Geometry of real Grassmannian manifolds. III
type: Item
instance of: scholarly article
title: Geometry of real Grassmannian manifolds. III
zbMATH Open document ID: 0918.53009
author: S. E. Kozlov
published in: Journal of Mathematical Sciences (New York)
publication date: 1999-08-10T00:00:00Z
review text: In a previous paper [\textit{S. E. Kozlov}, ibid., 84-107 (1997; Zbl 0918.53008), see the preceding review], the author established a Plücker model for the Grassmannian manifolds \(G^+_{p,n}\). In the paper under review, stationary angles between (oriented or non-oriented) planes are introduced. The diameter and the injectivity radius of \(G^+_{p,n}\) are calculated. Finally, the closure of geodesics in \(G^+_{p,n}\) is determined.
Mathematics Subject Classification ID: 53B25
Mathematics Subject Classification ID: 15A75
Mathematics Subject Classification ID: 53A20
Mathematics Subject Classification ID: 53C20
zbMATH DE Number: 1193403
zbMATH Keywords: Grassmann manifold
zbMATH Keywords: diameter
zbMATH Keywords: radius of injectivity
zbMATH Keywords: decomposition
zbMATH Keywords: geodesics
zbMATH Keywords: Plücker model
zbMATH Keywords: stationary angles
reviewed by: Gabriel Teodor Pripoae
MaRDI profile type: Publication
full work available at URL: s10958-000-0009-1
OpenAlex ID: W4206190532
cites work: DIFFERENTIAL GEOMETRY OF GRASSMANN MANIFOLDS
cites work: SECTIONAL CURVATURES OF GRASSMANN MANIFOLDS
cites work: Q4321739
cites work: Q3222325
cites work: Q3679117
cites work: Q5639812
cites work: Q3846750
cites work: Q3996857
DOI: 10.1007/S10958-000-0009-1
description: scientific article; zbMATH DE number 1193403