Remarks on η-Einstein unit tangent bundles
نویسندگان
چکیده
We study the geometric properties of the base manifold for the unit tangent bundle satisfying the η-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 ηEinstein manifold if and only if base manifold is the space of constant sectional curvature 1 or 2. 2000 Mathematics Subject Classification: 53C25, 53D10
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