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∑MathAdvanced

Lie Groups & Lie Algebras

Lie groups model continuous symmetries like rotations and rigid-body motions, combining algebra (group law) and calculus (smooth manifolds).

#lie group#lie algebra#so(3)+12
∑MathIntermediate

Riemannian Metrics & Geometry

A Riemannian metric assigns an inner product to each tangent space, giving you a way to measure lengths and angles on curved spaces (manifolds).

#riemannian metric
Advanced
Filtering by:
#manifold
#metric tensor
#christoffel symbols
+12
∑MathAdvanced

Manifolds & Manifold Hypothesis

A manifold is a space that locally looks like Euclidean space, stitched together by coordinate charts and smooth transition maps.

#manifold#topological manifold#smooth manifold+12