|
This article is cited in 3 scientific papers (total in 3 papers)
Functional moduli of singularities of convex hulls of manifolds of codimensions 1 and 2
V. D. Sedykh
Abstract:
In this paper we study singularities of convex hulls of smooth submanifolds of an affine space whose codimension is not greater than two. We prove that in spaces of dimension five or higher some of these singularities have functional moduli with respect to the group of diffeomorphisms of the ambient space that cannot be removed by small deformations of the manifold.
Bibliography: 2 titles.
Full text:
PDF file (913 kB)
References:
PDF file
HTML file
English version:
Mathematics of the USSR-Sbornik, 1984, 47:1, 223–236
Bibliographic databases:
UDC:
513.7+517.5
MSC: Primary 32B15; Secondary 32B30, 32C40 Received: 01.07.1981
Citation:
V. D. Sedykh, “Functional moduli of singularities of convex hulls of manifolds of codimensions 1 and 2”, Mat. Sb. (N.S.), 119(161):2(10) (1982), 233–247; Math. USSR-Sb., 47:1 (1984), 223–236
Citation in format AMSBIB
\Bibitem{Sed82}
\by V.~D.~Sedykh
\paper Functional moduli of singularities of convex hulls of manifolds of codimensions~1 and~2
\jour Mat. Sb. (N.S.)
\yr 1982
\vol 119(161)
\issue 2(10)
\pages 233--247
\mathnet{http://mi.mathnet.ru/msb2846}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=675195}
\zmath{https://zbmath.org/?q=an:0521.58008|0509.58005}
\transl
\jour Math. USSR-Sb.
\yr 1984
\vol 47
\issue 1
\pages 223--236
\crossref{https://doi.org/10.1070/SM1984v047n01ABEH002639}
Linking options:
http://mi.mathnet.ru/eng/msb2846 http://mi.mathnet.ru/eng/msb/v161/i2/p233
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
-
V. D. Sedykh, “Stabilization of singularities of convex hulls”, Math. USSR-Sb., 63:2 (1989), 499–505
-
Aicardi F., “On the Classification of Singularities in Thermodynamics”, Physica D, 158:1-4 (2001), 175–196
-
A. A. Davydov, V. M. Zakalyukin, “Controllability of non-linear systems: generic singularities and their stability”, Russian Math. Surveys, 67:2 (2012), 255–280
|
Number of views: |
This page: | 220 | Full text: | 63 | References: | 25 |
|