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Matematicheskie Zametki, 2004, Volume 75, Issue 5, Pages 744–756
DOI: https://doi.org/10.4213/mzm60 (Mi mzm60) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Classification of Two-Dimensional Surfaces with Zero Normal Torsion in Four-Dimensional Spaces of Constant Curvature

V. T. Fomenko

Taganrog State Pedagogical Institute
Full-text PDF (215 kB) Citations (9)
References:
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DOI: https://doi.org/10.4213/mzm60
Abstract: We introduce the notion of normal torsion of a surface at a point along a given direction in a Riemannian space. We give a complete classification of surfaces in four-spaces of constant curvature having zero normal torsion.
Received: 10.11.2001
Revised: 04.09.2003
English version:
Mathematical Notes, 2004, Volume 75, Issue 5, Pages 690–701
DOI: https://doi.org/10.1023/B:MATN.0000030977.00673.55
Bibliographic databases:
UDC: 513.74+514.75
Language: Russian
Citation: V. T. Fomenko, “Classification of Two-Dimensional Surfaces with Zero Normal Torsion in Four-Dimensional Spaces of Constant Curvature”, Mat. Zametki, 75:5 (2004), 744–756; Math. Notes, 75:5 (2004), 690–701
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    1. Abdigappar Narmanov, Eldor Rajabov, PROBLEMS IN THE TEXTILE AND LIGHT INDUSTRY IN THE CONTEXT OF INTEGRATION OF SCIENCE AND INDUSTRY AND WAYS TO SOLVE THEM: PTLICISIWS-2, 3045, PROBLEMS IN THE TEXTILE AND LIGHT INDUSTRY IN THE CONTEXT OF INTEGRATION OF SCIENCE AND INDUSTRY AND WAYS TO SOLVE THEM: PTLICISIWS-2, 2024, 040008  crossref
    2. I. I. Bodrenko, “Conditions for the Parallelism of the Normal Curvature Tensor of Submanifolds”, J Math Sci, 276:6 (2023), 695  crossref
    3. Abdigappar NARMANOV, Eldor RAJABOV, “The Geometry of Vector Fields and Two Dimensional Heat Equation”, International Electronic Journal of Geometry, 16:1 (2023), 73  crossref
    4. Abdigappar Narmanov, Bekzod Diyarov, V. Pukhkal, S. Uvarova, “On the geometry of Hamiltonian vector fields”, E3S Web of Conf., 458 (2023), 09013  crossref
    5. I. I. Bodrenko, “On Submanifolds with a Parallel Normal Vector Field in Spaces of Constant Curvature”, J Math Sci, 263:3 (2022), 351  crossref
    6. A Ya Narmanov, E O Rajabov, “Vector fields and differential equations”, J. Phys.: Conf. Ser., 2388:1 (2022), 012041  crossref
    7. I. I. Bodrenko, “Ob usloviyakh parallelnosti tenzora normalnoi krivizny podmnogoobrazii”, Trudy mezhdunarodnoi konferentsii «Klassicheskaya i sovremennaya geometriya», posvyaschennoi 100-letiyu so dnya rozhdeniya professora Vyacheslava Timofeevicha Bazyleva. Moskva, 22–25 aprelya 2019 g. Chast 3, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 181, VINITI RAN, M., 2020, 3–8  mathnet  crossref  mathscinet
    8. I. I. Bodrenko, “O podmnogoobraziyakh s parallelnym normalnym vektornym polem v prostranstvakh postoyannoi 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, 3–10  mathnet  crossref
    9. V. G. Sharmin, D. V. Sharmin, “Svoistva sfericheskogo obraza prostranstvennoi polosy v E4”, Izvestiya vysshikh uchebnykh zavedenii. Povolzhskii region. Fiziko-matematicheskie nauki, 2018, no. 1, 36–45  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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