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

2020/10/12 by Punam Gupta, Sanjay Kumar Singh, Gupta, Punam +1 · 1 citation
Mathematics · Medicine · #53C21 #53C25 #53D10 #Advanced Neuroimaging Techniques and Applications #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Tensor decomposition and applications

paper · pdf · doi:10.48550/arxiv.2010.05548

openalex publication_date 2020/10/12 · openalex created_date 2020/10/15 · openalex updated_date 2026/07/28

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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