On certain structures on the frame bundle of an almost para-contact metric manifold
Bonome, A., Castro, R., Tarrio, A. (1988)
Portugaliae mathematica
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On certain structures on the frame bundle of an almost para-contact metric manifold
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Nikolskii spaces were defined by way of translations on and by way of coordinate maps on a differentiable manifold. In this paper we prove that, for functions with compact support in , we get an equivalent definition if we replace translations by all isometries of . This result seems to justify a definition of Nikolskii type function spaces on riemannian manifolds by means of a transitive group of isometries (provided that one exists). By approximation theorems, we prove that - for...