Dirac Type Operators for Arithmetic Subgroups of Generalized Modular Groups

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Fundamental solutions of Dirac type operators are introduced for a class of conformally flat manifolds. This class consists of manifolds obtained by factoring out the upper half-space of $\mathbb{R}^n$ by arithmetic subgroups of generalized modular groups. Basic properties of these fundamental solutions are presented together with associated Eisenstein and Poincaré type series.
32 pages

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Analysis of PDEs, Differential Geometry, 30 G 35, 53 C 27, 42 B 35

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http://salesiana.dossiersoluciones.com/handle/123456789/112758

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0605324
 http://arxiv.org/abs/math/0605324

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arXiv