Spectrum of the Laplacian on manifolds with Spin(9) holonomy
Differential Geometry
2007-11-12 v2
Abstract
We consider noncompact complete manifolds with Spin(9) holonomy and proved an one end result and a splitting type theorem under different conditions on the bottom of the spectrum. We proved that any harmonic functions with finite Dirichlet integral must be Cayley-harmonic, which allowed us to conclude an one end result. In the second part, we established a splitting type theorem by utilizing the Busemann function..
Keywords
Cite
@article{arxiv.0711.1428,
title = {Spectrum of the Laplacian on manifolds with Spin(9) holonomy},
author = {Kwan-hang Lam},
journal= {arXiv preprint arXiv:0711.1428},
year = {2007}
}
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24 pages