Author:
Gnandi Emmanuel,Puechmorel Stéphane
Abstract
A dualistic structure on a smooth Riemaniann manifold M is a triple (M,g,∇) with g a Riemaniann metric and ∇ an affine connection generally assumed to be torsionless. From g and ∇, dual connection ∇* can be defined. In this work, we give conditions on the basis of this notion for a manifold to admit an almost contact structure and some related structures: almost contact metric, contact, contact metric, cosymplectic, and co-Kähler in the three-dimensional case.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)