• Kyungpook Mathematical Journal
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• v.60 no.3
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• pp.599-627
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• 2020

In this paper, we characterize a class of biharmonic maps from and between doubly product manifolds in terms of theie warping function. Examples are constructed when all of the factors are Euclidean spaces.

• Honam Mathematical Journal
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• v.45 no.1
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• pp.25-41
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• 2023

In this paper, we study doubly warped product point-wise bi-slant submanfolds of S-space form. Here we try to establish an inequality containing the Ricci curvature, squared norm of mean curvature and the warping function.

• Communications of the Korean Mathematical Society
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• v.31 no.3
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• pp.625-635
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• 2016

In this paper, we study certain doubly-warped products which admit gradient Ricci solitons with harmonic Weyl curvature and non-constant soliton function. The metric is of the form $g=dx^2_1+p(x_1)^2dx^2_2+h(x_1)^2\;{\tilde{g}}$ on ${\mathbb{R}}^2{\times}N$, where $x_1$, $x_2$ are the local coordinates on ${\mathbb{R}}^2$ and ${\tilde{g}}$ is an Einstein metric on the manifold N. We obtained a full description of all the possible local gradient Ricci solitons.