The Action of a Linear Map on the Grassmann Manifold

Ćemal B. Dolićanin () and Anatolij B. Antonevich ()
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Ćemal B. Dolićanin: State University of Novi Pazar
Anatolij B. Antonevich: Belarusian State University

Chapter Chapter 7 in Dynamical Systems Generated by Linear Maps, 2014, pp 81-88 from Springer

Abstract: Abstract The set of subspaces of a given vector space forms the Grassmann manifold, a linear non-singular operator $$A$$ A induces a homeomorphism $$\varphi _A$$ φ A of the Grassmann manifold. Let us find the explicit form or this map.

Keywords: Transition Function; Invariant Subspace; Complex Manifold; Smooth Manifold; Riemann Sphere (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-08228-8_7

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DOI: 10.1007/978-3-319-08228-8_7

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