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http://dx.doi.org/10.5831/HMJ.2022.44.1.1

WARPED PRODUCT SKEW SEMI-INVARIANT SUBMANIFOLDS OF LOCALLY GOLDEN RIEMANNIAN MANIFOLDS  

Ahmad, Mobin (Department of Mathematics and Statistics, Faculty of Science, Integral University)
Qayyoom, Mohammad Aamir (Department of Mathematics and Statistics, Faculty of Science, Integral University)
Publication Information
Honam Mathematical Journal / v.44, no.1, 2022 , pp. 1-16 More about this Journal
Abstract
In this paper, we define and study warped product skew semi-invariant submanifolds of a locally golden Riemannian manifold. We investigate a necessary and sufficient condition for a skew semi-invariant submanifold of a locally golden Riemannian manifold to be a locally warped product. An equality between warping function and the squared normed second fundamental form of such submanifolds is established. We also construct an example of warped product skew semi-invariant submanifolds.
Keywords
golden structure; Riemannian manifold; skew semi-invariant submanifolds; mixed totally geodesics; mean curvature; sectional curvature;
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