1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.DS2016★ 1 cited
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…
math.CA2003
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…
dg-ga1997
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…