Proposition 5.1 . [021B]

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Proposition 5.1.

There exists two positive constant $\alpha$ , $C_{5}$ , depending only on $(M,g)$ , such that

(5.2)

\int_{M}e^{-\alpha\phi}dvol_{g}\leq C_{5}\textrm{, for any $\phi\in P(M,g)$.}