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Open Access Research Article

Solitons on Kenmotsu manifolds

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pp. 1175–1183Vol. 27Issue 5August 2024DOI: 10.47974/JIM-1949XML
Received:
13 Mar 2024
Published Online:
30 Aug 2024
Article type:
Research Article
Language:
EN
Article no.:
JIM-1949
Pages:
1175–1183

Abstract

In this article properties of solitons on Kenmotsu manifolds with Da-homothetic deformation and Schouten-van Kampen connection are discussed.

Keywords

Subject Classifications

(2020) 53C1553C25

References

[1] J. Schouten E. Van Kampen, Zur Einbettungs-und Krümmungstheorie nichtholonomer Gebilde, math. Ann. 103, 752-783 (1930). 
[2] A. F. Solov’ev, On the curvature of the connection induced on a hyperdistribution in a Riemannian space Geom. sb. 19 , 12-23 (1978). 
[3] A. F. Solov’ev, The bending of hyperdistribution,Geom. sb 20, 101-112 (1979). 
[4] A. F. Solov’ev, Curvature of a distribution, Math Zametki, 35, 111-124 (1984). 
[5] Z. Olszak, The Schouten-van Kampen affine connection adapted to an almost (para) contact metric structure, publ. Inst. math, Nouv . ser. 94(108), 31-42 (2013). 
[6] S. Y. Pertkta, A. Yildiz, On Quasi-Sasakian 3 manifold with respect to the Schouten-van Kampen connection, Int. Electron J. Geom, 13(2), 62-74 (2020). 
[7] S. Y. Pertkta, A. Yildiz, On f-Kenmotsu 3-manifolds with respect to the Schouten-van Kampen connection, Turk. J. Math. 45(1), 387-409 (2021). 
[8] A. Yildiz, On f-Kenmotsu manifolds with the Schouten-van Kampen connection, Publ. Inst. Math, Nouv. Ser. 102(116), 93-105 (2017). 
[9] S. Tanno, Quasi-Sasakian structure of rank 2p+1, J. Differ. Geom. 5, 317-324 (1971). 
[10] D. E. Blair, Contact manifold in Riemannian geometry, Lect Notes. Math. 509, Spring Verlag, Berlin-New York, (1976). 
[11] K. Kenmotsu, A class of almost contact Riemannian Manifold, Tohoku Math. J. 24, 93-103 (1972).
[12] D. Janssens, L. Vanhecke, Almost contact structures and curvature tensors, Kodai Math. J. 1, 1-27 (1981). 
[13] S. Shukla, On recurrent lightlike hypersurfaces of Kenmotsu manifold, South East Asi. J. math & math. sci, 18(3), 161-170 (2022). 
[14] R. S. Hamilton, The Ricci flow on surface, Mathematics and genral relativity(Santa cruz., 1986), contemp. Math. 71, Am. Math. Soc.,  273-262 (1988).  
[15] J. C. Cho, M. Kimura, Ricci soliton and real hypersurfaces in a complex space form, Tohoku Math. J. (2)61(2), 205-212 (2009). 
[16] H. D. Cao, X. Sun, Y. Zhang, On the structure of gradient Yamabe soliton, Math. Res. Lett. 19, 767-774 (2012). 
[17] E. Barbosa, E. Ribrio, On conformal solution of the Yamabe flow, Arch. Math. 101, 79-89 (2013). 
[18] B. L. Neto, A note on (anti)-selfdual quasi Yamabe gradient soliton, Result. Math. 71, 527-533 (2017).
[19] B. Y. Chen, S. Deshmukh, Yamabe and quasi Yamabe soliton on Euclidean submanifold, Mediterr. J. Math. 15(5), 194 (2018). 
[20] M. Tarun, U. C. De and A. Yildiz, Ricci solitons and gradient Ricci solitons in 3-dimensional trans-Sasakian manifolds, University of Nis, Faculty of Science and Mathematics 26(2), 363-370 (2012). 
[21] J. H. Park, Spectral geometry of eta-Einstein Sasakian manifolds, J. Geo and Phy. 62, 2140-2146 (2012). 
[22] G. Ghose, U. C. De, Generalized Ricci solitons on K-contact manifolds, Mathematical Science and Applications E-Notes, 165-169 (2020).

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