Einstein-like semi-symmetric spaces
Archivum mathematicum, Tome 29 (1993) no. 3-4, pp. 235-240
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
One proves that semi-symmetric spaces with a Codazzi or Killing Ricci tensor are locally symmetric. Some applications of this result are given.
Classification :
53C25, 53C35
Keywords: semi-symmetric spaces; Killing and Codazzi Ricci tensor; locally symmetric spaces; spaces with volume-preserving geodesic symmetries; C-spaces; Osserman spaces
Keywords: semi-symmetric spaces; Killing and Codazzi Ricci tensor; locally symmetric spaces; spaces with volume-preserving geodesic symmetries; C-spaces; Osserman spaces
@article{ARM_1993__29_3-4_a12,
author = {Boeckx, E.},
title = {Einstein-like semi-symmetric spaces},
journal = {Archivum mathematicum},
pages = {235--240},
publisher = {mathdoc},
volume = {29},
number = {3-4},
year = {1993},
mrnumber = {1263125},
zbl = {0807.53041},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_1993__29_3-4_a12/}
}
Boeckx, E. Einstein-like semi-symmetric spaces. Archivum mathematicum, Tome 29 (1993) no. 3-4, pp. 235-240. http://geodesic.mathdoc.fr/item/ARM_1993__29_3-4_a12/