Let x : (M, F ) →֒ (V n+1, F ) be a simply connected hypersurface in a Minkowski space (V n+1, F ). In this paper, using the Gauss formula of Chern connection on Finsler submanifolds, we shall prove that if x(p) is normal to Tp(M)(∀p ∈ M), then M with the induced metric is isometric to the standard Euclidean sphere.

We prove a representation theorem for Boolean contact algebras which implies that the axioms for the Region Connection Calculus [20] (RCC) are complete for the class of subalgebras of the algebras of regular closed sets of weakly regular connected T1 spaces.

The goal of the paper is two-fold. first which to derive an explicit formula compute generating series a closed-loop system when plant, given in Chen-Fliess description multiplicative output feedback connection with another description. In addition, dynamic has natural interpretation as transformation group acting on plant. second two-part this same part albeit replaced by memoryless map, so ca...