
TL;DR
This paper proves the existence of a specific class of rotopulsators within the n-body problem set in spaces of constant curvature, expanding understanding of dynamical solutions in curved geometries.
Contribution
It establishes the existence of a new class of rotopulsators in curved spaces, which was previously unproven.
Findings
Existence of rotopulsators in spaces of constant curvature.
Extension of n-body problem solutions to curved geometries.
Mathematical proof of these solutions' existence.
Abstract
We prove the existence of a class of rotopulsators for the n-body problem in spaces of constant curvature of dimension k>=2.
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