Reductive homogeneous space | Wikipedia audio article
Channel: wikipedia tts
Date: 2019-05-03

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Klein_geometry


00:00:29 1 Formal definition
00:02:37 2 Bundle description
00:03:05 3 Types of Klein geometries
00:03:55 3.1 Effective geometries
00:04:05 3.2 Geometrically oriented geometries
00:05:26 3.3 Reductive geometries
00:05:45 4 Examples
00:06:42 5 References
00:06:47 Reductive geometries
00:07:24 Examples



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SUMMARY
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In mathematics, a Klein geometry is a type of geometry motivated by Felix Klein in his influential Erlangen program. More specifically, it is a homogeneous space X together with a transitive action on X by a Lie group G, which acts as the symmetry group of the geometry.
For background and motivation see the article on the Erlangen program.