Abstract
AbstractIn the present paper, we find some characterization theorems. Under certain pinching conditions on the warping function satisfying some differential equation, we show that the base of warped product submanifolds of a Sasakian space form $\widetilde{M}^{2m+1}(\epsilon )$
M
˜
2
m
+
1
(
ϵ
)
is isometric either to a Euclidean space $\mathbb{R}^{n}$
R
n
or a warped product of a complete manifold N and the Euclidean line $\mathbb{R}$
R
.
Funder
Princess Nourah Bint Abdulrahman University
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
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