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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1984 Jul;81(14):4613–4616. doi: 10.1073/pnas.81.14.4613

Geodesic flow on SO(4) and the intersection of quadrics

Mark Adler *, Pierre van Moerbeke *,†
PMCID: PMC345644  PMID: 16593494

Abstract

This note studies the relationship between the complete integrability of geodesic flow on SO(4) with a left-invariant metric and the geometry of the intersection of four quadrics in P6.

Keywords: Abelian varieties, integrability, metrics

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