On gravitational instantons

By H. Hein. 2010

318 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/b34cf11f76a2e6bbe1af3eb00053af47fa8a6f8c

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1. Mattia Fogagnolo
2. Virginia Agostiniani
3. L. Mazzieri
4. Yujen Shu
5. Guofang Wei
6. Jeffrey S. Case
7. Michele Rimoldi
8. Zoltán M. Balogh

Citations in the corpus

• A Compactness Theorem for Complete Ricci Shrinkers (2010, unknown): “Consider the Eguchi-Hanson metric g EH [17], a Ricci-flat metric on T S 2 which is asymptotic to R 4 / Z 2 (remember that the unit tangent bundle of the 2-sphere is homeomorphic to S 3 / Z 2 ).”
• Rigidity of Quasi-Einstein Metrics (2008, background): “The Taub-NUT metric [7] is a Ricci flat metric on R(4) which is not flat.”
• Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature (2018, background): “Moreover, we point out that 4-dimensional Ricci flat ALE manifolds appear as important examples of gravitational instantons, that are noncompact hyperkhäler 4-manifolds with decaying curvature at infinity, introduced by Hawking in [35] in the framework of his Euclidean quantum gravity theory.”