The conformal group of a compact simply connected Lorentzian manifold

The Conformal Transformation Group of a Compact Homogeneous Riemannian Manifold

Cobordism Theorem and Simply-Connected 3-Manifold

Every compact smooth simply connected 3-manifold is a twisted 3-sphere, so every smooth simply connected 3-manifold is diffeomorphic to S.

On digital simply connected spaces and manifolds: a digital simply connected 3-manifold is the digital 3-sphere

In the framework of digital topology, we study structural and topological properties of digital ndimensional manifolds. We introduce the notion of simple connectedness of a digital space and prove that if M and N are homotopy equivalent digital spaces and M is simply connected, then so is N. We show that a simply connected digital 2-manifold is the digital 2-sphere and a simply connected digita...

Fast Disk Conformal Parameterization of Simply-connected Open Surfaces

Surface parameterizations have been widely used in computer graphics and geometry processing. In particular, as simply-connected open surfaces are conformally equivalent to the unit disk, it is desirable to compute the disk conformal parameterizations of the surfaces. In this paper, we propose a novel algorithm for the conformal parameterization of a simply-connected open surface onto the unit ...

Effective Conformal Transformation of Smooth, Simply Connected Domains.

1. Statement of Problem.-Many problems in plane potential theory can be solved easily, if one knows how to map the interior (or exterior) of a given closed curve C in the z-plane, conformally and one-one onto the interior (or exterior) of the unit circle t = e"' in the t-plane. This can be done by tabulated functions in some cases, but even in such cases, the solution often involves one or more...