1 citations · 1 across the 4 of their papers we have counts for
4 papers
Pre-Metric-Bourbaki Algebroids: Cartan Calculus for M-Theory
Aybike Çatal-Özer, Tekin Dereli, Keremcan Doğan
String and M theories seem to require generalizations of usual notions of differential geometry. Such generalizations usually involve extending the tangent bundle to larger vector…
Statistical Geometry and Hessian Structures on Pre-Leibniz Algebroids
Keremcan Doğan
We introduce statistical, conjugate connection and Hessian structures on anti-commutable pre-Leibniz algebroids. Anti-commutable pre-Leibniz algebroids are special cases of local p…
'Anti-Commutable' Pre-Leibniz Algebroids and Admissible Connections
Tekin Dereli, Keremcan Doğan
The concept of algebroid is convenient for constructions of geometrical frameworks. For example, metric-affine and generalized geometries can be written on Lie and Courant algebroi…
Kaluza-Klein Reduction of the 6 Dimensional \\ Dirac Equation on and \\ Non-abelian Topological Insulators
Tekin Dereli, Keremcan Doğan, Cem Yetişmişoğlu
In this work, the Kaluza-Klein reduction of the Dirac equation on a 6 dimensional spacetime is studied. Because of the gr…