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arxiv: 0907.4470 · v2 · pith:VX36DWOZnew · submitted 2009-07-26 · 🧮 math.DG

Differential geometry of grassmannians and Plucker map

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keywords pluckergeometriesgrassmanniangrassmanniansaspectsbasiccaseclassic
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Using the Plucker map between grassmannians, we study basic aspects of classic grassmannian geometries. For `hyperbolic' grassmannian geometries, we prove some facts (for instance, that the Plucker map is a minimal isometric embedding) that were previously known in the `elliptic' case.

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