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An Alternative Approach to Lie Groups and Geometric Structures$
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Ercüment H. Ortaçgil

Print publication date: 2018

Print ISBN-13: 9780198821656

Published to Oxford Scholarship Online: September 2018

DOI: 10.1093/oso/9780198821656.001.0001

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Klein Geometries

Klein Geometries

Chapter:
(p.135) 16 Klein Geometries
Source:
An Alternative Approach to Lie Groups and Geometric Structures
Author(s):

Ercüment H. Ortaçgil

Publisher:
Oxford University Press
DOI:10.1093/oso/9780198821656.003.0017

Up to now, the discussion has been mainly concerned with Lie groups and their curved analogs, namely, parallelizable manifolds and their curvatures. The problem is to generalize this construction to arbitrary geometric structures. The first step is to study the flat case, and this is the subject of this chapter.

Keywords:   Klein pair, filtration, principal bundle, associated vector bundle, Ado’s theorem, arrow, k-arrow

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