Applications of Exterior Differential Forms
A University of Houston Physics Course on the Internet
Physics 7397 - on the Internet - Professor R. M. Kiehn
Lecture Notes
Why Differential Forms? Functional Substitution and PullBack
Why Topology?
Cartan's Calculus: The exterior product
Cartan's Calculus: The exterior differential
Cartan's Calculus: the interior product.
Surfaces and Submanifolds
Curves and Immersions
Cartan's Magic formula: The Lie derivative
Cartan Topology and Electromagnetism
Topological Torsion
Projective Connections: Fiber bundles the easy way.
Hamiltonian Extremal and Symplectic Physics
Period Integrals, Quantization and Gauge
Irreversible Evolution with Cartan's Magic formula
Finsler Spaces, Biology and Thermodynamics
Bohm Aharanov, and the theory of flight.
Non-uniqueness, Envelopes and the Edge of Regression
Frobenius Integrability and the Transition to Turbulence.
Anholonomic Fluctuations and Cartan topology
Harmonic fields, Minimal Surfaces and deRham
The decay to equilibrium - A Symplectic to Contact phase transition
Topological Torsion defects in Fluids
Cosmological Strings in a Swimming Pool
What are Signals and what are Waves?
Topology and Topological Evolution
Frame vs. Metric connections, and their curvatures
Frame and Metric Perturbations in 4D - A Schwarzshild Solution with Torsion
Non-Zero Trace of curvature 2-forms
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Last update 07/19/2001