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Investigations in the theory of surfaces in manifolds with curvature of constant sign. - MaRDI portal

Investigations in the theory of surfaces in manifolds with curvature of constant sign. (Q2733972)

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scientific article; zbMATH DE number 1633338
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Investigations in the theory of surfaces in manifolds with curvature of constant sign.
scientific article; zbMATH DE number 1633338

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    13 August 2001
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    Surfaces
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    Manifolds
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    Curvature
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    Constant sign
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    Investigations in the theory of surfaces in manifolds with curvature of constant sign. (English)
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    The articles of this volume will be announced individually.NEWLINENEWLINENEWLINE Contents: A. Artykbaev, Classification of the points of a surface in a Galilei space (pp. 3-7); T. V. Golubtsova, Periodic hypersurfaces in the Euclidean space \(E_{n+1}\) with a given mean curvature (pp. 8-16); A. I. Dolgarev, EM-spaces (pp. 17-27); V. N. Kokarev, An estimate for the principal radii of curvature of a closed convex hypersurface with a given elementary symmetric function of the conditional radii of curvature (pp. 28-37); S. M. Kolyadov, Closed convex regular surfaces with a given combination of elementary symmetric functions in \(E^3\) (pp. 38-50); Yu. G. Kryachkov, Two-dimensional spherically one-sheeted surfaces in \(E^n\) (pp. 51-55); L. V. Kuchma, An analogue of the Christoffel problem for a certain class of two-dimensional noncompact surfaces in \(E^4\) (pp. 56-63); V. L. Kobelskij, Realization of the homology modules of higher-dimensional links (pp. 64-67); A. P. Karp, The Minkowski problem for nonclosed two-dimensional surfaces in \(E^4\) (pp. 68-70); T. Yu. Maksimova, Enveloping families of asymptotics (pp. 71-76); T. M. Puolokainen, The smallest supersolution of the equation of a surface with given density of integral mean curvature (pp. 77-80); V. V. Teplyakov, Hypersurfaces with a linear bound on the principal radii of curvature (pp. 81-83); T. Tukanaev, Noncompact hypersurfaces in \(E^{n+1}\) with a given sum of principal radii of curvature, given as a function of the normal (pp. 84-91); Yu. G. Fomicheva, A theorem on the existence in \(E^3\) of a surface with given negative Gaussian curvature and with a bijective spherical mapping onto an open half sphere (pp. 92-97); V. G. Sharmin, Spherical mappings of a spatial strip (pp. 98-100).NEWLINENEWLINEIndexed articles:NEWLINENEWLINE\textit{Artykbaev, A.}, Classification of the points of a surface in a Galilei space, 3-7 [Zbl 0966.53514]NEWLINENEWLINE\textit{Golubtsova, T. V.}, Periodic hypersurfaces in the Euclidean space \(E_{n+1}\) with prescribed mean curvature, 8-16 [Zbl 0966.53508]NEWLINENEWLINE\textit{Dolgarëv, A. I.}, EM-spaces, 17-27 [Zbl 0966.53515]NEWLINENEWLINE\textit{Kokarev, V. N.}, An estimate for the principal radii of curvature of a closed convex hypersurface with a given elementary symmetric function of the conditional radii of curvature, 28-37 [Zbl 0966.53504]NEWLINENEWLINE\textit{Kolyadov, S. M.}, Closed convex regular surfaces with a given combination of elementary symmetric functions in \(E^3\), 38-50 [Zbl 0966.53527]NEWLINENEWLINE\textit{Kryachkov, Yu. G.}, Two-dimensional spherically one-sheeted surfaces in \(E^n\), 51-55 [Zbl 0966.53510]NEWLINENEWLINE\textit{Kuchma, L. V.}, An analogue of the Christoffel problem for a certain class of two-dimensional noncompact surfaces in \(E^4\), 56-63 [Zbl 0966.53503]NEWLINENEWLINE\textit{Kobel'skiĭ, V. L.}, Realization of the homology modules of higher-dimensional links, 64-67 [Zbl 0966.57500]NEWLINENEWLINE\textit{Maksimova, T. Yu.}, Enveloping families of asymptotics, 71-76 [Zbl 0966.53501]NEWLINENEWLINE\textit{Puolokajnen, T. M.}, The smallest supersolution of the equation of a surface with given density of integral mean curvature, 77-80 [Zbl 0966.53511]NEWLINENEWLINE\textit{Teplyakov, V. V.}, Hypersurfaces with a linear bound on the principal radii of curvature, 81-83 [Zbl 0966.53505]NEWLINENEWLINE\textit{Tukanaev, T.}, Noncompact hypersurfaces in \(E^{n+1}\) with a given sum of principal radii of curvature, given as a function of the normal, 84-91 [Zbl 0966.53506]NEWLINENEWLINE\textit{Fomicheva, Yu. G.}, A theorem on the existence in \(E^3\) of a surface with given negative Gaussian curvature and with a bijective spherical mapping onto an open half sphere, 92-97 [Zbl 0966.53500]NEWLINENEWLINE\textit{Sharmin, V. G.}, Spherical mappings of a spatial strip, 98-100 [Zbl 0966.53509]
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