Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Fredholm, Hodge and Liouville theorems on noncompact manifolds


Author: Robert Lockhart
Journal: Trans. Amer. Math. Soc. 301 (1987), 1-35
MSC: Primary 58G30; Secondary 47B38, 58A12
MathSciNet review: 879560
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Fredholm, Liouville, Hodge, and $ {L^2}$-cohomology theorems are proved for Laplacians associated with a class of metrics defined on manifolds that have finitely many ends. The metrics are conformal to ones that are asymptotically translation invariant. They are not necessarily complete. The Fredholm results are, of necessity, with respect to weighted Sobolev spaces. Embedding and compact embedding theorems are also proved for these spaces.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 58G30, 47B38, 58A12

Retrieve articles in all journals with MSC: 58G30, 47B38, 58A12


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1987-0879560-0
Article copyright: © Copyright 1987 American Mathematical Society