Generalized connected sum construction for constant scalar curvature metrics
Differential Geometry
2007-05-23 v2 Analysis of PDEs
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.
Cite
@article{arxiv.math/0602471,
title = {Generalized connected sum construction for constant scalar curvature metrics},
author = {Lorenzo Mazzieri},
journal= {arXiv preprint arXiv:math/0602471},
year = {2007}
}
Comments
18 pages