Generalized connected sum construction for constant scalar curvature metrics

Details Generalized connected sum construction for constant scalar curvature metrics Generalized connected sum construction for constant scalar curvature metrics

2006-02-21

arxiv.org/abs/math/0602471v2

Mathematics

Differential Geometry

18 pages

Scientific paper

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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