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Differential Geometry

Science > Math > Geometry > Differential Geometry

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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.

Complex Analytic and Differential Geometry - http://www-fourier.ujf-grenoble.fr/~demailly/manuscripts/agbook.pdf
Book by Jean-Pierre Demailly. Topics include complex geometry, coherent sheaves, and positive currents.

Differential Geometry - http://www.mat.univie.ac.at/~michor/listpubl.html
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" plus papers by the author in postscript.

Differential Geometry - http://www.cs.elte.hu/geometry/csikos/dif/dif.html
Notes by Balázs Csikós. Chapters in PostScript.

Differential geometry - http://www.geocities.com/r-sharipov/r4-b3.htm
A textbook by Ruslan Sharipov (English and Russian versions).

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 and General Relativity - http://people.hofstra.edu/faculty/Stefan_Waner/diff_geom/tc.html
An introduction to differential geometry and general relativity by Stefan Waner at Hofstra. This is an upper level undergraduate mathematics course which assumes a knowledge of calculus and some linear algebra.

Differential Geometry and Physics - http://people.uncw.edu/lugo/COURSES/DiffGeom/dg1.htm
Lecture notes by Gabriel Lugo.

Differential geometry of curves - http://www.answers.com/topic/differential-geometry-of-curves
Answers.com encyclopedia entry on Differential Geometry.

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.

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
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.treasure-troves.com/math/RiemannianGeometry.html
Mostly a definition with a few equations.

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.

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