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Cheng, Xinyue, Cheng, Hong, Zhang, Xibin. (1401). Some volume comparison theorems on Finsler manifolds of weighted Ricci curvature bounded below. سامانه مدیریت نشریات علمی, 3(2), 1-12. doi: 10.22098/jfga.2022.11723.1072
Xinyue Cheng; Hong Cheng; Xibin Zhang. "Some volume comparison theorems on Finsler manifolds of weighted Ricci curvature bounded below". سامانه مدیریت نشریات علمی, 3, 2, 1401, 1-12. doi: 10.22098/jfga.2022.11723.1072
Cheng, Xinyue, Cheng, Hong, Zhang, Xibin. (1401). 'Some volume comparison theorems on Finsler manifolds of weighted Ricci curvature bounded below', سامانه مدیریت نشریات علمی, 3(2), pp. 1-12. doi: 10.22098/jfga.2022.11723.1072
Cheng, Xinyue, Cheng, Hong, Zhang, Xibin. Some volume comparison theorems on Finsler manifolds of weighted Ricci curvature bounded below. سامانه مدیریت نشریات علمی, 1401; 3(2): 1-12. doi: 10.22098/jfga.2022.11723.1072

Some volume comparison theorems on Finsler manifolds of weighted Ricci curvature bounded below

Journal of Finsler Geometry and its Applications
دوره 3، شماره 2، اسفند 2022، صفحه 1-12    اصل مقاله (106.24 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2022.11723.1072
نویسندگان
Xinyue Cheng* ؛ Hong Cheng؛ Xibin Zhang
School of Mathematical Sciences, Chongqing Normal University, Chongqing, China
چکیده
This paper mainly studies the volume comparison in Finsler geometry under the condition that the weighted Ricci curvature Ric∞ has a lower bound. By using the Laplacian comparison theorems of distance function, we characterize the growth ratio of the volume coefficients. Further, some volume comparison theorems of Bishop-Gromov type are obtained.
کلیدواژه‌ها
: volume comparison؛ the weighted Ricci curvature؛ Laplacian comparison theorem؛ distance function؛ volume coefficient
مراجع
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