scholarly journals On the (1, 1)-tensor bundle with Cheeger–Gromoll type metric

2015 ◽  
Vol 125 (4) ◽  
pp. 569-576 ◽  
Author(s):  
AYDIN GEZER ◽  
MURAT ALTUNBAS
Keyword(s):  
Tensor Bundle

On Affine Connections Induced on the (1, 1)-Tensor Bundle

2018 ◽  
Vol 39 (4) ◽  
pp. 683-694
Author(s):  
Murat Altunbas ◽  
Aydin Gezer
Keyword(s):  
Affine Connections ◽  
Tensor Bundle

Diagonal lift in the tensor bundle and its applications

2003 ◽  
Vol 142 (2-3) ◽  
pp. 309-319 ◽  
Author(s):  
N Cengiz ◽  
A.A Salimov
Keyword(s):  
Tensor Bundle

Complete Lifts of Tensor Fields on a Pure Cross-section in the Tensor Bundle

2009 ◽  
Vol 93 (1-2) ◽  
pp. 128-138 ◽  
Author(s):  
Abdullah Magden ◽  
Arif A. Salimov
Keyword(s):  
Cross Section ◽  
Tensor Fields ◽  
Tensor Bundle

scholarly journals On Pull-Back Bundle of Tensor Bundles Defined by Projection of The Cotangent Bundle

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Furkan Yildirim
Keyword(s):  
Special Class ◽  
Cotangent Bundle ◽  
Vector Fields ◽  
Complete Lift ◽  
Tensor Bundle

AbstractUsing projection (submersion) of the cotangent bundle T*M over a manifold M, we define a semi-tensor (pull-back) bundle tM of type (p,q). The aim of this study is to investigate complete lift of vector fields in a special class of semi-tensor bundle tM of the type (p,q). We also have a new example for good square in this work.

On the geometry of the (1, 1)-tensor bundle with Sasaki type metric

2011 ◽  
Vol 32 (3) ◽  
pp. 369-386 ◽  
Author(s):  
Arif Salimov ◽  
Aydin Gezer
Keyword(s):  
Tensor Bundle

The Vranceanu connections on the Riemannian (1, 1)–tensor bundle

2016 ◽  
Author(s):  
Murat Altunbas ◽  
Aydin Gezer ◽  
Elanur Dogan
Keyword(s):  
Tensor Bundle

THE HOMOGENEOUS LIFT TO THE (1, 1)-TENSOR BUNDLE OF A RIEMANNIAN METRIC

2013 ◽  
Vol 10 (04) ◽  
pp. 1350006 ◽  
Author(s):  
ESMAEIL PEYGHAN ◽  
HASSAN NASRABADI ◽  
AKBAR TAYEBI
Keyword(s):  
Riemannian Manifold ◽  
Sectional Curvature ◽  
Curvature Tensor ◽  
Differentiable Manifold ◽  
Riemannian Metric ◽  
Riemannian Curvature ◽  
Riemannian Curvature Tensor ◽  
Geometric Objects ◽  
Levi Civita Connection ◽  
Tensor Bundle

By using a Riemannian metric on a differentiable manifold, the homogeneous lift metric is introduced on the (1, 1)-tensor bundle of the Riemannian manifold. Some geometric objects related to this metric, such as the Levi-Civita connection, Riemannian curvature tensor and sectional curvature are calculated. Also, a para-Nordenian structure on the (1, 1)-tensor bundle with this metric is constructed and interesting properties of this structure are studied.

scholarly journals Some properties of semi-tensor bundle

2018 ◽  
Vol 3 (6) ◽  
pp. 147-153
Author(s):  
Murat Polat ◽  
Nejmi Cengiz
Keyword(s):  
Tensor Bundle
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