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- W1567447319 abstract "We employ Riemannian jets which are adapted to the Riemannian geometry to obtain the existence-uniqueness of infinite harmonic functions in Riemannian spaces. We then show such functions are equivalent to those that enjoy comparison with Riemannian cones. Using comparison with cones, we show that the Riemannian distance is a supersolution to the infinite Laplace equation, but is not necessarily a solution. We find some geometric conditions under which the Riemannian distance is infinite harmonic and under which it fails to be infinite harmonic." @default.
- W1567447319 created "2016-06-24" @default.
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- W1567447319 date "2009-04-07" @default.
- W1567447319 modified "2023-09-23" @default.
- W1567447319 title "Properties of infinite harmonic functions relative to Riemannian vector fields" @default.
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