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Plücker formulae for the orthogonal group

Published online by Cambridge University Press:  17 April 2009

Kichoon Yang
Kichoon Yang
Affiliation:
Department of MathematicsArkansas State UniversityState University, Ar 72467United States of America
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 40 , Issue 3 , December 1989 , pp. 447 - 456
Copyright
Copyright © Australian Mathematical Society 1989

References

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