Corpus ID: 59976044

CONFORMAL DEFORMATION OF A CONIC METRIC

@inproceedings{Jin2011CONFORMALDO,
  title={CONFORMAL DEFORMATION OF A CONIC METRIC},
  author={Z. Jin and Preethika Kumar},
  year={2011}
}

Z. Jin, Preethika Kumar

Published 2011

The problem studied here focuses on a compact manifold M without boundary in which the Riemannian metric g is on Λ = M−{p1, p2, ..., pk}. Near the pi’s, g has a particular type of singularity in which locally M = (0, δ)x×Y where Y is a Riemannian manifold with metric h. Calculation techniques involving Christoffel symbols, scalar curvature, and the Lapalacian of the manifold are used to reduce the Yamabe equation to a system of partial differential equations. After assuming that a function u… CONTINUE READING

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