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Geodesic Flows and Neumann Systems on Stiefel Varieties. Geometry and Integrability
Geodesic Flows Neumann Systems n Stiefel Varieties Geometry and Integrability
2010/11/10
We study integrable geodesic flows on Stiefel varieties $V_{n,r}=SO(n)/SO(n-r)$ given by the Euclidean, normal (standard), Manakov-type, and Einstein metrics. We also consider natural generalizations ...
Conversion Between Implicit and Parametric Representations of Algebraic Varieties
Conversion Between Implicit Parametric Representations Algebraic Varieties
2013/9/9
In this chapter, we review algorithms for conversion between implicit and parametric representations of algebraic varieties with emphasis on the implicitization of rational parametric equations (abbr....