Second Order parallel tensor on generalized f.pk-space form and hypersurfaces of generalized f.pk-space form
Differential Geometry
2021-09-06 v2
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 -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.
Keywords
Cite
@article{arxiv.2010.05548,
title = {Second Order parallel tensor on generalized f.pk-space form and hypersurfaces of generalized f.pk-space form},
author = {Punam Gupta and Sanjay Kumar Singh},
journal= {arXiv preprint arXiv:2010.05548},
year = {2021}
}
Comments
Published in Differential Geometry & Dynamical Systems