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\(\text{U}(1)\)-decomposable self-dual manifolds. (English) Zbl 0974.53025

The author proves a characterization theorem for conformal equivalence for a compact \(U(1)\)-decomposable self-dual manifold along a hypersurface.

MSC:

53C20 Global Riemannian geometry, including pinching
53C28 Twistor methods in differential geometry
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