On Quasi-Sasakian Manifolds

ISSN: 2645-8845
Yayın Aralığı: Yılda 4 Sayı
Başlangıç: 2018
Yayıncı: Fuat USTA

In this paper we study three-dimensional quasi-Sasakian manifolds admitting the Schouten-van Kampen connection. Also, we study D-homothetic deformations on three-dimensional quasi-Sasakian manifolds admitting Schouten-van connection and projectively flat three-dimensional quasi-Sasakian manifolds admitting scv connection.

Keywords:

Quasi-Sasakian manifolds Schouten-van Kampen connection, $% \mathcal{D}_{\alpha }$-homothetic deformation,

PDF

___

[1] D. E. Blair, The theory of quasi-Sasakian structure, J. Differential Geo., 1(3-4) (1967), 331-345.
[2] S. Tanno, Quasi-Sasakian structure of rank 2p+1, J. Differential Geom., 5(3-4) (1971), 317-324.
[3] Z. Olszak, On three dimensional conformally flat quasi-Sasakian manifolds, Period Math. Hungar., 33(2) (1996), 105-113.
[4] Z. Olszak, The Schouten-van Kampen affine connection adapted an almost (para) contact metric structure, Publ. De L’inst. Math., 94(108) (2013), 31-42.
[5] A. Yıldız, f-Kenmotsu manifolds with the Schouten-van Kampen connection, Publ. De L’Inst. Math., 102(116) (2017), 93-105.
[6] D. E. Blair, Contact Manifolds in Riemannian Geometry, Lecture Notes in Mathematics Vol. 509, Springer-Verlag, Berlin-New York, 1976.
[7] D. E. Blair, Riemannian Geometry of Contact and Symplectic Manifolds, Progress in Mathematics, Vol. 203, Birkh¨auser, Boston, 2002.
[8] K. Yano, M. Kon, Structures on Manifolds, World Scientific, 1984.
[9] Z. Olszak, Normal almost contact metric manifolds of dimension 3, Ann. Polon. Math., 1(47) (1986), 41-50.
[10] D. Janssens, L. Vanhecke, Almost contact structures and curvature tensors, Kodai Math. J., 4(1) (1981), 1-27.