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arXiv · 1011.5413

Remarks on $L^{p}$-vanishing results in geometric analysis

Stefano Pigola·Giona Veronelli
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Abstract

We survey some $L^{p}$-vanishing results for solutions of Bochner or Simons type equations with refined Kato inequalities, under spectral assumptions on the relevant Schr\"{o}dinger operators. New aspects are included in the picture. In particular, an abstract version of a structure theorem for stable minimal hypersurfaces of finite total curvature is observed. Further geometric applications are discussed.

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Stefano Pigola, Giona Veronelli. 2010-11-24. Remarks on $L^{p}$-vanishing results in geometric analysis. https://arxiv.org/abs/1011.5413

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