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

An autoregressive, quaternion manifold model for rapidly estimating complex SO(3) distributions.

Distance-based Analysis of DAta-manifolds in python

⟨Grassmann-Clifford-Hodge⟩ multilinear differential geometric algebra

Slepian Scale-Discretised Wavelets in Python

Differential equations on manifolds

Differentiation on manifolds

Tangent bundle, vector space and Submanifold definition

Computing homology groups of simplicial complexes

Code for the paper "Approximating Latent Manifolds in Neural Networks via Vanishing Ideals"

TensorField topology over FrameBundle ∇ with Grassmann.jl finite elements

Extensive learning notes on mathematics. Now hosted at https://git.sr.ht/~luizmugnaini/deep-dive

An algorithm that computes the twisted L^2-Euler characteristic.

Adaptive P/ODE numerics with Grassmann element TensorField assembly

Tensor algebra abstract type interoperability setup

Comprehensive open source book on basic topology, smooth manifolds, differential geometry, Lie theory, homological algebra, and index theory.