Bull. Korean Math. Soc. 2023; 60(3): 623-636
Online first article May 11, 2023 Printed May 31, 2023
https://doi.org/10.4134/BKMS.b210927
Copyright © The Korean Mathematical Society.
Xiaoli Chao, Weili Wang
Southeast University; The Affiliated High School of Shenzhen University
In this paper, we prove some vanishing theorems under the assumptions of weighted BiRic curvature or $m$-Bakry-\'{E}mery-Ricci curvature bounded from below.
Keywords: Smooth metric measure spaces, weighted BiRic curvature, $m$-Bakry-\'{E}mery-Ricci curvature, $f$-minimal, harmonic form
MSC numbers: 53C24, 53C42
Supported by: This work is partially supported by the Natural Science Foundation of Jiangsu Province BK20161412.
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