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Yar Ahmadi, Mohamad, Hedayatian, Sina. (1404). Finite topological type of complete gradient shrinking GRF system solitons. سامانه مدیریت نشریات علمی, (), 123-129. doi: 10.22098/jfga.2025.18311.1182
Mohamad Yar Ahmadi; Sina Hedayatian. "Finite topological type of complete gradient shrinking GRF system solitons". سامانه مدیریت نشریات علمی, , , 1404, 123-129. doi: 10.22098/jfga.2025.18311.1182
Yar Ahmadi, Mohamad, Hedayatian, Sina. (1404). 'Finite topological type of complete gradient shrinking GRF system solitons', سامانه مدیریت نشریات علمی, (), pp. 123-129. doi: 10.22098/jfga.2025.18311.1182
Yar Ahmadi, Mohamad, Hedayatian, Sina. Finite topological type of complete gradient shrinking GRF system solitons. سامانه مدیریت نشریات علمی, 1404; (): 123-129. doi: 10.22098/jfga.2025.18311.1182

Finite topological type of complete gradient shrinking GRF system solitons

Journal of Finsler Geometry and its Applications
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 26 آبان 1404    اصل مقاله (269.51 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2025.18311.1182
نویسندگان
Mohamad Yar Ahmadi* 1؛ Sina Hedayatian2
1Department of mathematics, Faculty of mathematics and computers sciences, Shahid Chamran University of Ahvaz, Ahvaz, Iran
2Department of Mathematics, Faculty of Mathematical and Computer Sciences, Shahid Chamran University of Ahvaz, Ahvaz, Iran
چکیده
This paper investigates the properties and topological implications of gradient shrinking general Ricci flow (GRF) system solitons. A GRF system soliton is a solution that evolves through a one-parameter family of diffeomorphisms or scaling transformations. Under specific geometric constraints, such as bounded Ricci curvature or positive injectivity radius, we establish a lower bound for the potential function associated with these solitons. Furthermore, we demonstrate that any complete gradient shrinking GRF system soliton exhibits finite topological type. These results extend the understanding of geometric flows, linking them to broader applications in differential geometry and topology.
کلیدواژه‌ها
General Ricci flow؛ soliton؛ shrinking؛ finite topological type
مراجع
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