scholarly journals Prolongations of linear connections to the frame bundle

1983 ◽  
Vol 28 (3) ◽  
pp. 367-381
Author(s):  
Luis A. Cordero ◽  
Manuel de Leon
Keyword(s):  
Linear Connection ◽  
Frame Bundle ◽  
Linear Connections ◽  
Complete Lift

In this paper we construct the prolongation of a linear connection Γ on a manifold Μ to the bundle space of its frame bundle, and show that such prolongated connection coincides with the so-called complete lift of Γ to .

Einstein equations for a Finsler-Larange space with canonical N-linear connections

2020 ◽  
Vol 4 (1) ◽  
pp. 240-247
Author(s):  
Roopa M. K ◽  
◽  
Narasimhamurthy S. K ◽  
Keyword(s):  
Einstein Equations ◽  
Linear Connections

scholarly journals Lifting to the r-frame bundle by means of connections

2010 ◽  
Vol 97 (1) ◽  
pp. 63-71
Author(s):  
J. Kurek ◽  
W. M. Mikulski
Keyword(s):  
Frame Bundle

2-ρ-DERIVATIONS ON A ρ-ALGEBRA AND APPLICATIONS TO THE QUATERNIONIC ALGEBRA

2007 ◽  
Vol 04 (03) ◽  
pp. 457-469 ◽  
Author(s):  
CĂTĂLIN CIUPALĂ
Keyword(s):  
Linear Connection ◽  
Linear Connections

In this paper, we introduce 2-ρ-derivations on a ρ-algebra A, and define 2-linear connections on a ρ-bimodule M over A using these 2-derivations. Then we introduce and study the curvature of a linear connection. Our results are applied to the particular case of the quaternionic algebra ℍ.

Sign in / Sign up

Export Citation Format

Share Document