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arXiv · 2208.08344

Existence of geodesic spirals for the Kobayashi--Fuks metric on planar domains

Debaprasanna Kar
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Abstract

In this note, we discuss the following problem: Given a smoothly bounded strongly pseudoconvex domain $D$ in $\mathbb{C}^n$, can we guarantee the existence of geodesics for the Kobayashi--Fuks metric which ``spiral around" in the interior of $D$? We find an affirmative answer to the above question for $n=1$ when $D$ is not simply connected.

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Debaprasanna Kar. 2022-08-17. Existence of geodesic spirals for the Kobayashi--Fuks metric on planar domains. https://doi.org/10.1007/s11785-023-01355-7

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