Nilpotency and higher order derivatives in differential geometry
Ercument H. Ortacgil
TL;DR
This paper explores bounds on the order of Klein geometries, providing insights into the structure of differential geometric objects through the lens of nilpotency and higher derivatives.
Contribution
It introduces new bounds for the order of Klein geometries, advancing understanding of their algebraic and geometric properties.
Findings
Established simple upper bounds for Klein geometry order
Derived lower bounds related to nilpotency conditions
Enhanced comprehension of higher order derivatives in geometric structures
Abstract
We give simple upper and lower bounds for the order of a Klein geometry
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Differential Equations and Dynamical Systems · Mathematics and Applications