Metric tensor

Related lectures (30)

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Explores the Gauss theorem in R^n+1, covering regular domains, vector fields, surface integrals, and volume calculations.

Explores laws of dynamics, angular momentum, inertia tensor, and kinetic energy.

Introduces Hodge duality, covariant derivatives, and key concepts in differential geometry.

Introduces one-forms, tensors, normal coordinates, and metric tensors in differential geometry.

Explores manipulation of 3D arrays, barycenters, shape matrices, Jacobians, eigendecomposition, and visualization in elastic solids.

Explores developable surfaces, parametrization, equations verification, and conformally flat surfaces.

Explores inertia tensor, main axes of inertia, and rotational dynamics of solids, including Steiner's theorem and balancing techniques.

Covers the calculation of the inertia tensor for a thin ring, with examples demonstrating the process.

Covers tensors, Lorentz transformations, and electrodynamics in relativistic notation.

Explores static isotropic metric properties and equations in physics, focusing on the behavior outside the gravitational field.