Tullio Levi-Civita

Related lectures (12)

Introduces the concept of differential forms and their applications in n-dimensional manifolds, including the Levi-Civita tensor and volume form.

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

Presents the fundamental theorem of Riemannian geometry and demonstrates the uniqueness of the Riemannian connection.

Covers the exponential map, covariant derivatives, connection coefficients, and Riemann curvature tensor.

Explores parallel transport along curves and geodesics maximizing proper time between points.

Covers angular momentum in rotations, including preservation of angles and vector products.

Explores Maxwell equations, Minkowski spacetime, Lorentz transformations, charge conservation, and spacetime structure in physics.

Explores Riemannian connections on manifolds, emphasizing smoothness and compatibility with the metric.

Covers Riemannian connections, emphasizing their properties and significance in geometry.

Covers angular momentum generators, operators, and finite rotations in quantum mechanics.

Explores the vorticity equation, Levi-Civita symbol, stress tensor, and helicity derivation.

Covers Lorentz transformations, Maxwell equations, and charge conservation in Lorentz invariant physics.

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