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MG-deformations of a surface of positive Gaussian curvature under assignment of variation of any tensor along an edge - MaRDI portal

MG-deformations of a surface of positive Gaussian curvature under assignment of variation of any tensor along an edge (Q1703178)

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scientific article; zbMATH DE number 6845959
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MG-deformations of a surface of positive Gaussian curvature under assignment of variation of any tensor along an edge
scientific article; zbMATH DE number 6845959

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    MG-deformations of a surface of positive Gaussian curvature under assignment of variation of any tensor along an edge (English)
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    1 March 2018
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    In this paper, the author investigate the infinitesimal MG-deformations of a simply connected surface with positive Gaussian curvature. The paper is dedicated to the study of a boundary-value problem which can be reduced to the investigation of a solvability of the Riemann-Hilbert boundary problem and to calculation of its index. As a main result of this paper, the author obtained theorems of existence and uniqueness for the infinitesimal MG-deformation.
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    infinitesimal MG-deformations
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    simply-connected surface
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    Riemann-Hilbert boundary-value problem
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    index
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