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Introduction to General Theory Of Relativity.
Manifold. Definition of Manifold.
Examples of Manifolds. General Relativity.
Definition of Derivation. Manifold Theory
Tangent Space. Manifold Theory
Dual Derivation. General Theory Of Relativity.
Tangent and Cotangent bundle. General Relativity
The Riemann Metric Tensor.
Changing metric tensor in contravariant form to a metric tensor in covariant form.
2D Euclidean Metric Tensor from Cartesian to polar coordinates.
Transform 3D metric tensor from cartesian to spherical polar coordinates.
Inverse of 3D Euclidean Metric Tensor from Cartesian to Spherical Polar Coordinates.