This is a preview of subscription content, log in via an institution to check access.
References
V. I. Kuz'minov and I. A. Shvedov, “On normal solvability of the operator of exterior derivation on warped products,” Sibirsk. Mat. Zh.,37, No. 3,324–337 (1996).
J. Cheeger, “On the Hodge theory of Riemannian pseudomanifolds,” Proc. Sympos. Pure Math.,36, 93–146 (1980).
V. M. Gol'dshteîn, V. I. Kuz'minov, and I. A. Shvedov, “On normal and compact solvability of the operator of exterior derivation for homogeneous boundary value conditions,” Sibirsk. Mat. Zh.,28, No. 4, 82–96 (1987).
V. M. Gol'dshteîn, V. I. Kuz'minov, and I. A. Shvedov, “Normal and compact solvability of linear operators,” Sibirsk. Mat. Zh.,30, No. 5, 49–59 (1989).
V. I. Kuz'minov and I. A. Shvedov, “On normal solvability of the exterior differentiation on a warped cylinder,” Sibirsk. Mat. Zh.,34, No. 1, 85–95 (1993).
A. Baider, “Noncompact Riemannian manifolds with discrete spectra,” J. Differential Geom.,14, No. 1, 41–57 (1979).
V. I. Kuz'minov and I. A. Shvedov, “On compact solvability of the operator of exterior derivation,” Sibirsk. Mat. Zh.,38, No. 3, 573–590 (1997).
Additional information
The research was supported by the International Science Foundation (Grant NQ9000).
Novosibirsk. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 38, No. 6, pp. 1300–1307, November–December, 1997.
Rights and permissions
About this article
Cite this article
Kopylov, Y.A. On normal solvability of the operator of exterior derivation on a surface of revolution. Sib Math J 38, 1130–1136 (1997). https://doi.org/10.1007/BF02675939
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02675939