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
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