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Pahan, Sampa. (1404). h-Almost conformal Ricci-Bourguignon soliton on generalized Sasakian space form with respect to quarter-symmetric metric connection. سامانه مدیریت نشریات علمی, 6(1), 125-144. doi: 10.22098/jfga.2025.16932.1151
Sampa Pahan. "h-Almost conformal Ricci-Bourguignon soliton on generalized Sasakian space form with respect to quarter-symmetric metric connection". سامانه مدیریت نشریات علمی, 6, 1, 1404, 125-144. doi: 10.22098/jfga.2025.16932.1151
Pahan, Sampa. (1404). 'h-Almost conformal Ricci-Bourguignon soliton on generalized Sasakian space form with respect to quarter-symmetric metric connection', سامانه مدیریت نشریات علمی, 6(1), pp. 125-144. doi: 10.22098/jfga.2025.16932.1151
Pahan, Sampa. h-Almost conformal Ricci-Bourguignon soliton on generalized Sasakian space form with respect to quarter-symmetric metric connection. سامانه مدیریت نشریات علمی, 1404; 6(1): 125-144. doi: 10.22098/jfga.2025.16932.1151

h-Almost conformal Ricci-Bourguignon soliton on generalized Sasakian space form with respect to quarter-symmetric metric connection

Journal of Finsler Geometry and its Applications
دوره 6، شماره 1، مهر 2025، صفحه 125-144    اصل مقاله (312.13 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2025.16932.1151
نویسنده
Sampa Pahan*
Department of Mathematics, Mrinalini Datta Mahavidyapith, Birati, Kolkata-700051, West Bengal, India
چکیده
The purpose of the present paper is to discuss about a generalized Sasakian space form with quarter-symmetric metric connection satisfying h-almost conformal Ricci-Bourguignon soliton and h-almost conformal η-Ricci-Bourguignon soliton. Here, we have evolved the nature of h-almost conformal Ricci-Bourguignon soliton on a generalized Sasakian space form with quarter-symmetric metric connection when the potential vector field is to be considered as a conformal vector field, a torse-forming vector field or a torqued vector field. Then we have established that a generalized Sasakian space form with quarter-symmetric metric connection satisfying gradient h-conformal Ricci-Bourguignon soliton to turn out an Einstein manifold. Later, we have constructed Laplacian equation from h-almost conformal η-Ricci-Bourguignon soliton with quarter-symmetric metric connection when the potential vector field ξ is of gradient of a smooth function f. Finally we have examined the existence of an extended generalized φ-recurrent generalized Sasakian space form with quarter-symmetric metric connection endowing h-almost conformal η-Ricci-Bourguignon soliton.
کلیدواژه‌ها
Ricci-Bourguignon soliton؛ h-almost conformal Ricci-Bourguignon soliton؛ h-almost conformal η-Ricci-Bourguignon soliton؛ generalized Sasakian space form؛ torse-forming vector field
مراجع
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