JCERJournal of Contemporary Educational Research2208-84662208-8474Bio-Byword Scientific Publishing Pty. Ltd.10.26689/jcer.v8i4.6671ArticleVanishing Theorems for p-Harmonic Forms on Submanifolds in Sphereshttps://artdesignp.com/journal/JCER/8/4/10.26689/jcer.v8i4.6671LiNan2024842024-04-29In this paper, we present some vanishing theorems for p-harmonic forms on -super stable complete submanifold M immersed in sphere Sn + m. When 2 ≤ 1 ≤ n-2, M has a flat normal bundle. Assuming that M is a minimal submanifold and δ > 1(n–1)p2 / 4n[p–1+(p–1)2kp], we prove a vanishing theorem for p-harmonic ℓ-forms.

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