TY - CONF EP - 594 A1 - Abdul Karim, S.A. A1 - Nguyen, V.T. UR - https://www.scopus.com/inward/record.uri?eid=2-s2.0-85123315350&doi=10.1007%2f978-981-16-4513-6_51&partnerID=40&md5=d275c8c6041c8823240f28672a6cb5ed PB - Springer Science and Business Media B.V. SN - 22138684 Y1 - 2021/// TI - On the Space of m-subharmonic Functions SP - 587 ID - scholars15526 N1 - cited By 0; Conference of 6th International Conference on Fundamental and Applied Sciences, ICFAS 2020 ; Conference Date: 13 July 2021 Through 15 July 2021; Conference Code:270909 N2 - In this study, we investigate the space of m-subharmonic functions. We introduce the Mabuchi space of strictly m-subharmonic functions in an m-hyperconvex domain. We also study the metric properties of this space using Mabuchi geodesics. Some theoretical results are given in this study. We prove the connection between geodesics and homogeneous Hessian equations. The main result is important in the geometry of m-subharmonic functions. © 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. AV - none ER -