Einstein-like semi-symmetric spaces

Eric Boeckx

Archivum Mathematicum (1993)

  • Volume: 029, Issue: 3-4, page 235-240
  • ISSN: 0044-8753

Abstract

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One proves that semi-symmetric spaces with a Codazzi or Killing Ricci tensor are locally symmetric. Some applications of this result are given.

How to cite

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Boeckx, Eric. "Einstein-like semi-symmetric spaces." Archivum Mathematicum 029.3-4 (1993): 235-240. <http://eudml.org/doc/247452>.

@article{Boeckx1993,
abstract = {One proves that semi-symmetric spaces with a Codazzi or Killing Ricci tensor are locally symmetric. Some applications of this result are given.},
author = {Boeckx, Eric},
journal = {Archivum Mathematicum},
keywords = {semi-symmetric spaces; Killing and Codazzi Ricci tensor; locally symmetric spaces; spaces with volume-preserving geodesic symmetries; C-spaces; Osserman spaces; de Rham product; locally symmetric spaces; Ricci tensor; volume- preserving geodesic symmetries; Jacobi operators; Osserman spaces},
language = {eng},
number = {3-4},
pages = {235-240},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Einstein-like semi-symmetric spaces},
url = {http://eudml.org/doc/247452},
volume = {029},
year = {1993},
}

TY - JOUR
AU - Boeckx, Eric
TI - Einstein-like semi-symmetric spaces
JO - Archivum Mathematicum
PY - 1993
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 029
IS - 3-4
SP - 235
EP - 240
AB - One proves that semi-symmetric spaces with a Codazzi or Killing Ricci tensor are locally symmetric. Some applications of this result are given.
LA - eng
KW - semi-symmetric spaces; Killing and Codazzi Ricci tensor; locally symmetric spaces; spaces with volume-preserving geodesic symmetries; C-spaces; Osserman spaces; de Rham product; locally symmetric spaces; Ricci tensor; volume- preserving geodesic symmetries; Jacobi operators; Osserman spaces
UR - http://eudml.org/doc/247452
ER -

References

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  15. Geodesic maps on Riemannian spaces, (Russian), Publishing House “Nauka" Moscow, 1979. MR0552022
  16. Structure theorems on Riemannian manifolds satisfying R ( X , Y ) · R = 0 , I,Local version, J. Diff. Geom. 17 (1982), 531-582. (1982) MR0683165
  17. Structure theorems on Riemannian manifolds satisfying R ( X , Y ) · R = 0 , II, Global versions, Geom. Dedicata 19 (1985), 65-108. (1985) MR0797152
  18. Some solved and unsolved problems about harmonic and commutative spaces, Bull. Soc. Math. Belg., Sér. B 34 (1982), 1-24. (1982) Zbl0518.53042MR0683378
  19. Geometry in normal and tubular neighborhoods, Lecture Notes, Proc. Workshop on Differential Geometry and Topology, Cala Gonone (Sardinia), Rend. Sem. Fac. Sci. Univ. Cagliari, Supplemento al Vol. 58 (1988), 73-176. (1988) MR1122858

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