A note on almost contact metric hypersurfaces of nearly Kahlerian 6-sphere

Authors

  • M. Banaru Smolensk State University, Russia
  • G. Banaru Smolensk State University, Russia

Keywords:

almost contact metric structure, nearly cosymplectic structure, nearly Kahlerian manifold, almost Hermitian manifold, six-dimensional sphere, totally geodesic hypersurface, type number

Abstract

It is proved that the almost contact metric structure induced on a totally geodesic hypersurface of the nearly Kahlerian six-dimensional sphere S6 is necessarily nearly cosymplectic.

Author Biographies

M. Banaru, Smolensk State University, Russia

Chair of Mathematics and Informatics

G. Banaru, Smolensk State University, Russia

Chair of Applied Mathematics

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Published

2011-01-07

Issue

Vol. 3(52) (2010)

Section

MATHEMATICS