Semi-symmetric 𝔓 -spaces

Eric Boeckx

Commentationes Mathematicae Universitatis Carolinae (1994)

  • Volume: 35, Issue: 3, page 565-573
  • ISSN: 0010-2628

Abstract

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We determine explicitly the local structure of a semi-symmetric 𝔓 -space.

How to cite

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Boeckx, Eric. "Semi-symmetric $\mathfrak {P}$-spaces." Commentationes Mathematicae Universitatis Carolinae 35.3 (1994): 565-573. <http://eudml.org/doc/247577>.

@article{Boeckx1994,
abstract = {We determine explicitly the local structure of a semi-symmetric $\mathfrak \{P\}$-space.},
author = {Boeckx, Eric},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {semi-symmetric spaces; Jacobi operators; $\mathfrak \{C\}$- and $\mathfrak \{P\}$-spaces; semi-symmetric spaces; Jacobi operators; -spaces},
language = {eng},
number = {3},
pages = {565-573},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Semi-symmetric $\mathfrak \{P\}$-spaces},
url = {http://eudml.org/doc/247577},
volume = {35},
year = {1994},
}

TY - JOUR
AU - Boeckx, Eric
TI - Semi-symmetric $\mathfrak {P}$-spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1994
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 35
IS - 3
SP - 565
EP - 573
AB - We determine explicitly the local structure of a semi-symmetric $\mathfrak {P}$-space.
LA - eng
KW - semi-symmetric spaces; Jacobi operators; $\mathfrak {C}$- and $\mathfrak {P}$-spaces; semi-symmetric spaces; Jacobi operators; -spaces
UR - http://eudml.org/doc/247577
ER -

References

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  1. Berndt J., Prüfer F., Vanhecke L., Symmetric-like Riemannian manifolds and geodesic symmetries, Proc. Royal Soc. Edingurgh, Sect. A, to appear. MR1331561
  2. Berndt J., Vanhecke L., Two natural generalizations of locally symmetric spaces, Diff. Geom. Appl. 2 (1992), 57-80. (1992) Zbl0747.53013MR1244456
  3. Berndt J., Vanhecke L., Geodesic spheres and generalizations of symmetric spaces, Boll. Un. Nat. Ital. 7-A (1993), 125-134. (1993) Zbl0778.53043MR1215106
  4. Berndt J., Vanhecke L., Geodesic sprays and ℭ - and 𝔓 -spaces, Rend. Sem. Mat. Univ. Politec. Torino 50 (1992), 343-358. (1992) MR1261447
  5. Boeckx E., Einstein-like semi-symmetric spaces, Arch. Math. (Brno) 29 (1993), 235-240. (1993) Zbl0807.53041MR1263125
  6. Boeckx E., Asymptotically foliated semi-symmetric spaces, preprint, 1993. Zbl0846.53031MR1369387
  7. Boeckx E., Kowalski O., Vanhecke L., Non-homogeneous relatives of symmetric spaces, Diff. Geom. Appl., to appear. Zbl0796.53046
  8. Cho J.T., Natural generalizations of locally symmetric spaces, Indian J. Pure Appl. Math. 24 (1993), 231-240. (1993) Zbl0772.53029MR1218533
  9. Kowalski O., An explicit classification of 3 -dimensional Riemannian spaces satisfying R ( X , Y ) · R = 0 , preprint, 1991. Zbl0879.53014MR1408298
  10. Szabó Z.I., Structure theorems on Riemannian manifolds satisfying R ( X , Y ) · R = 0 , I, Local version, J. Diff. Geom. 17 (1982), 531-582. (1982) MR0683165
  11. Szabó Z.I., Structure theorems on Riemannian manifolds satisfying R ( X , Y ) · R = 0 , II, Global versions, Geom. Dedicata 19 (1985), 65-108. (1985) MR0797152

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