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On Milnor's criterion for deciding whether a surface is hyperbolic or parabolic for biharmonic functions

Published 7 Feb 2025 in math.DG and math.AP | (2502.05249v1)

Abstract: In this paper we generalise a celebrated result of Milnor that characterises whether a rotationally symmetric surface is parabolic or hyperbolic to the case of biharmonic functions.

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