Coordinate-free classic geometries

Details Coordinate-free classic geometries Coordinate-free classic geometries

2007-02-23

arxiv.org/abs/math/0702714v6

Moscow Mathematical Journal (2011) 11 (4): 633-655

Mathematics

Differential Geometry

20 pages, 2 pictures, 1 table, 32 references. Final version

Scientific paper

This paper is devoted to a coordinate-free approach to several classic geometries such as hyperbolic (real, complex, quaternionic), elliptic (spherical, Fubini-Study), and lorentzian (de Sitter, anti de Sitter) ones. These geometries carry a certain simple structure that is in some sense stronger than the riemannian structure. Their basic geometrical objects have linear nature and provide natural compactifications of classic spaces. The usual riemannian concepts are easily derivable from the strong structure and thus gain their coordinate-free form. Many examples illustrate fruitful features of the approach. The framework introduced here has already been shown to be adequate for solving problems concerning particular classic spaces.

Affiliated with

Also associated with

No associations

Rating

Coordinate-free classic geometries does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Coordinate-free classic geometries, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Coordinate-free classic geometries will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-582273