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

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.
Language:English
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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