Directory of Differential Geometry Resources

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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.

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• Research Groups

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

  http://www.maths.adelaide.edu.au/michael.murray/dg_exercises.pdf
  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

  http://www.answers.com/topic/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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