Search arXivSearch

arXiv · 2603.07154

English translation of Sophie Kowalevski's "On the problem of the rotation of a rigid body about a fixed point"

Abstract

This is an English translation and digitisation of Sophie Kowalevski's (also know as Sofya Kovalevskaya) paper on what is now known as the Kovalevskaya Top. The original paper was written in French and published in Vol 12 of Acta Mathematica in 1889 with the title "Sur le probleme de la rotation d'un corps solide autour d'un point fixe".

Explore related subjects

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Sophie Kowalevski. 2026-03-07. English translation of Sophie Kowalevski's "On the problem of the rotation of a rigid body about a fixed point". https://arxiv.org/abs/2603.07154

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

Come for the vibe, stay for the math

This article describes our experiences in mathematical outreach over the past decade. We talk about specific activities, but also general principles that we've learned along the way.

math.HO

From foundations to applications: reverse mathematics and philosophy

Reverse mathematics is a branch of mathematical logic dedicated to determining the minimal set existence principles necessary and sufficient to derive ordinary mathematical theorems about concrete structures like the real line. Since the mid-1970s, reverse mathematics has developed a systematic classification of the strength of theorems in areas of mathematics ranging from real and complex analysis to infinitary combinatorics. This essay will place reverse mathematics in its historical and philosophical context, and reveal its relevance to central issues in the philosophy of mathematics, from the foundational programmes of Hilbert and Brouwer to contemporary debates about realism, determinacy, and applicability of mathematics. In doing so, it will discuss the role of computability theory in measuring the strength of set existence principles, as well as related questions about idealisation when these principles are applied in the physical sciences and in philosophy.

math.HO