Riemannian geometry | Manifolds | Differential geometry | Geodesic (mathematics)

Geodesic manifold

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).

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Intersection of Planes on Geogebra

In this video, we look at a strategy for finding the intersection of planes on Geogebra.

From playlist Geogebra

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Area of a Rhombus: Without Words

GeoGebra Resource Link: https://www.geogebra.org/m/acfbyxaw

From playlist Geometry: Dynamic Interactives!

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Create a Triangle with Given Area: Quick Formative Assessment with GeoGebra

GeoGebra Resource: https://www.geogebra.org/m/gbcbbx29

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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Composite Figure GeoGebra Template

GeoGebra Resource: https://www.geogebra.org/m/dyd4srak

From playlist Geometry: Dynamic Interactives!

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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]

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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

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