1 citations · 1 across the 4 of their papers we have counts for
4 papers
Atlas as solution of Sincov's inequality
Petra Augustová, Lubomír Klapka
We find a solution of Sincov's inequality. Further, we prove that in the differentiable case we can interpret such solution as a differentiable manifold in the original sense of La…
Flows with limited intersection of worldlines
Petra Augustová, Lubomír Klapka
In this paper we define a flow with limited intersection of its worldlines and we construct and solve functional equations for such flow using a special kind of set embedding. For…
The Cauchy atlas on the manifold of all complete ODE solutions
P. Chladek, L. Klapka
In this paper the necessary and sufficient conditions for a mapping to be the dependence of the complete solution of some differentiable first-order ordinary differential equation…
The functional definition of geodesics
L. Klapka
In this paper a functional definition of geodesics is introduced which allows to generalize the notion of a geodesic from smooth to topological manifolds. It is shown that in the s…