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harmonic -form on submanifold with weighted Poincaré inequality

Xiaoli ChaoYusha Lv — 2018

Czechoslovak Mathematical Journal

We deal with complete submanifolds with weighted Poincaré inequality. By assuming the submanifold is -stable or has sufficiently small total curvature, we establish two vanishing theorems for harmonic -forms, which are extensions of the results of Dung-Seo and Cavalcante-Mirandola-Vitório.

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