Solution to torsion relations in finsler-spacetime tangent bundle

1994 ◽  
Vol 7 (3) ◽  
pp. 297-301 ◽  
Author(s):  
Howard E. Brandt
Keyword(s):  
Tangent Bundle ◽  
Spacetime Tangent Bundle ◽  
Finsler Spacetime

Finsler-spacetime tangent bundle

1992 ◽  
Vol 5 (3) ◽  
pp. 221-248 ◽  
Author(s):  
Howard E. Brandt
Keyword(s):  
Tangent Bundle ◽  
Spacetime Tangent Bundle ◽  
Finsler Spacetime

Structure of spacetime tangent bundle

1991 ◽  
Vol 4 (6) ◽  
pp. 523-536 ◽  
Author(s):  
Howard E. Brandt
Keyword(s):  
Tangent Bundle ◽  
Spacetime Tangent Bundle

Complex spacetime tangent bundle

1993 ◽  
Vol 6 (3) ◽  
pp. 245-255 ◽  
Author(s):  
Howard E. Brandt
Keyword(s):  
Tangent Bundle ◽  
Spacetime Tangent Bundle

Spacetime tangent bundle with torsion

1993 ◽  
Vol 6 (4) ◽  
pp. 339-369 ◽  
Author(s):  
Howard E. Brandt
Keyword(s):  
Tangent Bundle ◽  
Spacetime Tangent Bundle

scholarly journals The tangent bundle exponential map and locally autoparallel coordinates for general connections on the tangent bundle with application to Finsler geometry

2016 ◽  
Vol 13 (03) ◽  
pp. 1650023 ◽  
Author(s):  
Christian Pfeifer
Keyword(s):  
Tangent Bundle ◽  
Order Term ◽  
Finsler Geometry ◽  
Exponential Map ◽  
Metric Geometry ◽  
Normal Coordinates ◽  
Concrete Application ◽  
Finsler Spacetime ◽  
Quadratic Order ◽  
General Connection

We construct a tangent bundle exponential map and locally autoparallel coordinates for geometries based on a general connection on the tangent bundle of a manifold. As concrete application we use these new coordinates for Finslerian geometries and obtain Finslerian geodesic coordinates. They generalize normal coordinates known from metric geometry to Finsler geometric manifolds and it turns out that they are identical to the Douglas–Thomas normal coordinates introduced earlier. We expand the Finsler Lagrangian of a Finsler spacetime in these new coordinates and find that it is constant to quadratic order. The quadratic order term comes with the nonlinear curvature of the manifold. From physics these coordinates may be interpreted as the realisation of an Einstein elevator in Finslerian spacetime geometries.

K�hler spacetime tangent bundle

1992 ◽  
Vol 5 (4) ◽  
pp. 315-336 ◽  
Author(s):  
Howard E. Brandt
Keyword(s):  
Tangent Bundle ◽  
Spacetime Tangent Bundle
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