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math.DG2025
On potentials for sub-Laplacians and geometric applications
Shiguang Ma, Jie Qing
In this paper we extend the research on potential theory and its geometric applications from Euclidean spaces to homogeneous Carnot groups. We introduce a new approach to use the g…
math.DG2025
Potential theory and applications in conformal geometry
Shiguang Ma, Jie Qing
In this paper, we want to give an exposition of our recent work on linear and nonlinear potential theory and their applications in conformal geometry. We use potential theory to st…