A general Liouville-type result and a corresponding vanishing theorem are proved under minimal regularity assumptions. The latter is then applied to conformal deformations of stable minimal hypersurfaces, to the L2 cohomology of complete manifolds, to harmonic maps under various geometric assumptions, and to the topology of submanifolds of Cartan-Hadamard spaces with controlled extrinsic geometry.
Pigola, S., Rigoli, M., Setti, A. (2005). Vanishing theorems on Riemannian manifolds, and geometric applications. JOURNAL OF FUNCTIONAL ANALYSIS, 229(2), 424-461 [10.1016/j.jfa.2005.05.007].
Vanishing theorems on Riemannian manifolds, and geometric applications
Pigola, S;
2005
Abstract
A general Liouville-type result and a corresponding vanishing theorem are proved under minimal regularity assumptions. The latter is then applied to conformal deformations of stable minimal hypersurfaces, to the L2 cohomology of complete manifolds, to harmonic maps under various geometric assumptions, and to the topology of submanifolds of Cartan-Hadamard spaces with controlled extrinsic geometry.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Pigola-2015-J Funct Analysis-VoR.pdf
accesso aperto
Descrizione: Research Article
Tipologia di allegato:
Publisher’s Version (Version of Record, VoR)
Licenza:
Altro
Dimensione
349.12 kB
Formato
Adobe PDF
|
349.12 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
