On the Geometry of Complex Grassmann Manifold, Its Noncompact Dual and Coherent States
classification
dg-ga
math.DG
keywords
complexgrassmannmanifoldcoherentconjugategeometrylocusstates
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Different topics on the differential geometry of the complex Grassmann manifold are surveyed in relation to the coherent states. A calculation of the tangent conjugate locus and conjugate locus in the complex Grassmann manifold is presented. The proofs use the Jordan's stationary angles. Also various formulas for the distance on the complex Grassmann manifold are furnished.
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