Geometry of almost $3$-quasi-Sasakian manifolds of the second kind
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998). Moscow, November 1–4, 2021. Part 3, Tome 222 (2023), pp. 3-9
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In this paper, we define the structure of an almost $3$-quasi-Sasakian manifold of the second kind and prove that on a zero-curvature distribution of an almost quasi-Sasakian manifold, the structure of an almost $3$-quasi-Sasakian manifold is determined by a connection with skew-symmetric torsion.
Keywords:
sub-Riemannian manifold of contact type, almost contact metric manifold, interior connection, almost quasi-Sasakian manifold, skew-symmetric connection, almost $3$-quasi-Sasakian structure.
@article{INTO_2023_222_a0,
author = {S. V. Galaev},
title = {Geometry of almost $3${-quasi-Sasakian} manifolds of the second kind},
journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
pages = {3--9},
publisher = {mathdoc},
volume = {222},
year = {2023},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTO_2023_222_a0/}
}
TY - JOUR AU - S. V. Galaev TI - Geometry of almost $3$-quasi-Sasakian manifolds of the second kind JO - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory PY - 2023 SP - 3 EP - 9 VL - 222 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/INTO_2023_222_a0/ LA - ru ID - INTO_2023_222_a0 ER -
%0 Journal Article %A S. V. Galaev %T Geometry of almost $3$-quasi-Sasakian manifolds of the second kind %J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory %D 2023 %P 3-9 %V 222 %I mathdoc %U http://geodesic.mathdoc.fr/item/INTO_2023_222_a0/ %G ru %F INTO_2023_222_a0
S. V. Galaev. Geometry of almost $3$-quasi-Sasakian manifolds of the second kind. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998). Moscow, November 1–4, 2021. Part 3, Tome 222 (2023), pp. 3-9. http://geodesic.mathdoc.fr/item/INTO_2023_222_a0/