On symmetric Cauchy-Riemann manifolds
We study symmetric spaces in the category
of CR-manifolds. This generalizes the classical notion
for Riemannian as well as for Hermitian manifolds - but in
contrast the symmetries need not have isolated fixed points
(otherwise everything would be Levi-flat). Our main
examples are connected components of the manifold of
tripotents in JB*-triples (Hermitian Banach Jordan triple systems).
(This paper has appeared in Advances in Mathematics 149, 145-181 (2000))
W. Kaup <kaup@uni-tuebingen.de>
D. Zaitsev <dmitri.zaitsev@uni-tuebingen.de>