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η-parallel contact 3-manifolds

Ji-Eun Lee|Jong Taek Cho
대한수학회 (The Korean Mathematical Society)|2009.05|대한수학회보 (Bulletin of the KMS)|제46권 제3호|pp. 577-589

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참고문헌

키워드

contact 3-manifoldsη-parallel Ricci tensorscritical metrics
주제분류수학

초록

In this paper, we give a classification of contact 3-manifolds whose Ricci tensors are η-parallel.

Abstract

In this paper, we give a classification of contact 3-manifolds whose Ricci tensors are η-parallel.

참고문헌 (16)

  1. D. E. Blair, "Riemannian Geometry of Contact and Symplectic Manifolds, Progress in Mathematics", pp.203~ (2002), Birkhauser Boston, Inc
  2. D. E. Blair, "Critical associated metrics on contact manifolds", J. Austral. Math. Soc. Ser. A, 37(1), pp.82~88 (1984)
  3. D. E. Blair, "When is the tangent sphere bundle locally symmetric?, Geometry and topology", pp.15~30 (1989), World Sci. Publishing
  4. D. E. Blair, "A classification of 3-dimensional contact metric manifolds with QÁ = ÁQ", Kodai Math. J., 13(3), pp.391~401 (1990)
  5. D. E. Blair, "Three-dimensional locally symmetric contact metric manifolds", Boll. Un. Mat. Ital. A, 4(3), pp.385~390 (1990)
  6. D. E. Blair, "Symmetries and Á-symmetric spaces", Tohoku Math. J., 39(3), pp.373~383 (1987)
  7. E. Boeckx, "Locally symmetric contact metric manifolds", Monatsh. Math, 148(4), pp.269~281 (2006)
  8. E. Boeckx, "Á-symmetric contact metric spaces", Glasg. Math. J., 41(3), pp.409~416 (1999)
  9. G. Calvaruso, "Homogeneity on three-dimensional contact metric manifolds", Israel J. Math., 114, pp.301~321 (1999)
  10. S. S. Chern, "On Riemannian metrics adapted to three-dimensional contact manifolds, With an appendix by Alan Weinstein. Lecture Notes in Math", Workshop Bonn 1984, 통권 : 1111, pp.279~308 (1985), Springer
  11. F. Gouli-Andreou, "On 3-dimensional contact metric manifolds with r»¿ = 0", J. Geom., 62(1), pp.154~165 (1998)
  12. J. Milnor, "Curvatures of left invariant metrics on Lie groups", Advances in Math, 21(3), pp.293~329 (1976)
  13. D. Perrone, "Kodai Math. J", 88–100., 13(1), pp.88~100 (1990)
  14. D. Perrone, "Weakly Á-symmetric contact metric spaces", Balkan J. Geom, 7(2), pp.67~77 (2002)
  15. T. Takahashi, "Sasakian Á-symmetric spaces", Tohoku Math. J., 29(1), pp.91~113 (1977)
  16. S. Tanno, "Variational problems on contact Riemannian manifolds", Trans. Amer. Math. Soc, 314(1), pp.349~379 (1989)

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