Geodesic
Generalization for transformations of $T^1$-bundle which induced by conformal transformations of their base
Sbornik. Mathematics, Tome 202 (2011) no. 5, pp. 665-682 Cet article a éte moissonné depuis la source Math-Net.Ru

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Induced transformations of an almost contact metric structure on the total space of a principal $T^1$-bundle over an almost Hermitian manifold are considered. The concept of a generalized conformal transformation is introduced. The invariance of classes of almost contact metric manifolds with respect to some generalized conformal transformations is studied. Bibliography: 6 titles.
Keywords: almost contact metric structure, principal $T^1$-bundle.
Mots-clés : conformal transformation 
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     title = {Generalization for transformations of $T^1$-bundle which induced by conformal transformations of their base},
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L. A. Ignatochkina. Generalization for transformations of $T^1$-bundle which induced by conformal transformations of their base. Sbornik. Mathematics, Tome 202 (2011) no. 5, pp. 665-682. http://geodesic.mathdoc.fr/item/SM_2011_202_5_a2/

[1] V. F. Kirichenko, N. S. Baklashova, “The geometry of contact Lee forms and a contact analog of Ikuta's theorem”, Math. Notes, 82:3–4 (2007), 309–320 | DOI | MR | Zbl

[2] V. F. Kirichenko, N. N. Dondukova, “Contactly geodesic transformations of almost-contact metric structures”, Math. Notes, 80:1–2 (2006), 204–213 | DOI | MR | Zbl

[3] V. F. Kirichenko, “Differentsialnaya geometriya glavnykh toroidalnykh rassloenii”, Fundament. i prikl. matem., 6:4 (2000), 1095–1120 | MR | Zbl

[4] V. F. Kirichenko, I. V. Uskorev, “Invariants of conformal transformations of almost contact metric structures”, Math. Notes, 84:5–6 (2008), 783–794 | DOI | MR

[5] V. F. Kirichenko, Differentsialno-geometricheskie struktury na mnogoobraziyakh, Tipografiya MPGU, M., 2003

[6] I. P. Borisovskii, O geometrii glavnykh $T^1$-rassloenii nad pochti ermitovymi mnogoobraziyami, dep. v VINITI 3729-V97