Glossary of Riemannian and metric geometry

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Explores the Laplacian, Riemannian metric, and invariant operators in hyperbolic surfaces.

Explores automorphisms of graphs, focusing on automorphism groups, Cayley-Abels graphs, and quasi-isometry.

Explores Riemannian metrics on manifolds and the concept of Riemannian submanifolds in Euclidean spaces.

Explains Riemannian submanifolds, metrics, and gradients computation on manifolds.

Explores setting up experiments, interview guides, and self-experimentation in research methods.

Covers the definition of retraction, open submanifolds, local defining functions, tangent spaces, and Riemannian metrics.

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

Explores symmetries, Riemannian connection, vector fields, and Lie bracket in geometry.

Explores surfaces with constant curvature, emphasizing the significance of minimal oriented radius and the properties of pseudo-spheres.

Explores curves with Poritsky property, Birkhoff integrability, and Liouville nets in billiards.