Finite Weil Jets, Identity Transfer, and the Exponential Geometry of Proper Orthogonal Tensors

Daniel Condurache

Let $\mathbb{A}=\mathbb{R}{1}_{\mathbb{A}}\oplus \mathfrak{m}$ be a Weil algebra with ${\mathfrak{m}}^{N+1}=0$. We study the exponential geometry of the proper orthogonal group $\mathrm…