Abstract:
We supply a proof of the single-valued determination of closed locally convex surfaces of genus p⩾1 in a space of constant curvature with point type exterior connections.
Citation:
V. T. Fomenko, “Single-valued determination of closed surfaces of genus p⩾1 in a space of constant curvature”, Mat. Zametki, 16:3 (1974), 441–445; Math. Notes, 16:3 (1974), 852–854
\Bibitem{Fom74}
\by V.~T.~Fomenko
\paper Single-valued determination of closed surfaces of genus $p\ge1$ in a~space of constant curvature
\jour Mat. Zametki
\yr 1974
\vol 16
\issue 3
\pages 441--445
\mathnet{http://mi.mathnet.ru/mzm7479}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=375170}
\zmath{https://zbmath.org/?q=an:0307.53027}
\transl
\jour Math. Notes
\yr 1974
\vol 16
\issue 3
\pages 852--854
\crossref{https://doi.org/10.1007/BF01148134}
Linking options:
https://www.mathnet.ru/eng/mzm7479
https://www.mathnet.ru/eng/mzm/v16/i3/p441
This publication is cited in the following 3 articles:
S. B. Klimentov, “Ob izgibaniyakh poverkhnostei roda p≥1 polozhitelnoi vneshnei krivizny”, Materialy mezhdunarodnoi konferentsii “Geometricheskie metody v teorii upravleniya i matematicheskoi fizike”, posvyaschennoi 70-letiyu S.L. Atanasyana, 70-letiyu I.S. Krasilschika, 70-letiyu A.V. Samokhina, 80-letiyu V.T. Fomenko. Ryazanskii gosudarstvennyi universitet im. S.A. Esenina, Ryazan, 25–28 sentyabrya 2018 g. Chast 2, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 169, VINITI RAN, M., 2019, 17–22
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