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

V. I. Kuz’minov,I. A. Shvedov

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

2007

V. I. Kuz’minov
I. A. Shvedov

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:

Mathematical analysis
Isometry (Riemannian geometry)
Isothermal coordinates
Curvature of Riemannian manifolds
Ricci-flat manifold
Fundamental theorem of Riemannian geometry
Laplace–Beltrami operator
Manifold
Riemannian geometry
Mathematics
Topology
Riemannian submersion

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