Tanjant Demet İzdüşümü ile Tanımlı Tensör Demetinin Pull-Back Demeti

Year 2017, Volume: 7 Issue: 2, 353 - 366, 15.12.2017

Furkan Yıldırım

Abstract

Bu çalışmada, M manifoldu üzerinde tanımlı TM tanjant demetinin izdüşümü (submersionu) ile
(p,q) tipli tM yarı-tensör (pull-back) demeti tanımlanmıştır. Ayrıca tM yarı-tensör (pull-back)
demetinin bu özel sınıfında kesitler incelenmiştir.

Keywords

Kesit, Pull-back demeti, Tam lift, Tanjant demeti, Vektör alanı

A Pull-Back Bundle of Tensor Bundles Defined by Projection of The Tangent Bundle

Abstract

Using projection (submersion) of the tangent bundle TM over a manifold M, we define a semitensor
(pull-back) bundle tM of type (p,q). In this context cross-sections in a special class of semitensor
(pull-back) bundle tM can be also defined. 

Keywords

Complete lift, cross-section pull-back bundle, tangent bundle, vector field

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