Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 31, No. 1, pp. 35-46 (2015)

Intrinsic geometry of almost contact Kählerian manifolds

Sergei V. Galaev

Saratov State University

Abstract: In this paper, the notion of an almost contact Kählerian structure is introduced. The intrinsic geometry of almost contact Kählerian spaces is investigated. On the zero-curvature distribution of an almost contact metric structure, as on the total space of a vector bundle, an almost contact Kählerian structure is obtained.

Keywords: Intrinsic connection, extended connection, integrable admissible tensorial structure, almost contact Kählerian space, zero-curvature distribution.

Classification (MSC2000): 53D15; 70G45

Full text of the article:

[Previous Article] [Next Article] [Contents of this Number]
© 2015 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition