4 papers
math.DG2022
Klein geometries of high order
Ercüment H. Ortaçgil
Using irreducible representations of semi simple Lie algebras, we construct Klein geometries of arbitrarily high order.
math.DG2022
The structure constants of geometric structures on a local Lie group
Ercüment H. Ortaçgil
We define the structure constants of almost complex, almost symplectic and Riemannian structures on a local Lie group
math.GM2020
On a simple proof the Poincare Conjecture
Ercüment Ortaçgil
We outline a simple proof of PC without surgeries using the homogeneous flow introduced in [O].
math.DG2011
Tensor calculus and deformation theory on on a local Lie group
Ercüment Ortaçgil
Historically tensor calculus emerged in an attempt to formalize Rie- mann's ideas. We show that tensor calculus can be based also on Lie's idea of a transformation group and this a…