Almost contact metric structures defined by connection over distribution

Authors

  • A.V. Bukusheva Saratov State University, Russia
  • S.V. Galaev Saratov State University, Russia

Keywords:

almost contact manifold, Sasakian manifold, the intrinsic geometry of almost contact metric manifolds, admissible Finslerian metric

Abstract

In this paper, the notion of the intrinsic geometry of an almost contact metric manifold D is introduced and studied. Using this and the extended connection on D as on the total space of a vector bundle, an almost contact metric structure is defined and investigated.

Author Biographies

A.V. Bukusheva, Saratov State University, Russia

Chair of Geometry, Astrakhanskaya 83, 410012 Saratov

S.V. Galaev, Saratov State University, Russia

Chair of Geometry, Astrakhanskaya 83, 410012 Saratov

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Published

2011-07-26

Issue

Vol. 4(53) No. 1 (2011)

Section

MATHEMATICS