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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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Local Lie Groups

Local Lie Groups

Chapter:
(p.23) 3 Local Lie Groups
Source:
An Alternative Approach to Lie Groups and Geometric Structures
Author(s):

Ercüment H. Ortaçgil

Publisher:
Oxford University Press
DOI:10.1093/oso/9780198821656.003.0004

If the nonlinear curvature of a splitting vanishes, then the local solutions form a pseudogroup, and we the manifold is called a local Lie group. This is a global concept!

Keywords:   pseudogroup, analytic continuation, completeness

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