پیوندهای مفید
آمار
| تعداد نشریات | 31 |
| تعداد شمارهها | 443 |
| تعداد مقالات | 3,920 |
| تعداد مشاهده مقاله | 6,597,140 |
| تعداد دریافت فایل اصل مقاله | 4,400,385 |
Conformal Ricci soliton in Sasakian manifolds admitting general connection | ||
| Journal of Hyperstructures | ||
| دوره 13، شماره 1، 2024، صفحه 46-61 اصل مقاله (272.46 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2024.14940.1012 | ||
| نویسندگان | ||
| Raghujyoti Kundu1؛ Ashoke Das1؛ Ashis Biswas* 2 | ||
| 1Department of Mathematics, Raiganj University of Uttar Dinajpur, P.O.Box Raiganj, Raiganj, India | ||
| 2Department of Mathematics, Mathabhanga College of Mathabhanga, P.O.Box Mathabhanga, Coochbehar, India | ||
| چکیده | ||
| The object of the present paper is to study the Conformal Ricci soliton in Sasakian manifold admitting general connection, which is induced with quarter symmetric metric connection, generalized Tanaka Webster connection, Schouten-Van Kampen connection and Zamkovoy connection. Furthermore, we study CG-semi symmetric and CG-semi symmetric Sasakian manifolds admitting Conformal Ricci Soliton. | ||
| کلیدواژهها | ||
| Conformal Ricci soliton؛ quarter symmetric metric connection؛ Schouten-Van Kampen connection؛ Tanaka Webster connection؛ Zamkovoy connection and general connection | ||
| مراجع | ||
|
[1] N. Basu and A. Bhattacharyya, Conformal Ricci soliton in Kenmotsu manifold, Global Journal of Advanced Research on Classical and Modern Geometries, 4(1)(2015), 15-21. [2] A. E. Fischer, An Introduction to Conformal Ricci ow, Classical and Quantum Gravity, 21(3)(2004), S171-S218. [3] A. Biswas, S. Das and K.K. Baishya, On Sasakian manifolds satisfying curvature restrictions with respect to quarter symmetric metric connection, Scientific Studies and Research Series Mathematics and Informatics, 28(1) (2018), 29-40. [4] A. Biswas and K. K. Baishya, Study on generalized pseudo (Ricci) symmetric Sasakian manifold admitting general connection, Bulletin of the Transilvania University of Brasov, 12(2)(2019), 233-246. [5] A. Biswas and K.K. Baishya, A general connection on Sasakian manifolds and the case of almost pseudo symmetric Sasakian manifolds, Scienti c Studies and Research Series Mathematics and Informatics, 29(1)(2019), 59-72. [6] R. S. Hamilton, The Ricci ow on surfaces, Mathematics and general relativity, Contemp. Math., 71(1988), 237-261. [7] S. Sasaki, Lectures Notes on Almost Contact Manifolds, Part I, Tohoku University (1975). [8] J. A. Schouten and E. R. Van Kampen, Zur Einbettungs-und Krummungstheorie nichtholonomer Gebilde, Math. Ann., 103(1930), 752-783, (1930). [9] S. Tanno, The automorphism groups of almost contact Riemannian manifold, Tohoku Math. J., 21(1969), 21-38. [10] S. Zamkovoy, Canonical connections on paracontact manifolds, Ann. Global Anal. Geom., 36(1)(2008), 37-60. [11] K. Yano and M. Kon, Structures on manifolds, World Scienti c Publishing Co1984, 41, Acad. Bucharest, 2008, 249-308. [12] K.Yano and S. Bochner, Curvature and Betti numbers, Annals of Mathematics Studies 32, Princeton University Press, 1953. [13] L. P. Eisenhart, Riemannian Geometry, Princeton University Press, 1949. [14] S. Golab, On semi-symmetric and quarter-symmetric linear connections, Tensor (N.S.), 29(1975), 249-254. [15] G. Perelman, The entropy formula for the Ricci ow and its geometric applications, http://arXiv.org/abs/math/0211159, 2002, 1-39. [16] G. Perelman, Ricci ow with surgery on three manifolds, http://arXiv.org/abs/math/0303109, 2003, 1-22. | ||
|
آمار تعداد مشاهده مقاله: 369 تعداد دریافت فایل اصل مقاله: 409 |
||