A Characterisation of Smooth Maps into a Homogeneous Space

We generalize Cartan's logarithmic derivative of a smooth map from a manifold into a Lie group to smooth maps into a homogeneous space = /, and determine the global monodromy obstruction to reconstructing such maps from infinitesimal data. The logarithmic derivative of the embedding of a subm...

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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2022
Main Author: Blaom, Anthony D.
Format: Article
Language:English
Published: Інститут математики НАН України 2022
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211639
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:A Characterisation of Smooth Maps into a Homogeneous Space. Anthony D. Blaom. SIGMA 18 (2022), 029, 15 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine