Article (Scientific journals)
Strongly exponential symmetric spaces
Voglaire, Yannick
2013In International Mathematics Research Notices
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Abstract :
[en] We study the exponential map of connected symmetric spaces and characterize, in terms of midpoints and of infinitesimal conditions, when it is a diffeomorphism, generalizing the Dixmier–Saito theorem for solvable Lie groups. We then give a geometric characterization of the (strongly) exponential solvable symmetric spaces as those spaces for which every triangle admits of a unique double triangle. This work is motivated by Weinstein's quantization by groupoids program applied to symmetric spaces.
Disciplines :
Mathematics
Author, co-author :
Voglaire, Yannick ;  The Pennsylvania State University - PSU > Mathematics Department
Language :
English
Title :
Strongly exponential symmetric spaces
Publication date :
2013
Journal title :
International Mathematics Research Notices
ISSN :
1073-7928
Publisher :
Oxford University Press
Peer reviewed :
Peer reviewed
Available on ORBilu :
since 20 December 2013

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