On the geodesics of the Szeg\"o metric

Anjali Bhatnagar

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arXiv · 2501.04384

On the geodesics of the Szeg\"o metric

Anjali Bhatnagar

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Abstract

We explore the existence of closed geodesics and geodesic spirals for the Szeg\"o metric in a $C^{\infty}$-smoothly bounded strongly pseudoconvex domain $\Omega\subset\mathbb{C}^n$, which is not simply connected for $n \geq 2$.

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Anjali Bhatnagar. 2025-01-08. On the geodesics of the Szeg\"o metric. https://arxiv.org/abs/2501.04384

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