Electronic Resource
Springer
Geometriae dedicata
53 (1994), S. 103-117
ISSN:
1572-9168
Keywords:
53C22
;
53C50
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Semi-Riemannian manifolds with a suitable set of conformal symmetries are shown to be complete. Locally warped products are studied and warped-completeness is introduced. In the case of definite and complete basis, several assumptions on the growth of the warping function yield some of the three kinds of completeness. The case of 1-dimensional basis (including a known family of relativistic space-times) is specially studied. Null warped-completeness is related to the completeness of a certain conformal metric on the basis. Several examples and counter-examples explaining the main results are also given.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01264047
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