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arXiv · 2509.00606

Spiraling conformal geodesics

Wojciech Kamiński
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Abstract

In this short note, we construct an example of spiraling conformal geodesic in Euclidean signature in dimension $3$, answering the question posed by Helmuth Friedrich and Paul Tod, if such objects exists. Our example is not real analytic, but similar constructions can lead also to real analytic metrics in arbitrary dimensions.

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Wojciech Kamiński. 2025-08-30. Spiraling conformal geodesics. https://arxiv.org/abs/2509.00606

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