Publications [#383131] of Mark A. Stern

Papers Published

1. Stern, M, Lp-cohomology and the geometry of p-harmonic forms, vol. 816 (January, 2025), pp. 151-170 [doi]
   (last updated on 2026/01/13)

   Abstract:
   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.