Decomposition of the space of covariant two-tensors on R3

Details Decomposition of the space of covariant two-tensors on R3 Decomposition of the space of covariant two-tensors on R3

Sep 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982gregr..14..743c&link_type=abstract

General Relativity and Gravitation, Volume 14, Issue 9, pp.743-749

Computer Science

6

Scientific paper

We show that the decomposition of the space of covariant two-tensors onR 3 is true in weighted Hölderian spaces, as in weighted Sobolev spaces, in the general case, that is without supposing the metric near the flat metric. M. Cantor proved, first, that a splitting of two-covariant tensor fields onR n in weighted Sobolev spaces was true. We apply this result to solve the problem of constraints, in general relativity; we show that this problem admits a solution in the most general case.

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