Geometry of real Grassmannian manifolds. I, II
type: Item
instance of: scholarly article
title: Geometry of real Grassmannian manifolds. I, II
zbMATH Open document ID: 0918.53008
author: S. E. Kozlov
published in: Journal of Mathematical Sciences (New York)
publication date: 1999-08-10T00:00:00Z
review text: The author realizes the Plücker model of the real Grassmannian manifold as a submanifold of the Euclidean space \(\Lambda ({\mathbb R}^n)\) and establishes an isometry onto the classical Grassmannian manifold endowed with \(SO(n)\)-invariant metric. The decomposition of bi- and poly-vectors is studied. [For Part III, see the following review Zbl 0918.53009)].
Mathematics Subject Classification ID: 53B25
Mathematics Subject Classification ID: 15A75
Mathematics Subject Classification ID: 53A20
zbMATH DE Number: 1193402
zbMATH Keywords: real Grassmannian manifold
zbMATH Keywords: Plücker model
zbMATH Keywords: decomposition
zbMATH Keywords: bivectors
zbMATH Keywords: polyvectors
reviewed by: Gabriel Teodor Pripoae
MaRDI profile type: Publication
full work available at URL: s10958-000-0008-2
OpenAlex ID: W1966931217
cites work: Q5565773
cites work: Q5337746
cites work: Exterior algebra and projection of polytopes
cites work: Q5341449
cites work: Q4320139
cites work: Q3313791
cites work: Q4321739
cites work: Zur Riemannschen Geometrie in Grassmannschen Mannigfaltigkeiten
cites work: Q3840061
cites work: Q3222325
DOI: 10.1007/S10958-000-0008-2
Recommended article: Geometry of real Grassmannian manifolds. III
Recommended article: Geometry of real Grassmann manifolds. IV, V, VI
Recommended article: Q4335848
Recommended article: Q4807956
Recommended article: Q5441615
Recommended article: Q4463756
Recommended article: \(K\)-theory of real Grassmann manifolds
Recommended article: The geometry of a Grassmannian foliation. II
Recommended article: Q4398474
Recommended article: Geometric Quantities of Manifolds with grassmann structure
description: scientific article; zbMATH DE number 1193402