Manifolds.jl provides a library of manifolds aiming for an easy-to-use and fast implementation.

🏔️Manopt. jl – Optimization on Manifolds in Julia

Basic interface for manifolds in Julia

Differential equations on manifolds

Differentiation on manifolds

🏔️⛷️ ManoptExamples.jl – A collection of research and tutorial example problems for Manopt.jl