Explicit Self - Dual Metrics On
نویسنده
چکیده
We display explicit half-conformally-flat metrics on the connected sum of any number of copies of the complex projective plane. These metrics are obtained from magnetic monopoles in hyperbolic 3-space by an analogue of the Gibbons-Hawking ansatz, and are conformal compactifications of asymptotically-flat, scalar-flat Kahler metrics on «-fold blow-ups of C . The corresponding twistor spaces are also displayed explicitly, and are observed to be Moishezon manifolds— that is, they are bimeromorphic to projective varieties.
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تاریخ انتشار 1991