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math.DG2012
Codimension reduction in symmetric spaces
Antonio J. Di Scala, Francisco Vittone
In this paper we give a short geometric proof of a generalization of a well-known result about reduction of codimension for submanifolds of Riemannian symmetric spaces.
math.DG2012★ 6 cited
Naturally reductive pseudo-Riemannian Lie groups in low dimensions
Viviana del Barco, Gabriela P. Ovando, Francisco Vittone
This work concerns the non-flat metrics on the Heisenberg Lie group of dimension three $\Heis_3(\RR)$ and the bi-invariant metrics on the solvable Lie groups of dimension four. On…