NGSDiffGeo

Getting Started

Installation
License

Geometry foundations

Riemannian Manifolds
Covariant Derivatives
Curvature quantities on Riemannian manifolds
Gauss-Bonnet theorem

Regge metrics and Gauss curvature

Regge finite elements and Regge metrics
Distributional Gauss curvature
Distributional Gauss curvature (analysis)
Gauss curvature approximation on embedded surfaces

Higher-dimensional curvature and linearization

Distributional scalar curvature
Distributional Einstein curvature
Distributional Riemann curvature tensor
Linearization of curvature quantities

Exterior calculus and hypersurfaces

Alternating k-forms, wedge product, Hodge star, and exterior (co-) derivative
Double forms
Exterior covariant derivatives of double forms
Differential operators and curvature on hypersurfaces

Developer Guide

Developer guide

NGSDiffGeo

Index

Index

© Copyright 2025, Michael Neunteufel.

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