Commun. Korean Math. Soc. 2022; 37(3): 839-849
Online first article May 13, 2022 Printed July 31, 2022
https://doi.org/10.4134/CKMS.c210097
Copyright © The Korean Mathematical Society.
Shahroud azami, Sakineh Hajiaghasi
Imam Khomeini International University; Imam Khomeini International University
In this paper we consider a condition on the Ricci curvature involving vector fields which enabled us to achieve new results for volume comparison and Laplacian comparison. These results in special case obtained with considering volume non-collapsing condition. Also, by applying this condition we get new results of volume comparison for almost Ricci solitons.
Keywords: Volume comparison, Bakry-'{E}mery Ricci curvature
MSC numbers: 53C21, 58C25
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