N. S. Sinyukov, “Almost-geodesic mappings of affinely-connected spaces and $e$-structures”, Mat. Zametki, 7:4 (1970), 449–459; Math. Notes, 7:4 (1970), 272

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Matematicheskie Zametki, 1970, Volume 7, Issue 4, Pages 449–459 (Mi mzm9528)

This article is cited in 13 scientific papers (total in 13 papers)

Almost-geodesic mappings of affinely-connected spaces and $e$-structures

N. S. Sinyukov

The I. I. Mechnikov Odessa State University

Full-text PDF (1431 kB) Citations (13)

Abstract: A description is given of torsion-free affinely-connected spaces admitting of type I linear almost-geodesic mappings satisfying a reciprocity condition, and certain geometric objects are constructed which are invariant relative to canonical mappings of this type.

Received: 27.01.1969

English version:
Mathematical Notes, 1970, Volume 7, Issue 4, Pages 272–278
DOI: https://doi.org/10.1007/BF01151701

Bibliographic databases:

Document Type: Article

UDC: 513.78

Language: Russian

Citation: N. S. Sinyukov, “Almost-geodesic mappings of affinely-connected spaces and $e$-structures”, Mat. Zametki, 7:4 (1970), 449–459; Math. Notes, 7:4 (1970), 272–278

Citation in format AMSBIB

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\paper Almost-geodesic mappings of affinely-connected spaces and $e$-structures

\jour Mat. Zametki

\yr 1970

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\issue 4

\pages 449--459

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\transl

\jour Math. Notes

\yr 1970

\vol 7

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\pages 272--278

\crossref{https://doi.org/10.1007/BF01151701}

Linking options:

https://www.mathnet.ru/eng/mzm9528

https://www.mathnet.ru/eng/mzm/v7/i4/p449

This publication is cited in the following 13 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
J. Mikeš, N. I. Guseva, P. Peška, L. Ryparova, “Almost Geodesic Mappings and Projections of the Sphere”, Math. Notes, 111:3 (2022), 498–502
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
Berezovski V. Mikes J. Ryparova L. Sabykanov A., “On Canonical Almost Geodesic Mappings of Type Pi(2)(E)”, Mathematics, 8:1 (2020), 54
Josef Mikeš et al., Differential Geometry of Special Mappings, 2019
Josef Mikeš et al., Differential Geometry of Special Mappings, 2019
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
Mikes J. Stepanova E. Vanzurova A., “Differential Geometry of Special Mappings”, Differential Geometry of Special Mappings, Palacky Univ, 2015, 1–566
A. V. Emelianov, V. F. Kirichenko, “On $\pi_2$ Almost Geodesic Mappings of Almost Hermitian Manifolds”, Math. Notes, 90:4 (2011), 498–505
Emelyanov A.V., Streltsova I.S., “O pochti geodezicheskikh otobrazheniyakh klassa”, Estestvennye nauki, 2011, no. 2, 196–200
Emelyanov A.V., “O pochti geodezicheskikh otobrazheniyakh klassa $_2$ nekotorykh klassov $nk$-mnogoobrazii”, Izvestiya penzenskogo gosudarstvennogo pedagogicheskogo universiteta im. V.G. Belinskogo, 2011, no. 26, 93–97 On $_2$ almost geodesic mappings of some kinds $nk$-manifolds
H. Vavříková, J. Mikeš, O. Pokorná, G. Starko, “On the basic equations of the almost geodesic mappings of type $\pi\sb 2(e)$”, Russian Math. (Iz. VUZ), 51:1 (2007), 8–12

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

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