2000/12/11 by P. Baguis, Baguis, P., Michel Cahen +2
Engineering · Mathematics · #Dynamics and Control of Mechanical Systems #Mathematics and Applications #Robotic Mechanisms and Dynamics #math.DG #math.SG #msc:53B05 #msc:53C15 #msc:53D20
paper · pdf · doi:10.48550/arxiv.math/0012075
16 pages, Plain TeX file
arxiv created 2000/12/11 · arxiv updated 2009/11/30
We give an elementary construction of symplectic connections through reduction. This provides an elegant description of a class of symmetric spaces and gives examples of symplectic connections with Ricci type curvature, which are not locally symmetric; the existence of such symplectic connections was unknown.