We prove that if f is an orientation-preserving homeomorphism of a closed orientable surface M whose singular set Σ(f) is totally disconnected, then f is topologically conjugate to a conformal transformation.

We study the coupled dark energy model constructed from general conformal transformation in which coefficient of depends on both scalar field and its kinetic term. Under this transformation, action for subclass Degenerate Higher-Order Scalar-Tensor (DHOST) theories is related to Einstein-Hilbert action. The evolution background universe has scaling fixed point corresponds acceleration at late t...

Standard Molodensky is a recognised method of transforming coordinates between geodetic datums. Although less accurate than some other methods, it has the merit being direct. That to say can be applied coordinates, without involving Cartesian that give rise difficulties in computing latitude. This paper considers use when at least one datums 2D+1D nature, meaning horizontal and vertical positio...