In this matlab program, you can calculate the following:
- metric tensor
- riemannian connection
- riemann curvature tensor
- ricci curvature tensor
- scalar curvature
- gauss Curvature
- parallel transport
- geodesic
- visualization of surface
- visualization of parallel transport
- visualization of scalar curvature
- visualization of geodesic
It is recommended to use the latest version of matlab
Input: parametric equation
This routine will automatically calculate metrics induced by the ambient three-dimensional euclidean space.
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| sphere geodesic |
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| sphere parallel |
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| torus parallel |
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| torus geodesic |
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| torus curvature |
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| hyperbolic parallel |
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| hyperbolic geodesic |
