In the modern studies on differential geometry, a great importance is attached to the theory
of almost contact metric structures. The reasons for this lie in numerous applications of the …

Abstract Generalized Ricci-recurrent trans-Sasakian manifolds are studied. Among others, it
is proved that a generalized Ricci-recurrent cosymplectic manifold is always recurrent …

In 1999, Chen established a sharp relationship between the Ricci curvature and the squared
mean curvature for a submanifold in a Riemannian space form with arbitrary codimension …

In this article, we investigate the inequality between the warping function of a warped
product submanifold isometrically immersed in locally conformal almost cosymplectic …

Almost semi-invariant submanifolds of framed metric manifolds and S-manifolds are studied,
where the ambient manifolds generalize almostHermitian, Kaehler, almost contact metric …

Generic submanifolds of Sasakian manifolds and of framed f-manifolds have been studied
by the present authors (see [HA],[M2]), P. Verheyen [V], etc. In [O], JA Oubina introduced a …

BY Chen [Arch. Math.(Basel) 74 (2000), 154-160] proved a geometrical inequality for
Lagrangian submanifolds in complex space forms in terms of the Ricci curvature and the …

We deal with a manifold M endowed with a K-left invariant almost contact 3-structure. If, in
addition, M carries a framed f-structure local Hamiltonians and infinitesimal homotheties are …

We obtain the complete group of structure equations of a locally conformally almost
cosymplectic structure (an lc ACy-structure in what follows) and compute the components of …

For submanifolds tangent to the structure vector field in locally conformal almost
cosymplectic manifolds of pointwise constant φ-sectional curvature, we establish a basic …