This article covers the geometric study of pointwise slant and pointwise
semi-slant submanifolds of a para-Cosymplectic manifold M? 2m+1 with the
semi-Riemannian metric. We give an advanced definition of these type of
submanifolds for the spacelike and timelike vector fields. We obtain the
characterization results for the involutive and totally geodesic foliation
for such type of manifold M? 2m+1.
We generalize the study of pointwise slant lightlike submanifolds of indefinite cosymplectic manifold. We prove the existence of semi-Riemannian screen distribution when the rank of radical is less than the index of a manifold and give a generalized definition of pointwise slant lightlike submanifolds. Also, we have constructed examples showing timelike components in screen distribution and derived the condition for pointwise slant lightlike submanifolds, which helps to conclude various related results. We studied pointwise slant lightlike submanifolds under different conditions, like totally umbilical and minimal lightlike, and obtained results.
Mathematical Subjclass Classfication(2020): 53C12, 53C25, 53B25, 53B30, 53D10.
The aim of this paper is to study the warped product pointwise semislant submanifolds in the para-cosymplectic manifold with the semi-Riemannian metric. For which, firstly we provide the more generalized definition of pointwise slant submanifolds and related characterization results followed by the definition of pointwise slant distributions and pointwise semislant submanifolds. We also derive some results for different foliations on distribution, and lastly, we defined pointwise semislant warped product submanifold, given existence and nonexistence results, basic lemmas, theorems, and optimal inequalities for the ambient manifold.
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