Some Conformally Flat Spin Manifolds, Dirac Operators and Automorphic Forms

Details Some Conformally Flat Spin Manifolds, Dirac Operators and Automorphic Forms Some Conformally Flat Spin Manifolds, Dirac Operators and Automorphic Forms

2002-12-05

arxiv.org/abs/math/0212086v1

Mathematics

Analysis of PDEs

Scientific paper

In this paper we study Clifford and harmonic analysis on some conformal flat spin manifolds. In particular we treat manifolds that can be parametrized by $U / \Gamma$ where $U$ is a simply connected subdomain of either $S^{n}$ or $R^{n}$ and $\Gamma$ is a Kleinian group acting discontinuously on $U$. Examples of such manifolds treated here include for example $RP^{n}$ and $S^{1}\times S^{n-1}$. Special kinds of Clifford-analytic automorphic forms associated to the different choices of $\Gamma$ are used to construct Cauchy kernels, Cauchy Integral formulas, Green's kernels and formulas together with Hardy spaces, Plemelj projection operators and Szeg\"{o} kernels for $L^{p}$ spaces of hypersurfaces lying in these manifolds.

Affiliated with

Also associated with

No associations

Rating

Some Conformally Flat Spin Manifolds, Dirac Operators and Automorphic Forms does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Some Conformally Flat Spin Manifolds, Dirac Operators and Automorphic Forms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some Conformally Flat Spin Manifolds, Dirac Operators and Automorphic Forms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-702980