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

🏔️Optimization on Riemannian Manifolds in Julia

Source code for lecture notes

⟨Grassmann-Clifford-Hodge⟩ multilinear differential geometric algebra

Distance-based Analysis of DAta-manifolds in python

Basic interface for manifolds in Julia

Riemannian Optimization Using JAX

Python implementation of the paper "Discrete Differential-Geometry Operators for Triangulated 2-Manifolds" by Meyer et. al. VisMath 2002

This packaged is an implementation of our paper "Robust Denoising of Piece-Wise Smooth Manifolds", ICASSP 2018 The algorithm creates an affinity graph and perform denoising on a set of N input points in R^n. Given an input set of points in any arbitrary dimension, an affinity graph is first created based on Tensor Voting, Local PCA or Euclidean …

Differential equations on manifolds

Tensor algebra abstract type interoperability setup

My animations for my videos

Tangent bundle, vector space and Submanifold definition

Development version of phaseR, an R package for phase plane analysis of one- and two-dimensional autonomous ODE systems

This repository contains the python implementation of the paper titled "Discrete Differential-Geometry Operators for Triangulated 2-Manifolds" by Meyer et. al. VisMath 2002 http://multires.caltech.edu/pubs/diffGeoOps.pdf

Differentiation on manifolds

A package to describe amortized (conditional) normalizing-flow PDFs defined jointly on tensor products of manifolds with coverage control. The connection between different manifolds is fixed via an autoregressive structure.

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

Methods for computational information geometry

Supplementary code for the paper "Stationary Kernels and Gaussian Processes on Lie Groups and their Homogeneous Spaces"