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Clifford analysis on projective hyperbolic space II

✍ Scribed by F. Sommen; P. Cerejeiras; U. Kähler

Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
123 KB
Volume
25
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In this paper, we identify the hyperbolic unit ball with the manifold of rays within the future null cone. By means of theinduced Clifford algebra structure there we obtain the definition of Dirac operators on sections of homogeneous line bundles and a homogeneous version of the Borel–Pompeiu formula.

Finally, we introduce for this projective model of hyperbolic space a scale of the so‐called Q~p~‐spaces and study some of its basic properties. Copyright © 2002 John Wiley & Sons, Ltd.

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