Differential geometry

Lebrun manifold

In mathematics, a LeBrun manifold is a connected sum of copies of the complex projective plane, equipped with an explicit self-dual metric. Here, self-dual means that the Weyl tensor is its own Hodge star. The metricis determined by the choice of a finite collection of points in hyperbolic 3-space. These metrics were discovered by Claude LeBrun, and named after LeBrun by Michael Atiyah and Edward Witten. (Wikipedia).

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Related pages

Hyperbolic space | Weyl tensor | Complex projective plane | Connected sum