3 papers
math.DG2021
Nilpotency and higher order derivatives in differential geometry
Ercument H. Ortacgil
We give simple upper and lower bounds for the order of a Klein geometry
math.DG2020
The canonical geometry of a Lie group
Ercument H. Ortacgil
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 h…
math.DG2020
Curvature without connection
Ercument H. Ortacgil
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 conne…