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Manifold | Riemannian Manifold | Differential geometry lecture video | Differential geometry lecture
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#manifold #riemannianmanifold #differentialgeometrylecturevideo
00:00 - 01:35 - Introduction & Goal
01:35 - 02:34 - Topics
02:35 - 05:37 - What is differential geometry
05:38 - 15:23 - Manifold: A brief history
15:24 - 21:49 - Visualizing a manifold
21:50 - 27:55- Types of manifold
27:56 - 30:07 - Analyzing a manifold
30:08 - 31:03 - Benefits of learning manifold
31:04 - 47:36 - Riemannian manifold & Riemannian metric
47:37 - 48:09 - Topics for the next video
48:10 - 49:41 - Summary
In this video I have explained the concept of a manifold, what is a manifold, and the details of the Riemannian manifold. In this lecture video of differential geometry I have also covered what is a Riemannian metric and the history of manifold. The entire video lays down the concepts on a very intuitive mode, with minimum mathematical equations. The benefits of learning manifold and how we can visualize a manifold is also covered here.
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Contact: +91 9830219677
The objective of this channel is to provide educative videos on physics and mathematics.
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(2) Quantum Mechanics
(3) Special Relativity
(4) General Relativity
(5) Black Holes
(6) Differential Geometry
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My name is Shounak. I teach in a college.
Copyright © 2021 Physics for Students. All rights reserved.
#whatismanifold
#whatisriemannianmanifold
#riemannianmanifold
#riemanniangeometry
#riemannianmetric
#differentialgeometryforphysicists
#curvedspacetime
#möbiusstrip
#moebius
#topologyandgeometry
#bernhardriemann
#historyofmanifold
#historyofdifferentialgeometry
#manifoldlecture
#homeomorphism
#physicsforstudents
#differentialgeometrylecturevideo
#differentialgeometrylectureseries
#differentialgeometry
#differentialgeometryandtensoranalysis
#differentialgeometrypgtrb
#differentialgeometrymcqquestions
#differentialgeometrypolytechnictrb
#differentialgeometrypgtrbquestions
#whatisdifferentialgeometry
#bernhardriemann
#manifold
#whatisamanifold
#topologymathematics
#topologymathematicslecture
#riemanniangeometry
#whyshouldistudydifferentialgeometry
#differentialgeometryforbeginners
#beginnersguidetodifferentialgeometry
#differentialgeometrymadeeasy
#differentialgeometryfordummies
#euclidean
#mobiusstrip
#kleinandmobius
#kleinbottle
#michaelfreedman
#generalrelativity
#topology
#topologicalspaces
00:00 - 01:35 - Introduction & Goal
01:35 - 02:34 - Topics
02:35 - 05:37 - What is differential geometry
05:38 - 15:23 - Manifold: A brief history
15:24 - 21:49 - Visualizing a manifold
21:50 - 27:55- Types of manifold
27:56 - 30:07 - Analyzing a manifold
30:08 - 31:03 - Benefits of learning manifold
31:04 - 47:36 - Riemannian manifold & Riemannian metric
47:37 - 48:09 - Topics for the next video
48:10 - 49:41 - Summary
In this video I have explained the concept of a manifold, what is a manifold, and the details of the Riemannian manifold. In this lecture video of differential geometry I have also covered what is a Riemannian metric and the history of manifold. The entire video lays down the concepts on a very intuitive mode, with minimum mathematical equations. The benefits of learning manifold and how we can visualize a manifold is also covered here.
Subscribe for more physics and mathematics videos:
Join this channel to get access to perks:
Contact: +91 9830219677
The objective of this channel is to provide educative videos on physics and mathematics.
Playlists:
(1) Most watched videos
(2) Quantum Mechanics
(3) Special Relativity
(4) General Relativity
(5) Black Holes
(6) Differential Geometry
(7) Topology
(8) Vectors and Tensors
(9) Real Analysis
(10) Maxwell's Equations
(11) Classical Physics
(12) Basic Mathematics
(13) Calculus
(14) Concept Building
(15) How To Learn Mathematics
(16) Tagore Einstein conversations
(17) Biographies
(18) Grigori Perelman
(19) String Theory
(20) Shorts
My name is Shounak. I teach in a college.
Copyright © 2021 Physics for Students. All rights reserved.
#whatismanifold
#whatisriemannianmanifold
#riemannianmanifold
#riemanniangeometry
#riemannianmetric
#differentialgeometryforphysicists
#curvedspacetime
#möbiusstrip
#moebius
#topologyandgeometry
#bernhardriemann
#historyofmanifold
#historyofdifferentialgeometry
#manifoldlecture
#homeomorphism
#physicsforstudents
#differentialgeometrylecturevideo
#differentialgeometrylectureseries
#differentialgeometry
#differentialgeometryandtensoranalysis
#differentialgeometrypgtrb
#differentialgeometrymcqquestions
#differentialgeometrypolytechnictrb
#differentialgeometrypgtrbquestions
#whatisdifferentialgeometry
#bernhardriemann
#manifold
#whatisamanifold
#topologymathematics
#topologymathematicslecture
#riemanniangeometry
#whyshouldistudydifferentialgeometry
#differentialgeometryforbeginners
#beginnersguidetodifferentialgeometry
#differentialgeometrymadeeasy
#differentialgeometryfordummies
#euclidean
#mobiusstrip
#kleinandmobius
#kleinbottle
#michaelfreedman
#generalrelativity
#topology
#topologicalspaces
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