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In this note we describe basic geometric properties of p-harmonic forms and p-coclosed forms and use them to reprove vanishing theorems of Pansu and new injectivity theorems for the Lp -cohomology of simply connected, pinched negatively curved manifolds. We also provide a partial resolution of a conjecture of Gromov on the vanishing of Lp -cohomology on symmetric spaces.
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Mark Stern (Thu,) studied this question.
www.synapsesocial.com/papers/68e720d3b6db64358769a602 — DOI: https://doi.org/10.48550/arxiv.2403.19481
Mark Stern
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