Differential geometry of grassmannians and Plucker map

Details Differential geometry of grassmannians and Plucker map Differential geometry of grassmannians and Plucker map

2009-07-26

arxiv.org/abs/0907.4470v2

Mathematics

Differential Geometry

12 pages. 2010 edition

Scientific paper

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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