 Directory of Differential Geometry Resources

Differential geometry is a mathematical discipline that uses the methods of differential and integral calculus, as well as linear and multilinear algebra, to study problems in geometry.

Resources in This Category

• ArXiv Front: DG Differential Geometry

http://front.math.ucdavis.edu/math.DG
Differential geometry section of the mathematics e-print arXiv.

• 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.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

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

• 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

Lecture notes for an honors course at the University of Adelaide by Michael Murray in HTML with GIFs.

• Differential Geometry

http://arxiv.org/PS_cache/math/pdf/0412/0412421v1.pdf
A textbook by Ruslan Sharipov (English and Russian versions).

• Differential Geometry

http://en.wikipedia.org/wiki/Differential_geometry
Wikipedia article on this mathematical discipline that uses the methods of differential and integral calculus, as well as linear and multilinear algebra, to study problems in geometry.

• Differential Geometry and Physics

http://people.uncw.edu/lugo/COURSES/DiffGeom/dg1.htm
Lecture notes by Gabriel Lugo.

• Differential Geometry of Curves

Answers.com encyclopedia entry on differential geometry.

• 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.

• 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.math.ku.dk/~moller/f05/genotes.pdf
Online textbook.

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