SOME GEOMETRIC PROPERTIES ON A MODEL OF UNIVERSAL TEICHMLLER SPACES

SOME GEOMETRIC PROPERTIES ON A MODE L OF UNIVERSAL TEICHMULLER SPACES

The model of the universal Teichmller space by the derivatives of logarithm is the union of infinite disconnected components. In this paper, the fact that each component is not starlike with respect to its center is proved, and the outer radius of the space with respect to each center is obtained.