V. I. Kuz'minov, I. A. Shvedov, “On the operator of exterior derivation on the Riemannian manifolds with cylindrical ends”, Sibirsk. Mat. Zh., 2007, Volume 48, Number 3,Pages <nobr>621

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On the operator of exterior derivation on the Riemannian manifolds with cylindrical ends

V. I. Kuz'minov, I. A. Shvedov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: We formulate some conditions for the normal and compact solvability of the operator of exterior derivation on the cylindrical manifolds equipped with some Riemannian metrics. Some analogous results were obtained in the particular case of warped cylinders [1].

Keywords: differential form, normal and compact solvability of linear operators, Hardy's inequality.

UDC: 515.164.13

Received: 10.01.2007