Nilpotency and higher order derivatives in differential geometry
We give simple upper and lower bounds for the order of a Klein geometry
math.DG↗
arXiv subjects
Ercument H. Ortacgil
Publications and source records attributed to Ercument H. Ortacgil.
The canonical geometry of a Lie group
A Lie group G has many left invariant metrics having drastically different curvature properties. If we regard G as a flat and globalizable absolute parallelism as in [O1], then G has a canonical metric. We study some surprising consequences of this shift in perspective.
math.DG↗
Curvature without connection
We show that the theory of geometric structures proposed in the recent book "An Alternative Approach to Lie Groups and Geometric Structures" can be developed independently of connections.
math.DG↗