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Research Groups

Center for Geometry, Analysis, Numerics and Graphi, EDGE-Madrid, EDGE-Munich, EDGE-Paris, EDGE-Rome, EDGE-Sofia, EDGE-Warwick, Minimal Surfaces and Isoperimetric Problems, Minimal Surfaces at Granada

Alfred Gray Differental Geometry

http://math.cl.uh.edu/~gray/

Graphics of suface geometry. Mathematica code and gallery of images.

ArXiv Front: DG Differential Geometry

http://front.math.ucdavis.edu/math.DG

Differential geometry section of the mathematics e-print arXiv.

Classical Curve Theory and Frenet Equations

http://www.geocities.com/expotition2002/curves/

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.

Differential Geometry

http://www.wisdom.weizmann.ac.il/~yakov/Geometry/

Lecture notes for a course at the Weizmann Institute of Science by Sergei Yakovenko. Chapters in DVI.

Differential Geometry Page

http://math.bu.edu/people/carlosm/Diffeo.html

Contains several figures which are the result of easy codes using Mathematica, including Enneper's surface.

Differential topology

http://differential-topology.net

History, classification, topologies, tangent vectors and more

Finite Canonical Commutation Relations

http://graham.main.nc.us/~bhammel/FCCR/fccr.html

A working paper on FCCR nxn matrices as local kinematical replacement for CCR, and representations by pxp matrices over Galois fields.

John Oprea's Home Page

http://www.csuohio.edu/math/oprea

This site includes references to the author's papers and books, including Differential Geometry and its Applications and The Mathematics of Soap Films: Explorations with Maple. There are also Maple files available for downloading.

Non-Commutative Geometry

http://arxiv.org/abs/gr-qc/9906059

A short historical review is made of some recent literature in the field of noncommutative geometry

Riemannian Geometry

http://www.maths.lth.se/matematiklu/personal/sigma/Riemann.ps

A set of postscript lecture notes for a graduate level course on Riemannian geometry.

Riemannian Geometry

http://www.treasure-troves.com/math/RiemannianGeometry.html

Mostly a definition with a few equations.

The Scientific Graphics Project

http://www.msri.org/publications/sgp/SGP/

This site contains didactic and research information about the differential geometry of minimal and constant-mean-curvature surfaces. It also addresses their application in materials science. It is full of illustrations and animations, and also contains software for research use.