Abstract
In this paper, we prove that the squared norm of the second fundamental form for bi-slant submanifolds with any codimension of nearly trans-Sasakian manifolds is bounded below by the gradient of a warping function and also find the conditions on which the equality holds. Some related examples are also provided.
Highlights
In 1969, the idea of warped product manifolds was initiated by R.L
Geometers are attracted to work on warped product manifolds
Chen [4] has introduced the notion of a CR-warped product submanifold in a Kaehler manifold and established a general inequality for a CR-warped product submanifold in the same ambient manifold
Summary
In 1969, the idea of warped product manifolds was initiated by R.L. Bishop and B. 4, we define an orthonormal frame for warped product bi-slant submanifolds of an arbitrary nearly trans-Sasakian manifold and we establish a sharp inequality for the second funda- 5, we investigate the triviality of warped product bi-slant submanifolds in nearly trans-Sasakian manifolds and some non-trivial examples are provided.
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