Vector fields of zero total curvature of the second type in fore-dimension space

Bibliographic Details
Parent link:	Bulletin of the Tomsk Polytechnic University/ Tomsk Polytechnic University (TPU).— , 2006-2007 Vol. 310, № 1.— 2007.— [P. 37-42]
Main Author:	Onishchyk N. М.
Other Authors:	Narezhneva D. L.
Summary:	Заглавие с титульного листа Электронная версия печатной публикации Geometry of flat vector fields for which total curvature of the second kind equals zero in a domain of four-dimensional Euclidean space has been studied. These vector fields are classified depending on rank of the fundamental linear operator. Geometrical properties of Non-holonomic Pfaffian variety orthogonal to the vector field are investigated for each class. An example of a vector field with constant nonholonomicity vector different from zero is constructed. The research is carried out by the Cartan's method of exterior forms within moving frames.
Published:	2007
Series:	Mathematics and mechanics. Physics
Subjects:	vector fields zero total curvature fore-dimension space geometry Euclidean space linear operators geometrical properties Pfaffian variety non-holonomic variety classes nonholonomicity researches Cartan's method of exterior forms moving frames электронный ресурс
Online Access:	http://www.lib.tpu.ru/fulltext/v/Bulletin_TPU/2007/v310eng/i1/08.pdf
Format:	Electronic Book Chapter
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=180601

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