CR-products of S-manifolds
On certain anti-invariant submanifolds of an S-manifold
Discrete Morse inequalities on infinite graphs.
A classification of certain submanifolds of an S-manifold
A classification theorem is obtained for submanifolds with parallel second fundamental form of an 𝑆-manifold whose invariant f-sectional curvature is constant.
Minimal slant submanifolds of the smallest dimension in S-manifolds.
We study slant submanifolds of S-manifolds with the smallest dimension, specially minimal submanifolds and establish some relations between them and anti-invariant submanifolds in S-manifolds, similar to those ones proved by B.-Y. Chen for slant surfaces and totally real surfaces in Kaehler manifolds.
Curvature properties of a semi-symmetric metric connection on S-manifolds
In this study, S-manifolds endowed with a semi-symmetric metric connection naturally related with the S-structure are considered and some curvature properties of such a connection are given. In particular, the conditions of semi-symmetry, Ricci semi-symmetry and Ricci-projective semi-symmetry of this semi-symmetric metric connection are investigated.
Generalized -space-forms
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