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

Basic interface for manifolds in Julia

Methods for computational information geometry

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

🏔️Optimization on Riemannian Manifolds in Julia

⟨Grassmann-Clifford-Hodge⟩ multilinear differential geometric algebra

Differential equations on manifolds

Differentiation on manifolds

Tangent bundle, vector space and Submanifold definition

TensorField topology over FrameBundle ∇ with Grassmann.jl finite elements

Adaptive P/ODE numerics with Grassmann element TensorField assembly

Tensor algebra abstract type interoperability setup

Normal distributions on manifolds

Optimization methods on manifolds

Functional differential geometry in Julia