Geodesics in \(G_ 2^ 4\)
type: Item
instance of: scholarly article
title: Geodesics in \(G_ 2^ 4\)
zbMATH Open document ID: 0811.53041
author: R. S. Bucy
published in: Journal of Differential Equations
publication date: 1994-09-08T00:00:00Z
review text: It is known [the author, Inf. Sci. 40, 75-82 (1986; Zbl 0621.94004)] that multiple target angular determination for a radar array problem is equivalent to determining an \(r\)-dimensional subspace of \(n\)-space or a point in the Grassmannian \(G^ n_ r\). In this paper the case of \(G^ 4_ 2\) is considered. A metric suggested by the above problem is introduced in \(G^ 4_ 2\) and it is proved that the 8-dimensional Hamiltonian system for geodesics is completely integrable.
Mathematics Subject Classification ID: 53C22
zbMATH DE Number: 635872
zbMATH Keywords: radar array problem
zbMATH Keywords: Grassmannian
zbMATH Keywords: Hamiltonian system
zbMATH Keywords: geodesics
reviewed by: Gheorghe Pitiş
MaRDI profile type: Publication
full work available at URL: jdeq.1994.1101
OpenAlex ID: W2070239993
DOI: 10.1006/JDEQ.1994.1101
description: scientific article; zbMATH DE number 635872