Plücker formulae for the orthogonal group

Publisher： Cambridge University Press

E-ISSN： 1755-1633|40|3|447-456

ISSN： 0004-9727

Source： Bulletin of the Australian Mathematical Society, Vol.40, Iss.3, 1989-12, pp. : 447-456

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Abstract

Plücker formulae for horizontal curves in SO(m)-flag manifolds are derived. These formulae are seen to generalise the usual Plücker formulae for projective space curves. They also have applications in the theory of minimal surfaces in Euclidean sphere and the complex hyperquadric.

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