Contact Lie Form and Concircular Geometry of Locally Conformally Quasi-Sasakian Manifolds
Matematičeskie zametki, Tome 99 (2016) no. 1, pp. 42-54
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We introduce a class of almost contact metric structures admitting a locally concircular transformation into a quasi-Sasakian structure, namely, locally concircularly quasi-Sasakian structures. We obtain a criterion that singles out this subclass of structures from the class of locally conformally quasi-Sasakian structures. Some applications and generalizations of this result are obtained.
Keywords:
almost contact structure, concircular transformation, quasi-Sasakian manifold.
Mots-clés : quasi-Sasakian structure, conformal transformation, contact Lie form
Mots-clés : quasi-Sasakian structure, conformal transformation, contact Lie form
@article{MZM_2016_99_1_a4,
author = {V. F. Kirichenko and E. A. Pol'kina},
title = {Contact {Lie} {Form} and {Concircular} {Geometry} of {Locally} {Conformally} {Quasi-Sasakian} {Manifolds}},
journal = {Matemati\v{c}eskie zametki},
pages = {42--54},
publisher = {mathdoc},
volume = {99},
number = {1},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2016_99_1_a4/}
}
TY - JOUR AU - V. F. Kirichenko AU - E. A. Pol'kina TI - Contact Lie Form and Concircular Geometry of Locally Conformally Quasi-Sasakian Manifolds JO - Matematičeskie zametki PY - 2016 SP - 42 EP - 54 VL - 99 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2016_99_1_a4/ LA - ru ID - MZM_2016_99_1_a4 ER -
V. F. Kirichenko; E. A. Pol'kina. Contact Lie Form and Concircular Geometry of Locally Conformally Quasi-Sasakian Manifolds. Matematičeskie zametki, Tome 99 (2016) no. 1, pp. 42-54. http://geodesic.mathdoc.fr/item/MZM_2016_99_1_a4/