Differential geometry

Warped geometry

In mathematics and physics, in particular differential geometry and general relativity, a warped geometry is a Riemannian or Lorentzian manifold whose metric tensor can be written in form The geometry almost decomposes into a Cartesian product of the y geometry and the x geometry – except that the x part is warped, i.e. it is rescaled by a scalar function of the other coordinates y. For this reason, the metric of a warped geometry is often called a warped product metric. Warped geometries are useful in that separation of variables can be used when solving partial differential equations over them. (Wikipedia).

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If Corresponding Angles are Congruent, then...?

Link: https://www.geogebra.org/m/hb3xXZeF

From playlist Geometry: Dynamic Interactives!

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How to EASILY ROTATE OBJECTS AROUND POINTS in GeoGebra

GeoGebra makes it SUPER EASY for students to explore rotations about points in the coordinate plane. Here's a quick demo. https://www.geogebra.org/m/gpwa3xtb

From playlist Geometry: Dynamic Interactives!

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Introduction to Projective Geometry (Part 1)

The first video in a series on projective geometry. We discuss the motivation for studying projective planes, and list the axioms of affine planes.

From playlist Introduction to Projective Geometry

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Link: https://www.geogebra.org/m/ATnqfej6

From playlist Geometry: Dynamic Interactives!

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Link: https://www.geogebra.org/m/uj4qqmkZ

From playlist Geometry: Dynamic Interactives!

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Cyclic Quadrilateral: Proof Hint!

Link: https://www.geogebra.org/m/KYdypjws

From playlist Geometry: Dynamic Interactives!

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Hyperbola 3D Animation | Objective conic hyperbola | Digital Learning

Hyperbola 3D Animation In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, that are mirror images of each other an

From playlist Maths Topics

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The NEW Warp Drive Possibilities

PBS Member Stations rely on viewers like you. To support your local station, go to: http://to.pbs.org/DonateSPACE ↓ More info below ↓ Sign Up on Patreon to get access to the Space Time Discord! https://www.patreon.com/pbsspacetime That Einstein guy was a real bummer for our hopes of a st

From playlist The Real Science of Warp Drives, Wormoholes and Faster Than Light (FTL) Travel

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Sci-Vis on the Web using VTK.js

Presented by Bill Sherman. 2018-2019 Scientific Visualization Workshop at Indiana University. Filmed Nov 28, 2018. This workshop series highlights a variety of topics related to scientific visualization. Principles of perception, along with techniques and tools for creating visualizati

From playlist Scientific Visualization Workshop Series

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Thomas Weighill - Coarse homotopy groups of warped cones

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From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021

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How Einstein Uncovered the Path a Particle Traces Through Spacetime!

In Einstein's theory of gravity, general relativity, massive objects like stars warp the geometry of spacetime. Then a particle travels along the straightest and shortest path that it can through spacetime, called a geodesic. Get the notes for free here: https://courses.physicswithelliot.c

From playlist Lagrangian Mechanics Sequence

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Mechanisms for Inflation, part 3 - Eva Silverstein

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From playlist PiTP 2011

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Einstein's General Relativity, from 1905 to 2005 - Kip Thorne - 11/16/2005

"Einstein's General Relativity, from 1905 to 2005: Warped Spacetime, Black Holes, Gravitational Waves, and the Accelerating Universe," was presented as part of the Einstein Centennial Lecture Series and Earnest C. Watson Lecture Series at Caltech. Professor Thorne was introduced by Tom Tom

From playlist Research & Science

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I made this video when I thought I had made a model of the Klein Quartic. But it is wrong, so please ignore it. You can find a corrected version here: https://www.youtube.com/watch?v=ADtwLnxLPTI

From playlist Geometry

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The Universe Unravelled - Kip S. Thorne

Speaker : Kip S. Thorne Date and Time : 13 Dec 11, 14:00 Venue : Homi Bhabha Auditorium, TIFR, Mumbai What are we? Where do we come from? Where are we going? In the language of physics, these become: What is the structure of matter? How did the Universe evolve? How will it evolve in the f

From playlist Public Lectures

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AMMI Course "Geometric Deep Learning" - Lecture 11 (Sequences & Time Warping) - Petar Veličković

Video recording of the course "Geometric Deep Learning" taught in the African Master in Machine Intelligence in July-August 2021 by Michael Bronstein (Imperial College/Twitter), Joan Bruna (NYU), Taco Cohen (Quallcom), and Petar Veličković (DeepMind) Lecture 11: Static and dynamic domains

From playlist AMMI Geometric Deep Learning Course - First Edition (2021)

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Alcubierre warp drive - faster than light travel? Is Warp speed possible? Enterprise from Star Trek can go 9000 times the speed of light. By comparison, the fastest manmade object, the Juno probe goes 0.0002 times the speed of light. At this rate, it would take 20,000 years to reach the ne

From playlist Story of Universe (animated)

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Kip Thorne - Why Black Holes Are Astonishing

For more on information and video interviews with Kip Thorne, please visit http://bit.ly/1DpWJQU For more videos on why black holes are astonishing click here http://bit.ly/1FimsZi To buy episodes and seasons of Closer To Truth click here http://bit.ly/1LUPlQS Black holes warp space and

From playlist Closer To Truth - Kip Thorne Interviews

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Arcs Formed by Parallel Chords - Geometry

This video focuses on how to find the measure of arcs formed by parallel chords. In particular, this video reviews the concept that arcs intercepted by parallel chords are congruent. Your feedback and requests are encouraged and appreciated. Thank you all for watching and please subscribe

From playlist Geometry

Related pages

Friedmann–Lemaître–Robertson–Walker metric | Metric tensor | Exact solutions in general relativity | Einstein field equations | Mathematics | Differential geometry | Separation of variables | Poincaré half-plane model | String theory | Riemannian manifold | Partial differential equation | Cartesian product