Differential Geometry


A systematic overview of classical curve theory, including Frenet equations and their known solutions, some results on moving frames (relationship between Frenet and Bishop Frame), spherical curves and surface curves.








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Differential Geometry


See Also:
  • Differential Geometry Page - Contains several figures which are the result of differential geometry easy math codes using Mathematica, including Enneper's surface.
  • Differential geometry of curves - Answers.com encyclopedia entry on Differential Geometry.
  • Differential Geometry and General Relativity - An introduction to differential geometry and general relativity differential geometry by Stefan Waner at Hofstra. This is an differential geometry upper level undergraduate mathematics course which assumes a differential geometry knowledge of calculus and some linear algebra.
  • Finite Canonical Commutation Relations - A working paper on FCCR nxn matrices as math local kinematical differential geometry replacement for CCR, and representations math by pxp matrices over differential geometry Galois fields.
  • Differential Geometry and Physics - Lecture notes by Gabriel Lugo.
  • ArXiv Front: DG Differential Geometry - Differential geometry section of the mathematics e-print arXiv.
  • Complex Analytic and Differential Geometry - Book by Jean-Pierre Demailly. Topics include complex math geometry, coherent geometry sheaves, and positive currents.[PDF]
  • Riemannian Geometry - Mostly a definition with a few equations.
  • Differential Geometry - Several books by Peter W. Michor et al. including "Foundations of Differential Geometry", "Natural operations in differential geometry" (corrected version), "Transformation Groups", and "Gauge theory for fiber bundles&qu
  • Non-Commutative Geometry - A short historical review is made of some recent literature in the field of noncommutative geometry
  • Differential geometry - A textbook by Ruslan Sharipov (English and Russian geometry versions).
  • Classical Curve Theory and Frenet Equations - A systematic overview of classical curve theory, including Frenet equations and their known solutions, some results on moving frames (relationship between Frenet and Bishop Frame), spherical curves and surface curves.
  • John Oprea's Home Page - References to the author\\'s papers and books, including math Differential Geometry geometry and its Applications and The Mathematics math of Soap Films: Explorations geometry with Maple. There are math also Maple files available for downloading.


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