Green functions and conformal geometry

Monogenic Functions in Conformal Geometry⋆

Monogenic functions are basic to Clifford analysis. On Euclidean space they are defined as smooth functions with values in the corresponding Clifford algebra satisfying a certain system of first order differential equations, usually referred to as the Dirac equation. There are two equally natural extensions of these equations to a Riemannian spin manifold only one of which is conformally invari...

Conformal Geometry

Arrows in this diagram indicate input from one topic to another. Closely related topics are joined by lines. Conformal geometry is highly analogous to CR geometry, so their boxes are close together and arrows run in both directions. The left hand side of the diagram is largely algebraic. At the top of the diagram, Q-curvature and ambient metrics are specific aspects of conformal geometry, which...

Pseudo-Conformal Geometry of Polygenic Functions of Several Complex Variables.

Pseudo-conformal Geometry: Functions of Two Complex Variables

Qubit Geometry and Conformal Mapping

In the past ten years, there has been a growing interest in the theory of quantum computation and quantum information.ð1Þ Due to the quantum parallelism, quantum computers have the potential to outperform the classical computers. The quantum computers are based on two-level quantum systems, which are called qubits.ð2Þ In this paper, we will investigate a representation of a single qubit operati...