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)
- D. E. Blair, "Riemannian Geometry of Contact and Symplectic Manifolds, second edition, Progress in Mathematics, 203" (2010), Birkhauser Boston, Inc.
- D. E. Blair, "Three-dimensional locally symmetric contact metric manifolds", Boll. Un. Mat. Ital. A (7), 4(3), pp.385~390 (1990)
- E. Boeckx, "Locally symmetric contact metric manifolds", Monatsh. Math., 148(4), pp.269~281 (2006)[DOI]
- Jong Taek Cho, "η-parallel contact 3-manifolds", 대한수학회보, 46(3), pp.577~589 (2009), 대한수학회
- J. T. Cho, "Conformally flat contact three-manifolds", J. Aust. Math. Soc., 103(2), pp.177~189 (2017)[DOI]
- T. Koufogiorgos, "The harmonicity of the Reeb vector field on contact metric 3-manifolds", Pacific J. Math., 234(2), pp.325~344 (2008)[DOI]
- J. Milnor, "Curvatures of left invariant metrics on Lie groups", Advances in Math., 21(3), pp.293~329 (1976)[DOI]
- D. Perrone, "Homogeneous contact Riemannian three-manifolds", Illinois J. Math., 42(2), pp.243~256 (1998)
- D. Perrone, "Weakly <TEX>$\phi$<", TEX>-symmetric contact metric spaces, 2002, pp.7(2), 67~77
- D. Perrone, "Contact metric manifolds whose characteristic vector field is a harmonic vector field", Differential Geom. Appl., 20(3), pp.367~378 (2004)[DOI]
- T. Takahashi, "Sasakian <TEX>$\phi$<", TEX>-symmetric spaces, 1977, pp.29(1), 91~113
- S. Tanno, "Variational problems on contact Riemannian manifolds", Trans. Amer. Math. Soc., 314(1), pp.349~379 (1989)[DOI]
관련 논문AI추천
η-parallel contact 3-manifoldsJi-Eun Lee, Jong Taek Cho대한수학회 · 대한수학회보2009 · 제46권 제3호A note on almost contact Riemannian 3-manifolds IIJun-ichi Inoguchi대한수학회 · 대한수학회보2017 · 제54권 제1호On the $\eta$-parallelism in almost Kenmotsu $3$-manifolds이지은, Jun-ichi Inoguchi대한수학회 · 대한수학회지2023 · 제60권 제6호Homogeneity and symmetry on almost Kenmotsu $3$-manifoldsYaning Wang대한수학회 · 대한수학회지2019 · 제56권 제4호THREE-DIMENSIONAL ALMOST KENMOTSU MANIFOLDS WITH η-PARALLEL RICCI TENSORYaning Wang대한수학회 · 대한수학회지2017 · 제54권 제3호Remarks on 3-dimensional contact metric manifolds박정형, J. E. Jin, K. Sekigawa장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제1호
이 간행물의 다른 논문 (22건)
On generalized Krull power series ringsPhan Thanh Toan, Le Thi Ngoc Giaupp. 1007-1012Morphisms of varieties over ample fieldsMoshe Jarden, Wulf-Dieter Geyer, Lior Bary-Sorokerpp. 1023-1035A note on the units of Mantaci-Reutenauer algebraHimmet Can, Hasan Arslanpp. 1037-1049Real polyhedral products, Moore's conjecture, and simplicial actions on real toric spaces김진홍pp. 1051-1063Approximate controllability of second-order nonlocal impulsive functional integro-differential systems in Banach spacesSelvaraj Suganya, Dumitru Baleanu, Mani Mallika Arjunan, Mahalingam Nagarajpp. 1065-1092
