⟨Grassmann-Clifford-Hodge⟩ multilinear differential geometric algebra

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

Tangent bundle, vector space and Submanifold definition

Tensor algebra abstract type interoperability setup

Methods for computational information geometry

Differential equations on manifolds

Functional differential geometry in Julia

Adaptive P/ODE numerics with Grassmann element TensorField assembly

Differentiation on manifolds

Maurer-Cartan-Lie frame connections ∇ Grassmann.jl TensorField derivations

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

Normal distributions on manifolds

Optimization methods on manifolds