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[PDF] Catenary and singular minimal surfaces in the simply isotropic space

LCB da Silva, R López – arXiv preprint arXiv:2209.01631, 2022

This paper investigates the hanging chain problem in the simply isotropic plane as
well as its 2-dimensional analog in the simply isotropic space. The simply isotropic
plane and space are two-and three-dimensional geometries equipped with a …

Geometric inequalities of $\mathcal {PR} $-warped product submanifold in para-Kenmotsu manifold

F Mofarreh, SK Srivastava, A Kumar, A Ali – AIMS Mathematics, 2022

The main purpose of this paper is to study the properties of $\mathcal {PR} $-semi- invariant submanifold of para-Kenmotsu manifold. We obtain the integrability conditions for the invariant distribution and anti-invariant distribution. We obtain …