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Sfb 288 Differential Geometry and Quantum Physics |
Abstract for Sfb Preprint No. 500
Geometric and Analytic Properties of Families of Hypersurfaces in Eguchi-Hanson Space Pablo Ramacher
We study the geometry of families of hypersurfaces in Eguchi--Hanson space that arise as complex line bundles over curves in $S^2$ and are three--dimensional, non--compact Riemannian manifolds, which are foliated in Hopf tori for closed curves. They are negatively curved, asymptotically flat spaces, and we compute the complete three--dimensional curvature tensor as well as the second fundamental form.
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