Almost contact metric structures defined by an N-prolonged connection

2015/06/05 by Galaev, Sergey V.
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1506.01932

Abstract

On a manifold with an almost contact metric structure (φ,ξ,η,g,X,D) the notions of the interior and the N-prolonged connections are introduced. Using the N-prolonged connection, a new almost contact metric structure is defined on the distribution D. The properties of this structure are studied.

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