# 'Anti-Commutable' Pre-Leibniz Algebroids and Admissible Connections

@inproceedings{Dereli2021AntiCommutablePA, title={'Anti-Commutable' Pre-Leibniz Algebroids and Admissible Connections}, author={Tekin Dereli and Keremcan Dougan}, year={2021} }

The concept of algebroid is convenient as a basis for constructions of geometrical frameworks. For example, metric-affine and generalized geometries can be written on Lie and Courant algebroids, respectively. Furthermore, string theories might make use of many other algebroids such as metric algebroids, higher-Courant algebroids or conformal Courant algebroids. Working on the possibly most general algebroid structure, which generalizes many of the algebroids used in the literature, is fruitful…

## 3 Citations

### Pre-Metric-Bourbaki Algebroids: Cartan Calculus for M-Theory

- Mathematics
- 2022

String and M theories seem to require generalizations of usual notions of diﬀerential geometry on smooth manifolds. Such generalizations usually involve extending the tangent bundle to larger vector…

### Statistical Geometry and Hessian Structures on Pre-Leibniz Algebroids

- Mathematics
- 2021

We introduce statistical, conjugate connection and Hessian structures on anti-commutable preLeibniz algebroids. Anti-commutable pre-Leibniz algebroids are special cases of local preLeibniz…

### Statistical geometry and Hessian structures on pre-Leibniz algebroids

- MathematicsJournal of Physics: Conference Series
- 2022

We introduce statistical, conjugate connection and Hessian structures on anti-commutable pre-Leibniz algebroids. Anti-commutable pre-Leibniz algebroids are special cases of local pre-Leibniz…

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