본문 바로가기
KERD
논문KCI 등재

$\eta$-parallel H-contact 3-manifolds

2

조회

0

다운로드

1

인용

0

참고문헌

키워드

주제분류수학

초록

In this paper, we give a local and global classification of 3-dimensional H-contact manifolds whose Ricci tensor is $\eta$-parallel.

Abstract

In this paper, we give a local and global classification of 3-dimensional H-contact manifolds whose Ricci tensor is $\eta$-parallel.

참고문헌 (12)

  1. D. E. Blair, "Riemannian Geometry of Contact and Symplectic Manifolds, second edition, Progress in Mathematics, 203" (2010), Birkhauser Boston, Inc.
  2. D. E. Blair, "Three-dimensional locally symmetric contact metric manifolds", Boll. Un. Mat. Ital. A (7), 4(3), pp.385~390 (1990)
  3. E. Boeckx, "Locally symmetric contact metric manifolds", Monatsh. Math., 148(4), pp.269~281 (2006)[DOI]
  4. Jong Taek Cho, "η-parallel contact 3-manifolds", 대한수학회보, 46(3), pp.577~589 (2009), 대한수학회
  5. J. T. Cho, "Conformally flat contact three-manifolds", J. Aust. Math. Soc., 103(2), pp.177~189 (2017)[DOI]
  6. T. Koufogiorgos, "The harmonicity of the Reeb vector field on contact metric 3-manifolds", Pacific J. Math., 234(2), pp.325~344 (2008)[DOI]
  7. J. Milnor, "Curvatures of left invariant metrics on Lie groups", Advances in Math., 21(3), pp.293~329 (1976)[DOI]
  8. D. Perrone, "Homogeneous contact Riemannian three-manifolds", Illinois J. Math., 42(2), pp.243~256 (1998)
  9. D. Perrone, "Weakly <TEX>$\phi$<", TEX>-symmetric contact metric spaces, 2002, pp.7(2), 67~77
  10. D. Perrone, "Contact metric manifolds whose characteristic vector field is a harmonic vector field", Differential Geom. Appl., 20(3), pp.367~378 (2004)[DOI]
  11. T. Takahashi, "Sasakian <TEX>$\phi$<", TEX>-symmetric spaces, 1977, pp.29(1), 91~113
  12. S. Tanno, "Variational problems on contact Riemannian manifolds", Trans. Amer. Math. Soc., 314(1), pp.349~379 (1989)[DOI]

관련 논문AI추천

이 간행물의 다른 논문 (22건)