L 2 harmonic forms and finiteness of ends

In this paper, we obtain vanishing theorems and finitely many ends theorems of complete Riemannian manifolds with weighted Poincaré inequality, applying them to minimal hypersurfaces.

Bibliographic Details
Main Author: PENG ZHU
Format: Article
Language:English
Published: Academia Brasileira de Ciências 2013-06-01
Series:Anais da Academia Brasileira de Ciências
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652013000200457&lng=en&tlng=en