Algebraic geometry of the eigenvector mapping for a free rigid body

DOI10.1016/j.difgeo.2011.04.023zbMath1253.14033OpenAlexW2043283480WikidataQ115356883 ScholiaQ115356883MaRDI QIDQ719838

Daisuke Tarama, Isao Naruki

Publication date: 12 October 2011

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2011.04.023

zbMATH Keywords

Kummer surfaceManakov equationCremona involutionEigenvector mappingElliptic surfaceFree rigid body

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) (K3) surfaces and Enriques surfaces (14J28) Elliptic curves (14H52) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Relationships between algebraic curves and integrable systems (14H70)

Related Items (1)

Classification of the classical \(\mathrm{SL}(2,\mathbb R)\) gauge transformations in the rigid body

Cites Work

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• Some elliptic fibrations arising from free rigid body dynamics
• Geodesic flow on \(SO(4)\) and Abelian surfaces
• Note on the integration of Euler's equations of the dynamics of an \(n\)-dimensional rigid body
• On compact analytic surfaces. III
• Linearizing Flows and a Cohomological Interpretation of Lax Equations
• A TORELLI THEOREM FOR ALGEBRAIC SURFACES OF TYPEK3

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