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atlas 2 - modern differential geometry for Mathematica®
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Atlas Documentation
Documentation guide
Dimension in the atlas package
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RicciScalar
Standard DG operators
d
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ι
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- Hodge operator
- Covariant derivative
grad
- Gradient operator
div
- Divergence operator
δ
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Δ
- Hodge-de Rham Laplacian
φ
*
- Pullback
Dφ
x
- Pushforward
Utility operators
ToBasis decomposision
Who - "who is who"
kind - Kind of a tensor
&$ - Generalized interior product
&@ - Natural vector operator
dual - Duality operator
delta - Kronecker's delta symbol
General Tutorials
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3D Coordinate system changing
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Plane curves (Epicycloid)
Plane curves (Abstract in Cartesian)
Plane curves (Abstract in Polar)
Space curves
Winding line on a torus
Calculation on 2-sphere
Surface geometry
Minimal surfaces
Abstract revolutionary surface
Schwarzschild black hole
Kerr black hole
Conformally flat metric on S
2
Abstract calculations
Define manifold as a whole
Ricci - flat warped product
Simple S
1
- fibration
Connection with torsion
Atlas Wizard Tutorials
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Atlas Wizard Tutorials
Use following tutorials to learn how to use the Atlas Wizard.
2D coordinate systems
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atlas 2 - modern differential geometry for Mathematica®
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AnalyticalApproximations for Mathematica®
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