Remarks on $\eta$-Einstein unit tangent bundles
Differential Geometry
2007-08-13 v1
Abstract
We study the geometric properties of the base manifold for the unit tangent bundle satisfying the -Einstein condition with the standard contact metric structure. One of the main theorems is that the unit tangent bundle of 4-dimensional Einstein manifold, equipped with the canonical contact metric structure, is -Einstein manifold if and only if base manifold is the space of constant sectional curvature 1 or 2.
Keywords
Cite
@article{arxiv.0708.1400,
title = {Remarks on $\eta$-Einstein unit tangent bundles},
author = {Y. D. Chai and S. H. Chun and J. H. Park and K. Sekigawa},
journal= {arXiv preprint arXiv:0708.1400},
year = {2007}
}
Comments
15 pages