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Abstract <p>A pseudo-Euclidean analogue of the Euler top is considered such that the middle principal moment of inertia corresponds to the negative axis of the space. The fibers of the Liouville foliation are of direct product type, one of whose factors is always noncompact or empty. For arbitrary values of the Casimir functions, analogues of Fomenko invariants are calculated on nonsingular isoenergy or isointegral surfaces.</p>

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Invariants of Pseudo-Euclidean Euler Top with Noncompact Leaves

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • N. A. Belousov,
  • V. A. Kibkalo

摘要

Abstract

A pseudo-Euclidean analogue of the Euler top is considered such that the middle principal moment of inertia corresponds to the negative axis of the space. The fibers of the Liouville foliation are of direct product type, one of whose factors is always noncompact or empty. For arbitrary values of the Casimir functions, analogues of Fomenko invariants are calculated on nonsingular isoenergy or isointegral surfaces.