We study metric structures on a smooth manifold (introduced in our recent works and called
a weak contact metric structure and a weak K-structure) which generalize the metric contact …

Weak almost contact manifolds, ie, the linear complex structure on the contact distribution is
replaced by a nonsingular skew-symmetric tensor, defined by the author and R. Wolak …

A weak metric $ f $-structure $(f, Q,\xi_i,\eta^ i, g)\(i= 1,\ldots, s) $, generalizes the metric $ f $-
structure on a smooth manifold, ie, the complex structure on the contact distribution is …

A weak metric f-structure on a smooth manifold generalizes the metric f-structure, ie, the
linear complex structure on the contact distribution is replaced with a nonsingular skew …

The object of the present paper is to study $ C_ {12} $-structures on a manifold with
Lorentzian metric. We focus here on Lorentzian $ C_ {12} $-structures, emphasizing their …

This study centers on the exploration of specific deformations applied to almost contact
metric manifolds, preserving the intrinsic structure of C 12-manifolds. Subsequently, our …