Curved space

Curved (Warped) Spacetime

An explanation of curved spacetime, and how the effect of gravity is simply an object travelling in a straight line in curved space.

From playlist Special and General Relativity

Intro to General Relativity Learning Playlist

In this course, we'll take you step-by-step to an intuitive understanding of the ideas behind Einstein's theory of general relativity.

From playlist Curved Spacetime in General Relativity

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

No Edge 2: The Shape of the Universe (Curved Space)

´¯`·.¸¸.·´¯`·.¸ Tweet it: http://clicktotweet.com/M9Qwa ¸.·´¯`·.¸¸.·´¯` This is the second part of a three-part miniseries on the shape of the universe. Could the universe be curved? What is curvature, anyway? What is the cosmological principle? And is the universe maybe some sort of hyp

From playlist Flat Universe and Topology Playlist

Could Flatland Be CURVED?!

Measuring the curvature of a space takes parallel transport and the Riemann curvature tensor (General Relativity). Let's explore this using Flatland and Lineland, an old tool involving lower-dimensional spaces. Brilliant for 20% off: http://brilliant.org/ScienceAsylum _____________________

From playlist Gravity as Spacetime Curvature

Beauty of Geodesics

Straight Lines in Curved Space explained and visualized. Useful for the four dimensional space-time of Einstein’s General Relativity. My Patreon page is at https://www.patreon.com/EugeneK

From playlist Physics

Perpendicular Lines, Slope, Rays, and Segments | Geometry

This geometry video tutorial provides a basic introduction into perpendicular lines, slope, rays, line segments and right angles. Perpendicular lines have slopes that are negative reciprocals of each other. Perpendicular Lines, Rays, and Line Segments intersect each other at right angles

From playlist Geometry Video Playlist

Can a Circle Be a Straight Line?

Want to ask some sort of crazy question about Space?: Tweet at us! @pbsspacetime Facebook: facebook.com/pbsspacetime Email us! pbsspacetime [at] gmail [dot] com Comment on Reddit: http://www.reddit.com/r/pbsspacetime Support us on Patreon! http://www.patreon.com/pbsspacetime Help translat

From playlist Space Time!

Curved Coordinate Systems

A description of curved coordinate systems, including cylindrical and spherical coordinates, and their unit vectors.

From playlist Phys 331 Uploads

Recursive combinatorial aspects of compactified moduli spaces – Lucia Caporaso – ICM2018

Algebraic and Complex Geometry Invited Lecture 4.3 Recursive combinatorial aspects of compactified moduli spaces Lucia Caporaso Abstract: In recent years an interesting connection has been established between some moduli spaces of algebro-geometric objects (e.g. algebraic stable curves)

From playlist Algebraic & Complex Geometry

What is a Tensor? Lesson 21: The Lie derivative

What is a Tensor? Lesson 21: The Lie derivative We reconstruct the notion of a vector space at a point in spacetime using the more fundamental exposition of tangent vectors to curves. Then we define a congruence of curves associated with a vector field and then we define the Lie derivativ

From playlist What is a Tensor?

Hilbert's Curve: Is infinite math useful?

Space-filling curves, and the connection between infinite and finite math. Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Home page: https://www.3blue1brown.com Supplement with more space-filling cu

From playlist Explainers

Advanced General Relativity: A Centennial Tribute to Amal Kumar Raychaudhuri (L4) by Sunil Mukhi

Seminar Lecture Series - Advanced General Relativity: A Centennial Tribute to Amal Kumar Raychaudhuri Speaker: Sunil Mukhi (IISER Pune) Date : Mon, 20 March 2023 to Fri, 21 April 2023 Venue: Online (Zoom & Youtube) ICTS is pleased to announce special lecture series by Prof. Sunil Mukh

From playlist Lecture Series- Advanced General Relativity: A Centennial Tribute to Amal Kumar Raychaudhuri -2023

A Parametric Geometry Treatment of Two Acceleration Fields

Galileo discovered properties of Earths Uniform Acceleration Field about the same time Johann Kepler uncovered the problematic fit of circles with observed period curve of Mars. Circular orbit curves for Subscript[M, 2] cannot accommodate period curves of Subscript[M, 2]. The difficulty of

From playlist Wolfram Technology Conference 2021

Kenneth Ascher: What is a moduli space?

Abstract: Moduli spaces are geometric spaces which parametrize equivalence classes of algebraic varieties. I will discuss the moduli space of algebraic curves equivalently Riemann surfaces) of genus g, and use this example to motivate some interesting questions in higher dimensions. Biogr

From playlist What is...? Seminars

Alice Le Brigant : Information geometry and shape analysis for radar signal processing

Recording during the thematic meeting : "Geometrical and Topological Structures of Information" the August 31, 2017 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent

From playlist Geometry

Einstein's General Theory of Relativity | Lecture 6

Lecture 6 of Leonard Susskind's Modern Physics concentrating on General Relativity. Recorded October 27, 2008 at Stanford University. This Stanford Continuing Studies course is the fourth of a six-quarter sequence of classes exploring the essential theoretical foundations of modern phys

From playlist Lecture Collection | Modern Physics: Einstein's Theory

What is a Manifold? Lesson 18: Homotopy

What is a Manifold? Lesson 18: Introduction to Homotopy

From playlist What is a Manifold?

Let s vary

From playlist Drawing a sphere

Moduli Space of Curves by Chitrabhanu Chaudhuri

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