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Lower bounds for warping functions on warped-product AHE manifolds by Javaheri, Mohammad is a scholarly article available to read on EtoBox.

What is Lower bounds for warping functions on warped-product AHE manifolds about?

Let $[\gamma]$ be the conformal boundary of a warped product $C^{3,\alpha}$ AHE metric $g=g_M+u^2h$ on $N=M \times F$, where $(F,h)$ is compact with unit volume and nonpositive curvature. We show that if $[\gamma]$ has positive Yamabe constant, then $u$ has a positive lower bound that depends only on $[\gamma]$.

Author

Javaheri, Mohammad

Published

2007

Language

EN