A non-Newtonian conics in multiplicative analytic geometry (Q6618882)

The paper under review contributes to \textit{multiplicative analytic geometry}, as introduced in the book [\textit{S. Georgiev} et al., Multiplicative analytic geometry. Boca Raton, FL: CRC Press (2023; Zbl 1517.51001)]. This kind of geometry relies on making the set of positive real numbers into a field, isomorphic to \((\mathbb{R},+,\cdot)\), via the exponential mapping \(x\mapsto e^x\). \N\NThe main topic is the detailed investigation of ``non-Newtonian conics'', in particular, ``multiplicative circles'', ``multiplicative ellipses'' and ``multiplicative hyperbolas''. These curves arise as intersection of a ``multiplicative cone'' with particular ``multiplicative planes''.