Abstract
PurposeBi-slant submanifolds of S-manifolds are introduced, and some examples of these submanifolds are presented.Design/methodology/approachSome properties of Di-geodesic and Di-umbilical bi-slant submanifolds are examined.FindingsThe Riemannian curvature invariants of these submanifolds are computed, and some results are discussed with the help of these invariants.Originality/valueThe topic is original, and the manuscript has not been submitted to any other journal.
Highlights
Slant submanifolds were firstly introduced by B
Chen as a generalization of invariant and anti-invariant submanifolds of Kaehler manifolds and initial computations, results and examples of these kinds of submanifolds were presented in his book [1]
A submanifold M of an almost Hermitian manifold involving an almost complex structure J is called a slant submanifold if the angle between JXp and Xp is independent of choosing of point p ∈ M and every non-zero tangent vector Xp
Summary
Slant submanifolds were firstly introduced by B. From the definition of slant submanifolds, the concept of slanting can be carried to distributions in the tangent bundle on a Riemannian manifold. Bi-slant submanifolds of almost Hermitian manifolds were defined by A. A submanifold M of an almost Hermitian manifold is called a bi-slant submanifold if there exist two orthogonal slant distributions, D1 and D2, on tangent bundle TM of M with slant angles θ1 and θ2, respectively, such that one writes. The authors are thankful to the referees for their valuable comments towards the improvement of the paper
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