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 Schrödinger 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. © 2012 World Scientific Publishing Company
Pigola, S., Veronelli, G. (2012). Remarks on L p-vanishing results in geometric analysis. INTERNATIONAL JOURNAL OF MATHEMATICS, 23(1) [10.1142/S0129167X11007513].
Remarks on L p-vanishing results in geometric analysis
Pigola, S;Veronelli, G
2012
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 Schrödinger 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. © 2012 World Scientific Publishing Company
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
