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math.DG2022
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…
math.DG2021★ 1 cited
'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…
math.DG2007
Linear Connections on Light-like Manifolds
T. Dereli, S. Kocak, M. Limoncu
It is well-known that a torsion-free linear connection on a light-like manifold compatible with the degenerate metric exists if and only if is a Killing distr…