Riemannian manifolds

Sasaki metric

The Sasaki metric is a natural choice of Riemannian metric on the tangent bundle of a Riemannian manifold.Introduced by Shigeo Sasaki in 1958. (Wikipedia).

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More Standard Deviation and Variance

Further explanations and examples of standard deviation and variance

From playlist Unit 1: Descriptive Statistics

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Percentiles, Deciles, Quartiles

Understanding percentiles, quartiles, and deciles through definitions and examples

From playlist Unit 1: Descriptive Statistics

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Metric Unit Conversion

This video explains how to convert to different metric units of measure for length, capacity, and mass. http://mathispower4u.wordpress.com/

From playlist Unit Conversions: Metric Units

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Sasaki geometry and positive curvature - Song Sun [2012]

Abstract: We classify simply connected compact Sasaki manifolds with positive transverse bisectional curvature. In particular, the moduli space of all such manifolds can be contracted to a point—the standard round sphere. This provides an alternative proof of the Mori-Siu-Yau theorem on Fr

From playlist Mathematics

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Ex: Metric Conversions Using Unit Fractions - Length

This video provides three examples of how to perform metric conversions involving length using unit fractions. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com

From playlist Unit Conversions: Metric Units

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The Hilbert--Einstein functional and the Sasaki-Futaki invariant - Eveline Legendre [2016]

Abstract: I will show how the Hilbert--Einstein functional detects the Reeb vector fields having a vanishing transversal Futaki invariant and so that it is an obstruction to the existence of constant scalar curvature Sasaki metrics. I will also discuss the relation of this functional with

From playlist Mathematics

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Homology Smale­-Barden manifolds with K­-contact and Sasakian structures by Aleksy Tralle

Higgs bundles URL: http://www.icts.res.in/program/hb2016 DATES: Monday 21 Mar, 2016 - Friday 01 Apr, 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore DESCRIPTION: Higgs bundles arise as solutions to noncompact analog of the Yang-Mills equation. Hitchin showed that irreducible solutio

From playlist Higgs Bundles

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Measures of Spread Overview

Introduction to standard deviation, IQR [Inter-Quartile Range], and range

From playlist Unit 1: Descriptive Statistics

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Teach Astronomy - Light Year

http://www.teachastronomy.com/ The vast distances to the nearest stars encourage astronomers to use a new unit of distance. Whereas meters and kilometers work well on the Earth, and the astronomical unit is the appropriate unit for scales within the solar system, the distance scale to the

From playlist 14. Stars

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Statistics Lecture 3.3: Finding the Standard Deviation of a Data Set

https://www.patreon.com/ProfessorLeonard Statistics Lecture 3.3: Finding the Standard Deviation of a Data Set

From playlist Statistics (Full Length Videos)

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Pedram Hekmati: Moduli spaces of contact instantons

The Yang-Mills instantons have several natural extensions to higher dimensions. This talk concerns one such instance, namely contact instantons, which arise in the study of a super Yang-Mills theory on 5-dimensional contact manifolds. The geometry transverse to the Reeb foliation turns out

From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"

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Ergodicity of the Weil-Petersson geodesic flow (Lecture - 1) Keith Burns

Geometry, Groups and Dynamics (GGD) - 2017 DATE: 06 November 2017 to 24 November 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru The program focuses on geometry, dynamical systems and group actions. Topics are chosen to cover the modern aspects of these areas in which research has b

From playlist Geometry, Groups and Dynamics (GGD) - 2017

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Examples: Converting Between Metric Units

This video provides several examples of converting between different metric units of measure.

From playlist Unit Conversions: Metric Units

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The inflationary paradigm (Lecture 2) by William Kinney

PROGRAM PHYSICS OF THE EARLY UNIVERSE (HYBRID) ORGANIZERS: Robert Brandenberger (McGill University, Canada), Jerome Martin (IAP, France), Subodh Patil (Leiden University, Netherlands) and L. Sriramkumar (IIT - Madras, India) DATE: 03 January 2022 to 12 January 2022 VENUE: Online and Ra

From playlist Physics of the Early Universe - 2022

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G. Molino - The Horizontal Einstein Property for H-Type sub-Riemannian Manifolds

We generalize the notion of H-type sub-Riemannian manifolds introduced by Baudoin and Kim, and then introduce a notion of parallel Clifford structure related to a recent work of Moroianu and Semmelmann. On those structures, we prove an Einstein property for the horizontal distribution usin

From playlist Journées Sous-Riemanniennes 2018

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PUBLIC LECTURE: Ergodic behavior in Negative curvature by Patrick Eberlein

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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Ex: Measure Lengths in Centimeters - Decimal Notation and Mixed Numbers

This video explains how to measure length in centimeters and also makes the connection between decimal notation and mixed numbers. Site: http://mathispower4u.com

From playlist Introduction to Fractions

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The Einstein-Hilbert functional and the Sasaki-Futaki invariant - Eveline Legendre [2015]

Name: Eveline Legendre Event: Workshop: Toric Kahler Geometry Event URL: view webpage Title: The Einstein-Hilbert functional and the Sasaki-Futaki invariant Date: 2015-10-09 @10:00 AM Location: Math 5127 http://scgp.stonybrook.edu/video_portal/video.php?id=2281

From playlist Mathematics

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Introduction to Geometer's Sketchpad: Measurements

This video demonstrates some of the measurement and calculation features of Geometer's Sketchpad.

From playlist Geometer's Sketchpad

Related pages

Tangent bundle | Riemannian manifold | Riemannian submersion