Displaying similar documents to “Shape operators of orbits of isotropy subgroups in Riemannian symmetric spaces of the compact type.”

ϕ -symmetric spaces and weak symmetry

Jürgen Berndt, Lieven Vanhecke (1999)

Bollettino dell'Unione Matematica Italiana

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Proviamo che tutti gli spazi semplicemente connessi ϕ -simmetrici sono debolmente simmetrici e quindi commutativi.

Geodesic graphs on special 7-dimensional g.o. manifolds

Zdeněk Dušek, Oldřich Kowalski (2006)

Archivum Mathematicum

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In ( Dušek, Z., Kowalski, O. and Nikčević, S. Ž., New examples of Riemannian g.o. manifolds in dimension 7, Differential Geom. Appl. 21 (2004), 65–78.), the present authors and S. Nikčević constructed the 2-parameter family of invariant Riemannian metrics on the homogeneous manifolds M = [ SO ( 5 ) × SO ( 2 ) ] / U ( 2 ) and M = [ SO ( 4 , 1 ) × SO ( 2 ) ] / U ( 2 ) . They proved that, for the open dense subset of this family, the corresponding Riemannian manifolds are g.o. manifolds which are not naturally reductive. Now we are going to investigate the remaining...