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Transitive subgroups of transvections acting on some symplectic symmetric spaces of Ricci type
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Cahen, M., Gutt, Simone, Malik, A and Rawnsley, John H. (2011) Transitive subgroups of transvections acting on some symplectic symmetric spaces of Ricci type. Journal of Geometry and Physics, Vol.61 (No.8). pp. 1292-1308. doi:10.1016/j.geomphys.2011.02.016 ISSN 03930440.
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Official URL: http://dx.doi.org/10.1016/j.geomphys.2011.02.016
Abstract
Symmetric symplectic spaces of Ricci type are a class of symmetric symplectic spaces which can be entirely described by reduction of certain quadratic Hamiltonian systems in a symplectic vector space. We determine, in a large number of cases, whether such a space admits a subgroup of its transvection group acting simply transitively. We observe that the simply transitive subgroups obtained are one-dimensional extensions of the Heisenberg group.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Symplectic spaces, Symplectic groups, Ricci flow | ||||
Journal or Publication Title: | Journal of Geometry and Physics | ||||
Publisher: | Elsevier Science BV | ||||
ISSN: | 03930440 | ||||
Official Date: | August 2011 | ||||
Dates: |
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Volume: | Vol.61 | ||||
Number: | No.8 | ||||
Page Range: | pp. 1292-1308 | ||||
DOI: | 10.1016/j.geomphys.2011.02.016 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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