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arXiv · 2010.05548

Second Order parallel tensor on generalized f.pk-space form and hypersurfaces of generalized f.pk-space form

Punam Gupta·Sanjay Kumar Singh
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Abstract

The purpose of the present paper to study a second order symmetric parallel tensor in generalized f.pk-space form. Second order symmetric parallel tensor in f.pk-space form is combination of the associated metric tensor and $1$-forms of structure vector fields. We prove that there does not exist second order skew-symmetric parallel tensor in f.pk-space form. We also deduce that there is no parallel hypersurface in a generalized f.pk-space form but there is semi-parallel hypersurfaces in a generalized f.pk-space form.

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Punam Gupta, Sanjay Kumar Singh. 2020-10-12. Second Order parallel tensor on generalized f.pk-space form and hypersurfaces of generalized f.pk-space form. https://arxiv.org/abs/2010.05548

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