English

Dirac Type Operators for Arithmetic Subgroups of Generalized Modular Groups

Analysis of PDEs 2007-05-23 v2 Differential Geometry

Abstract

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 Rn\mathbb{R}^n by arithmetic subgroups of generalized modular groups. Basic properties of these fundamental solutions are presented together with associated Eisenstein and Poincar\'e type series.

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Cite

@article{arxiv.math/0605324,
  title  = {Dirac Type Operators for Arithmetic Subgroups of Generalized Modular Groups},
  author = {Elizabeth Bulla and Denis Constales and Rolf Soeren Krausshar and John Ryan},
  journal= {arXiv preprint arXiv:math/0605324},
  year   = {2007}
}

Comments

32 pages