Riemannian geometry | Manifolds | Differential geometry | Geodesic (mathematics)
In mathematics, a complete manifold (or geodesically complete manifold) M is a (pseudo-) Riemannian manifold for which, starting at any point p, you can follow a "straight" line indefinitely along any direction. More formally, the exponential map at point p, is defined on TpM, the entire tangent space at p. Equivalently, consider a maximal geodesic . Here is an open interval of , and, because geodesics are parameterized with "constant speed", it is uniquely defined up to transversality. Because is maximal, maps the ends of to points of ∂M, and the length of measures the distance between those points. A manifold is geodesically complete if for any such geodesic , we have that . (Wikipedia).
Introducing the Concept of Congruence
From playlist GeoGebra Geometry
Intersection of Planes on Geogebra
In this video, we look at a strategy for finding the intersection of planes on Geogebra.
From playlist Geogebra
Area of a Rhombus: Without Words
GeoGebra Resource Link: https://www.geogebra.org/m/acfbyxaw
From playlist Geometry: Dynamic Interactives!
Create a Triangle with Given Area: Quick Formative Assessment with GeoGebra
GeoGebra Resource: https://www.geogebra.org/m/gbcbbx29
From playlist Geometry: Dynamic Interactives!
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!
Composite Figure GeoGebra Template
GeoGebra Resource: https://www.geogebra.org/m/dyd4srak
From playlist Geometry: Dynamic Interactives!
Joel Hass - Lecture 4 - Algorithms and complexity in the theory of knots and manifolds - 21/06/18
School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects (http://geomschool2018.univ-mlv.fr/) Joel Hass (University of California at Davis, USA) Algorithms and complexity in the theory of knots and manifolds Abstract: These lectures will introduce algorithmic pro
From playlist Joel Hass - School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects
Parallel session 8 by Dave Constantine
Geometry Topology and Dynamics in Negative Curvature URL: https://www.icts.res.in/program/gtdnc DATES: Monday 02 Aug, 2010 - Saturday 07 Aug, 2010 VENUE : Raman Research Institute, Bangalore DESCRIPTION: This is An ICM Satellite Conference. The conference intends to bring together ma
From playlist Geometry Topology and Dynamics in Negative Curvature
Periodic Geodesics and Geodesic Nets on Riemannian Manifolds - Regina Rotman
Workshop on Geometric Functionals: Analysis and Applications Topic: Periodic Geodesics and Geodesic Nets on Riemannian Manifolds Speaker: Regina Rotman Affiliation: University of Toronto; Member, School of Mathematics Date: March 5, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Advanced General Relativity: A Centennial Tribute to Amal Kumar Raychaudhuri (L5) 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
IGA: Rigidity of Riemannian embeddings of discrete metric spaces - Matan Eilat
Abstract: Let M be a complete, connected Riemannian surface and suppose that S is a discrete subset of M. What can we learn about M from the knowledge of all distances in the surface between pairs of points of S? We prove that if the distances in S correspond to the distances in a 2-dimens
From playlist Informal Geometric Analysis Seminar
Stephan Mescher (3/10/22): Geodesic complexity of Riemannian manifolds
Geodesic complexity is motivated by Farber’s notion of topological complexity of a space, which gives a topological description of the motion planning problem in robotics. Motivated by this, D. Recio-Mitter recently introduced geodesic complexity as an isometry invariant of geodesic spaces
From playlist Topological Complexity Seminar
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
Didac Martinez-Granado: Volume Bounds for a Random Canonical Lift Complement
Didac Martinez-Granado, University of California, Davis Title: Volume Bounds for a Random Canonical Lift Complement Given a filling closed geodesic on a hyperbolic surface, one can consider its canonical lift in the projective tangent bundle. Drilling this knot, one obtains a hyperbolic 3-
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Yaiza Canzani: Understanding the growth of Laplace eigenfunctions (part 1 of 2)
In this talk we will discuss a new geodesic beam approach to understanding eigenfunction concentration. We characterize the features that cause an eigenfunction to saturate the standard supremum bounds in terms of the distribution of $L^{2}$ mass along geodesic tubes emanating from a point
From playlist Geometry
Union, intersection and difference of sets in Geogebra
Union, intersection and difference of sets in Geogebra Unija, presjek i razlika skupova u Geogebri Step by Step tutorial here: https://youtu.be/aHhQhsgELG4 In case you wanna to pay me a drink: https://www.paypal.me/admirsuljicic/
From playlist Geogebra [Tutoriali]
Rebekah Palmer: Totally Geodesic Surfaces in Knot Complements with Small Crossing Number
Rebekah Palmer, Temple University Title: Totally Geodesic Surfaces in Knot Complements with Small Crossing Number Studying totally geodesic surfaces has been essential in understanding the geometry and topology of hyperbolic 3-manifolds. Recently, Bader-Fisher-Miller-Stover showed that con
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022