Abstract
This project proposes a, partially original, investigation into the topic of geometric structures, viewed as stabilized tensors by a reduced structure group, following the unifying approach presented by Daniel Fadel, Eric Loubeau, Andrés J. Moreno, and Henrique N. Sá Earp in 2024. The goal is to obtain Taylor formulas for tensors associated with Spin(7)-structures and U(m)-structures, ana…