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Isoperimetric inequalities under bounded integral norms of Ricci curvature and mean curvature


Author: Seong-Hun Paeng
Journal: Proc. Amer. Math. Soc. 146 (2018), 1309-1323
MSC (2010): Primary 53C20, 53C21
DOI: https://doi.org/10.1090/proc/13813
Published electronically: October 5, 2017
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Abstract: We obtain isoperimetric inequalities under bounded integral norms of Ricci curvature and mean curvature. Also we generalize the results to metric-measure spaces.


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Seong-Hun Paeng
Affiliation: Department of Mathematics, Konkuk University, 1 Hwayang-dong, Gwangjin-gu, Seoul 143-701, Republic of Korea
Email: shpaeng@konkuk.ac.kr

DOI: https://doi.org/10.1090/proc/13813
Keywords: Isoperimetric inequality, Ricci curvature, mean curvature
Received by editor(s): November 23, 2016
Received by editor(s) in revised form: May 10, 2017
Published electronically: October 5, 2017
Additional Notes: This research was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2016R1D1A1B03931459).
Communicated by: Guofang Wei
Article copyright: © Copyright 2017 American Mathematical Society

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