Reference : Strongly exponential symmetric spaces
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Strongly exponential symmetric spaces
Voglaire, Yannick mailto [The Pennsylvania State University - PSU > Mathematics Department]
International Mathematics Research Notices
Oxford University Press
Yes (verified by ORBilu)
[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.

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