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Generalized connected sum construction for constant scalar curvature metrics

Lorenzo Mazzieri
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Abstract

We consider the problem of constructing solutions to the Yamabe equation (i.e. conformal constant scalar curvature metrics) on the generalized connected sum M = (M_1) #_K (M_2) of two compact Riemannian manifolds (M_1,g_1) and (M_2,g_2) along a common (isometrically embedded) submanifold (K,g_K) of codimension greater or equal than 3.

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Lorenzo Mazzieri. 2006-04-20. Generalized connected sum construction for constant scalar curvature metrics. https://arxiv.org/abs/math/0602471

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