ON f-KENMOTSU MANIFOLDS ADMITTING SCHOUTEN-VAN KAMPEN CONNECTION
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
In the present paper, we study three-dimensional f-Kenmotsu manifolds admitting the Schouten-Van Kampen connection. We study the concircular curvature tensor of a three-dimensional f-Kenmotsu manifold with respect to the Schouten-Van Kampen connection. Finally, we have cited an example of a three-dimensional f-Kenmotsu manifold admitting Schouten-Van Kampen connection which verify our results.
Abstract
In the present paper, we study three-dimensional f-Kenmotsu manifolds admitting the Schouten-Van Kampen connection. We study the concircular curvature tensor of a three-dimensional f-Kenmotsu manifold with respect to the Schouten-Van Kampen connection. Finally, we have cited an example of a three-dimensional f-Kenmotsu manifold admitting Schouten-Van Kampen connection which verify our results.
참고문헌 (19)
- E. Boeckx, "φ-symmetric contact metric spaces", Glasgow Math. J, 52, pp.97~112 (2005)
- A. Bejancu, "Schouten-van Kampen and Vranceanu connections on Foliated manifolds, Anale S¸tintifice Ale Universitati.”AL. I. CUZA’ IASI", Tomul LII, Mathematica, pp.37~60 (2006)
- U. C. De, "φ-Ricci symmetric Sasakian manifolds", Proceedings of the Janjeon Mathematical Society, 11, pp.47~52 (2008)
- G. Ghosh, "On Schouten-van Kampen connection in Sasakian manifolds", Boletim da Sociedade Paranaense de Mathematica, 36, pp.171~182 (2018)
- D. Janssens, "Almost contact structures and curvature tensors", Kodai Math. J, 4, pp.1~27 (1981)
- W. Kuhnel, "Conformal transformatons between Einstein spaces, Conformal geometry", pp.105~146 (1988), Friedr. Vieweg
- D. L. Kiran Kumar, "Some curvature properties of Kenmotsu manifolds with Schouten-van Kampen connection", Bull. of the Transilvania Univ. of Brasov., Series III: Math. Informatics, Phys, 2, pp.351~364 (2019)
- K. Kenmotsu, "A class of almost contact Riemannian manifolds", Tohoku math. J, 24, pp.93~103 (1972)
- A. Kazan, "Trans-Sasakian manifolds with Schouten-Van Kampen connection", Ilirias J. of Math, 7, pp.1~12 (2018)
- H. G. Nagaraja, "Kenmotsu manifolds admitting Schouten-van Kampen connection", Facta Univ. Series : Math. and Informations, 34, pp.23~34 (2019)
- Z. Olszak, "Locally conformal almost cosymplectic manifolds", Colloq. Math, 57, pp.73~87 (1989)
- Z. Olszak, "Normal locally conformal almost cosymplectice manifolds", Publ. Math, 39, pp.315~323 (1991)
- Z. Olszak, "The Schouten-Van Kampen affine connection adapted to an almost(para)contact metric structure", Publications Delinstitut Mathematique, 94, pp.31~42 (2013)
- Y. S. Perktas, "On f-Kenmotsu 3-manifolds with respect to the Schouten-van Kampen connection", Turkis J. of Math, 45, pp.387~409 (2021)
- A. F. Solov’ev, "On the curvature of the connection induced on a hyperdistribution in a Riemann-ian space", Geom. Sb, 19, pp.12~23 (1978)
- K. Yano, "Concircular geometry I. concircular transformations", Proc. Inst. Acad. Tokyo, 16, pp.195~200 (1940)
- K. Yano, "Curvature and Betti numbers" (1953), Princeton university press
- A. Yildiz, "On 3-dimensional f-Kenmotsu manifolds and Ricci soliton", Ukrainian J. Math, 65, pp.620~628 (2013)
- A. Yildiz, "f-Kenmotsu manifolds with the Schouten-Van Kampen connection", Pub. De L’institut Math, 102(116), pp.93~105 (2017)
