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Mondal, Ashis. (1404). Quater-symmetric metric connection on f-Kenmotsu manifolds. سامانه مدیریت نشریات علمی, 6(2), 120-131. doi: 10.22098/jfga.2025.17098.1155
Ashis Mondal. "Quater-symmetric metric connection on f-Kenmotsu manifolds". سامانه مدیریت نشریات علمی, 6, 2, 1404, 120-131. doi: 10.22098/jfga.2025.17098.1155
Mondal, Ashis. (1404). 'Quater-symmetric metric connection on f-Kenmotsu manifolds', سامانه مدیریت نشریات علمی, 6(2), pp. 120-131. doi: 10.22098/jfga.2025.17098.1155
Mondal, Ashis. Quater-symmetric metric connection on f-Kenmotsu manifolds. سامانه مدیریت نشریات علمی, 1404; 6(2): 120-131. doi: 10.22098/jfga.2025.17098.1155

Quater-symmetric metric connection on f-Kenmotsu manifolds

Journal of Finsler Geometry and its Applications
دوره 6، شماره 2، اسفند 2025، صفحه 120-131    اصل مقاله (276.76 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2025.17098.1155
نویسنده
Ashis Mondal*
Department of Mathematics, Jangipur College, Jangipur-742213 Murshidabad, West Bengal, India
چکیده
In this paper, we study projectively flat and conharmonically flat three-dimensional f-Kenmotsu manifolds with respect to quater-symmetric metric connection. Also, we consider η-Ricci solitons of a three-dimensional f-Kenmotsu manifold with respect to quater-symmetric metric connection. Finally, we have cited an example which varifies the Theorem 5.1.
کلیدواژه‌ها
f-Kenmotsu manifolds؛ η-Ricci soliton؛ projectively flat؛ conhrarmonically flat؛ η-Einstein manifold
مراجع
 1. Z. Ahsan, Tensors: Mathematics of Diffential Geometry and Relativity, PHI Learning Pvt. Ltd., Delhi, December 2017, Second Printing.
2. S. Ali and R. Nivas, On submanifolds immersed in a manifold with quarter symmetricconnection, Rivista di Matematica della Universit`a di Par. 6(3) (2000), 11-23.
3. G. Ayar and M. Yildirim, η-Ricci solitons on nearly Kenmotsu manifolds, AsianEuropean J. of Math. 12(6) (2019), 2040002 (8 pages).
4. S. C. Biswas and U.C. De, Quarter-symmetric metric connection in an SP-Sasakianmanifold, Communications, Faculty of Sciences. University of Ankara Series A., 46(1997),49-56.
5. A. M. Blaga, η-Ricci solitons on para-Kenmotsu manifolds, Balkan J. Geom. Appl. 20(1)(2015), 1-13.
6. A. M. Blaga, η-Ricci solitons on Lorentzian para-Sasakian manifolds, Filomat., 30(2)(2016), 489{496.
7. C. Cˇalin and M. Crasmareanu, η-Ricci solitons on Hopf hypersurfaces in complex space forms, Revue Roumaine Math. pures Appl. 57(1) (2012), 55{63.
8. B. Chow, P. Lu and I. Ni, Hamilton’s ricci flow, Graduate Studies in Mathematics, 77,AMS, Providence, RI, USA, 2006.
9. J.T. Cho and M. Kimura, Ricci solitons and real hypersurfaces in complex space form,Tohoku Math. J. 61(2) (2009), 205{212.
10. S. Deshmukh, Jacobi-type vector fields on Ricci solitons, Bull. Math. Soc. Sci. Math.Rouma. 55(1) (2012), 41{50.
11. S. Deshmukh, H. Alodan and H. Al-Sodais , A note on Ricci solitons, Balkan J. Geom.Appl. 16(1) (2011), 48{55.
12. A. Friedman and J. A. Schouten, Uber die Geometrie der halbsymmetrischen Ubertragung, Math. Zeitschr. 21(1924), 211{223.
13. U. K. Gautam, A. Haseeb and R. Prasad, Some results on projective curvature tensor in Sasakian manifolds, Commun. Korean Math. Soc. 34(3) (2019), 881{896.
14. S. Golab, On semi-ymmetric and quater-symmetric linear connections, Tensor N. S.29(1975), 249{254.
15. R. S. Hamilton, The Ricci flow on surfaces, Math. and general relativity (Santa Cruz,CA, 1986), Contemp. Math. 71(1988), 237-262.
16. T. Ivey, Ricci solitons on compact three-manifolds, Differential Geom. Appl. 3(4) (1993),301{307.
17. D. Janssens and L. Vanheck , Almost contact structures and curvature tensors, Kodai Math. J. 4(1981), 1{27.
18. K. Kenmotsu, A class of almost contact Riemannian manifolds, Tohoku math. J. 24(2) (1972), 93{103.
19. R. S. Mishra and S. N. Pandey, On quarter symmetric metric F-connections, Tensor:New Seri. 34(1) (1980), 1-7.
20. S. Mukhopadhyay, A. K. Roy and B. Barua, Some properties of a quarter symmetric metric connection on a Riemannian manifold, Soochow Journal of Math. 17(1991), 205-211.
21. Z. Olszak, Locally conformal almost cosymplectic manifolds, Colloq. Math. 57(1) (1989),73{87.
22. Z. Olszak and R. Rosca, Normal locally conformal almost cosymplectice manifolds, Publ. Math. Debrecen., 39(3) (1991), 315{323.
23. D. G. Prakasha and B. S. Hadimani, Ricci solitons on Lorentzian para-Sasakian manifolds, J. Geom.DOI:10.1007/s00022-016-0345-z.
24. R. Prasad, A. Haseeb and U. K. Gautam, On three dimensional f-Kenmotsu manifolds with a certain connection, Global J. Advd. Res. Class. Mod. Geom. 10(1) (2021), 91{101.
25. A. Sarkar and N. Biswas, On f-Kenmotsu manifolds and their submanifolds with quatersymmetric metric metric connection, Facta Univ. (Nis) Ser. Math. Inform. 35(4) (2020),1017{1030.
26. K. Yano and T. Imai, Quarter-symmetric metric connections and their curvature tensors,Tensor: New Series. 38(1982), 13-18.
27. K. Yano and M. Kon, Structures on Manifolds, Series in Pure Math., Vol. 3, World Sci.Publishing Co., Singapore, 1984.
28. A. Yildiz, U. C. De and M. Turan, On 3-dimensional f-Kenmotsu manifolds and Ricci solitons, Ukrainian J. Math. 65(5) (2013), 620-628. 

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