On the Geometry of Complex Grassmann Manifold, Its Noncompact Dual and Coherent States

Details On the Geometry of Complex Grassmann Manifold, Its Noncompact Dual and Coherent States On the Geometry of Complex Grassmann Manifold, Its Noncompact Dual and Coherent States

1995-09-08

arxiv.org/abs/dg-ga/9509002v2

Bull. Belg. Math. Soc. 4 (1997) 205-243

Mathematics

Differential Geometry

version appeared in Journal; minor modifications, some misprints and mispelling are corrected; LATEX2E, 36 pages, some macros

Scientific paper

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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