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- W1509074549 abstract "We develop a gluing procedure designed to obtain canonical metrics on connected sums of Einstein four-manifolds. The main application is an existence result, using two well-known Einstein manifolds as building blocks: the Fubini-Study metric on $mathbb{CP}^2$ and the product metric on $S^2 times S^2$. Using these metrics in various gluing configurations, critical metrics are found on connected sums for a specific Riemannian functional, which depends on the global geometry of the factors. Furthermore, using certain quotients of $S^2 times S^2$ as one of the gluing factors, critical metrics on several non-simply-connected manifolds are also obtained." @default.
- W1509074549 created "2016-06-24" @default.
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- W1509074549 date "2013-03-04" @default.
- W1509074549 modified "2023-09-27" @default.
- W1509074549 title "Critical metrics on connected sums of Einstein four-manifolds" @default.
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