The Gaussian Minkowski-type problems for $C$-pseudo-cones

Published 27 Jan 2025 in math.MG and math.PR | (2501.16449v3)

Abstract: The Gaussian surface area measure and the Gaussian cone measure for $C$-pseudo-cones are introduced and their corresponding Gaussian Minkowski problem and Gaussian log-Minkowski problem are proposed, respectively. The existence and uniqueness of solutions to these problems for $C$-pseudo-cones are established.

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