V. S. Sobchuk, “Almost geodesic mappings of Riemann spaces onto symmetric Riemann spaces”, Mat. Zametki, 17:5 (1975), 757–763; Math. Notes, 17:5 (1975), 450

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Matematicheskie Zametki, 1975, Volume 17, Issue 5, Pages 757–763 (Mi mzm7596)

This article is cited in 11 scientific papers (total in 11 papers)

Almost geodesic mappings of Riemann spaces onto symmetric Riemann spaces

V. S. Sobchuk

Chernovtsy State University

Full-text PDF (446 kB) Citations (11)

Abstract: It is shown that if a Riemann space Vn admits a reduced almost geodesic mapping $\Pi_2$ onto a symmetric Riemann space $\overline V_n$, then $\overline V_n$ has constant curvature, and $V_n$ is itself a symmetric space.

Received: 27.07.1974

English version:
Mathematical Notes, 1975, Volume 17, Issue 5, Pages 450–454
DOI: https://doi.org/10.1007/BF01155802

Bibliographic databases:

UDC: 513.813

Language: Russian

Citation: V. S. Sobchuk, “Almost geodesic mappings of Riemann spaces onto symmetric Riemann spaces”, Mat. Zametki, 17:5 (1975), 757–763; Math. Notes, 17:5 (1975), 450–454

Citation in format AMSBIB

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\by V.~S.~Sobchuk

\paper Almost geodesic mappings of Riemann spaces onto symmetric Riemann spaces

\jour Mat. Zametki

\yr 1975

\vol 17

\issue 5

\pages 757--763

\mathnet{http://mi.mathnet.ru/mzm7596}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=407768}

\zmath{https://zbmath.org/?q=an:0315.53017|0314.53010}

\transl

\jour Math. Notes

\yr 1975

\vol 17

\issue 5

\pages 450--454

\crossref{https://doi.org/10.1007/BF01155802}

Linking options:

https://www.mathnet.ru/eng/mzm7596

https://www.mathnet.ru/eng/mzm/v17/i5/p757

This publication is cited in the following 11 articles:

L. Ryparova, I. Mikesh, P. Peshka, “Pochti geodezicheskie krivye i geodezicheskie otobrazheniya”, Materialy Mezhdunarodnoi konferentsii «Klassicheskaya i sovremennaya geometriya», posvyaschennoi 100-letiyu so dnya rozhdeniya professora Levona Sergeevicha Atanasyana (15 iyulya 1921 g.—5 iyulya 1998 g.). Moskva, 1–4 noyabrya 2021 g. Chast 2, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 221, VINITI RAN, M., 2023, 93–103
V. E. Berezovskii, S. V. Leschenko, I. Mikesh, “O kanonicheskikh pochti geodezicheskikh otobrazheniyakh pervogo tipa prostranstv affinnoi svyaznosti, pri kotorykh sokhranyaetsya tenzor Rimana”, Differentsialnye uravneniya i matematicheskaya fizika, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 226, VINITI RAN, M., 2023, 23–33
Patrik Peska, Vladimir Berezovski, Yevhen Cherevko, Milos Petrovic, “Canonical F-planar mappings of spaces with affine connection onto 3-symmetric spaces”, Filomat, 37:20 (2023), 6835
J. Mikeš, N. I. Guseva, P. Peška, L. Ryparova, “Almost Geodesic Mappings and Projections of the Sphere”, Math. Notes, 111:3 (2022), 498–502
V. E. Berezovskii, I. A. Kuzmina, J. Mikeš, “Canonical F-Planar Mappings of Spaces with Affine Connection to Two Symmetric Spaces”, Lobachevskii J Math, 43:3 (2022), 533
Vladimir Berezovski, Yevhen Cherevko, Irena Hinterleitner, Josef Mikes, “Canonical almost geodesic mappings of the first type onto generalized Ricci symmetric spaces”, Filomat, 36:4 (2022), 1089
P. Peška, J. Mikeš, L. Rýparová, “Almost Geodesic Curves as Intersections of n-Dimensional Spheres”, Lobachevskii J Math, 43:3 (2022), 687
Berezovski V. Cherevko Y. Leshchenko S. Mikes J., “Canonical Almost Geodesic Mappings of the First Type of Spaces With Affine Connection Onto Generalized 2-Ricci-Symmetric Spaces”, Proceedings of the Twenty-Second International Conference on Geometry, Integrability and Quantization, Proceedings of the International Conference on Geometry Integrability and Quantization, 22, ed. Mladenov I. Pulov V. Yoshioka A., Inst Biophysics & Biomedical Engineering Bulgarian Acad Sciences, 2021, 78–87
Berezovski V. Cherevko Y. Mikes J. Ryparova L., “Canonical Almost Geodesic Mappings of the First Type of Spaces With Affine Connections Onto Generalized M-Ricci-Symmetric Spaces”, Mathematics, 9:4 (2021), 437
Berezovski V. Mikes J. Ryparova L. Sabykanov A., “On Canonical Almost Geodesic Mappings of Type Pi(2)(E)”, Mathematics, 8:1 (2020), 54
V. E. Berezovskii, L. E. Kovalev, J. Mikeš, “On preservation of the Riemann tensor with respect to some mappings of space with affine connection”, Russian Math. (Iz. VUZ), 62:9 (2018), 1–6

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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