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Mathematics of the USSR-Sbornik, 1972, Volume 18, Issue 1, Pages 61–81
DOI: https://doi.org/10.1070/SM1972v018n01ABEH001612
(Mi sm3217)
 

This article is cited in 2 scientific papers (total in 2 papers)

On a problem concerning the deformation of a surface with a flat point

Z. D. Usmanov
References:
Abstract: The objects investigated are simply connected pieces of surfaces of positive curvature with isolated flat points. Infinitesimal deformations under given boundary conditions are studied. The deformation situation depends essentially on the order of tangency of the surface with its tangent plane at the flat point, as well as on the index of the boundary condition.
The geometric results are based on the solution of the Riemann–Hilbert problem for generalized Cauchy–Riemann systems with singular coefficients.
Bibliography: 8 titles.
Received: 03.07.1971
Bibliographic databases:
UDC: 513.736.4+517.944
MSC: 53A05, 35Q15
Language: English
Original paper language: Russian
Citation: Z. D. Usmanov, “On a problem concerning the deformation of a surface with a flat point”, Math. USSR-Sb., 18:1 (1972), 61–81
Citation in format AMSBIB
\Bibitem{Usm72}
\by Z.~D.~Usmanov
\paper On~a~problem concerning the deformation of a~surface with a~flat point
\jour Math. USSR-Sb.
\yr 1972
\vol 18
\issue 1
\pages 61--81
\mathnet{http://mi.mathnet.ru//eng/sm3217}
\crossref{https://doi.org/10.1070/SM1972v018n01ABEH001612}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=313980}
\zmath{https://zbmath.org/?q=an:0258.53006}
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  • https://www.mathnet.ru/eng/sm3217
  • https://doi.org/10.1070/SM1972v018n01ABEH001612
  • https://www.mathnet.ru/eng/sm/v131/i1/p61
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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