Hitchin-Thorpe Inequality for Noncompact Einstein 4-Manifolds
Differential Geometry
2007-05-23 v1
Abstract
We prove a Hitchin-Thorpe inequality for noncompact Einstein 4-manifolds with asymptotic geometry at infinity. The asymptotic geometry at infinity is either a cusp bundle over a compact space (the fibered cusps) or a fiber bundle over a cone with a compact fiber (the fibered boundary). Many noncompact Einstein manifolds come with such a geometry at infinity.
Cite
@article{arxiv.math/0612105,
title = {Hitchin-Thorpe Inequality for Noncompact Einstein 4-Manifolds},
author = {Xianzhe Dai and Guofang Wei},
journal= {arXiv preprint arXiv:math/0612105},
year = {2007}
}
Comments
17 pages