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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.