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Answer by shuhalo for Poincaré inequality on compact manifolds without boundary

Without going into the cited paper, the reasoning as such is not correct.Let $f : M \rightarrow \mathbb R$ be any function for which the Poincare inequality is satisfied. Such a function is not...

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Poincaré inequality on compact manifolds without boundary

The question arises from a paper The heat flow for the full bosonic string, Ann. Global Anal. Geom. 50 (2016).In line 4, Page 362, the author claimed the following inequality which looks similar to...

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