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Symmetry Properties of 3-dimensional D'Atri Spaces

Mohamed Belkhelfa|Ryszard Deszcz|Leopold Verstraelen
경북대학교 자연과학대학 수학과|2006.09|Kyungpook Mathematical Journal|제46권 제3호|pp. 367-376

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Abstract

We investigate semi-symmetry and pseudo-symmetry of some 3-dimensional Riemannian manifolds: the D’Atri spaces, the Thurston geometries as well as the ´- Einstein manifolds. We prove that all these manifolds are pseudo-symmetric and that many of them are not semi-symmetric.

참고문헌 (19)

  1. "On Legendre curves in contact 3-dimensional manifolds", 49, pp.135~ (1994)
  2. "On some type of curvature conditions", 57, pp.179~194 (2002), Banach Center Publ.
  3. "Contact manifolds in Riemannian Geometry Lecture Notes in Math.", 509 (1976), Springer-Verlag
  4. "A classication of 3-dimensional contactmetric manifolds withQ = Q", pp.391~401 (1990)
  5. "Rend. Mat. Appl Ser.", 9 4, pp.607~624 (1989)
  6. "So(2)-invariant minimal and constant mean cur-vature surfaces in3-dimensional homogeneous spaces", 87, pp.1~12 (1995)
  7. "Divergence preserving geodesic symmetries", 3, pp.467~476 (1969)
  8. "Bull. Soc. Math. Belg.", 44 ser. a, pp.134~ (1992)
  9. "Curvature proprerties of certain compact pseudosymmetric manifolds", 65, pp.139~147 (1993)
  10. "On pseudosymmetric manifolds", (34) (1995)
  11. R. Deszcz, "On the equivalence of Ricci-semisymmetry and semisymmetry", (64) (1998), Dept.Math., Agricultural Univ. Wroclaw, Ser. A
  12. "Minimal surfaces in 3-dimensional solvable Lie groups", 24B, pp.73~84 (2003)
  13. "Space with volume preserving symmetries and related classes of Rieman-nian manifolds", fasc. spec., pp.131~159 (1983)
  14. "Conformal atness and self-duality of Thurston-geometries", 4, pp.1165~1172 (1998)
  15. "Semi-Riemannian Geometry with Applications to Relativity" (1983), AcademicPress
  16. "Torsion and critical metrics on contact three-manifolds", pp.88~ (1990)
  17. "The geometries of 3-manifolds", 15, pp.401~487 (1983)
  18. "Three-dimensional Geometry and Topology", 1 (1997), Princeton University Press
  19. "Comments on pseudo-symmetry in sense of R. Deszcz Geometryand Topology of Submanifolds" (1994)

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