathematics, a space form is a complete Riemannian manifold M of constant sectional curvature K. The three most fundamental examples are Euclidean n-space, the n-dimensional sphere, and hyperbolic space, although a space form need not be simply connected. (Wikipedia).

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What is space?

What exactly is space? Brian Greene explains what the "stuff" around us is. Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https:

From playlist Science Unplugged: Physics

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Teach Astronomy - The Shape of Space

http://www.teachastronomy.com/ According to the theory of general relativity, the universe and the space we live in may actually have a shape, and the shape need not be the flat infinite space described by Euclidean geometry. Infinite space will be flat, but curved space could be finite o

From playlist 22. The Big Bang, Inflation, and General Cosmology

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What is spacetime?

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From playlist Science Unplugged: Special Relativity

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Astronomy - Ch. 31: What is Space Made of? (6 of 15) Einstein Quotes & Other Thoughts

Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn some of Michel van Biezen, Einstein, and other thoughts of What is Space Made of? Next video in this series can be see

From playlist ASTRONOMY 31 WHAT IS SPACE MADE OF?

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What Is Nothing?

Is there any place in the Universe where there's truly nothing? Consider the gaps between stars and galaxies? Or the gaps between atoms? What are the properties of nothing?

From playlist Guide to Space

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Why is Everything Spherical?

Have you ever noticed that everything in space is a sphere? The Sun, the Earth, the Moon and the other planets and their moons... all spheres. Except for the stuff which isn't spheres. What's going on?

From playlist Guide to Space

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What Is A Dyson Sphere?

A Dyson Sphere is a megastructure that could be built around a star to harness all the solar energy it gives off. In this video we talk about the different kinds of Dyson Spheres, Dyson Clouds and other megastructures that could be built - and how we might even detect them from Earth. ht

From playlist Guide to Space

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Dimensions (1 of 3: The Traditional Definition - Directions)

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From playlist Exploring Mathematics: Fractals

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Weil-Petersson currents by Georg Schumacher

DISCUSSION MEETING ANALYTIC AND ALGEBRAIC GEOMETRY DATE:19 March 2018 to 24 March 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore. Complex analytic geometry is a very broad area of mathematics straddling differential geometry, algebraic geometry and analysis. Much of the interactions be

From playlist Analytic and Algebraic Geometry-2018

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What is a Tensor? Lesson 23: Operations on p-forms. The Exterior Algebra.

What is a Tensor? Lesson 23: Operations on p-forms. The Exterior Algebra.

From playlist What is a Tensor?

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What is a Tensor? Lesson 26: P-vectors and P-forms Recap

What is a Tensor? Lesson 26: P-vectors and P-forms Recap I'm struggling with this complex topic. I don't like any of the other lessons on p-forms so I am going to keep trying till I get it right. This little "recap" re-does a few topics and introduces the idea of p-vectors.

From playlist What is a Tensor?

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Maxwell's Equations via Differential Forms Part 2

In this lesson we review the Hodge star operator and the concept of the Hodge dual of a vector. We present and demonstrate a specific formula that calculates the Hodge dual of any k-form. The purpose of this is to set ourselves up to cast Maxwell's Equations in the language of differential

From playlist QED- Prerequisite Topics

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Asymptotics of number fields - Manjul Bhargava [2011]

Asymptotics of number fields Introductory Workshop: Arithmetic Statistics January 31, 2011 - February 04, 2011 January 31, 2011 (11:40 AM PST - 12:40 PM PST) Speaker(s): Manjul Bhargava (Princeton University) Location: MSRI: Simons Auditorium http://www.msri.org/workshops/566

From playlist Number Theory

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What is a Tensor? Lesson 36: Other Notions of Duality

What is a Tensor? Lesson 36: Other Notions of Duality

From playlist What is a Tensor?

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Maxwell's Equations via Differential Forms Part I

This lesson is NOT prerequisite for a course in QED. The lesson does a fast review the elementary processes and notation of differential forms in preparation for a third way to express Maxwell's equations. Viewers are expected to have already been exposed to the topic of differential forms

From playlist QED- Prerequisite Topics

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What is a Tensor? Lesson 22: Invitation to p-forms

What is a Tensor? Lesson 22: Invitation to p-forms We introduce the idea of forms with a literal presentation: forms are antisymmetric tensors.

From playlist What is a Tensor?

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Maxwell's Equations Via Differential Forms 5 (Final)

This is the last lecture regarding the compression of Maxwells' Equations from the classic presentation in standard vector calculus to the language of differential forms. By the end of this lecture we will find Maxwell's equations inside the two elegant equations dF = 0 and *d*F = J. Here

From playlist QED- Prerequisite Topics

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Volumes of Prisms & Cylinders

More resources available at www.misterwootube.com

From playlist Applications of Measurement

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CTNT 2022 - Definite orthogonal modular forms in rank 4 (by Eran Assaf)

This video is one of the special guess talks or conference talks that took place during CTNT 2022, the Connecticut Summer School and Conference in Number Theory. Note: not every special guest lecture or conference lecture was recorded. More about CTNT: https://ctnt-summer.math.uconn.edu/

From playlist CTNT 2022 - Conference lectures and special guest lectures

Related pages

Fuchsian group | Hyperbolic space | Fundamental group | Killing–Hopf theorem | Kleinian group | Constant curvature | Sectional curvature | Mathematics | Borel conjecture | Simply connected space | Riemannian manifold | Isometry | Euclidean space | Discrete space | N-sphere | Group (mathematics)