Generalized (\kappa,\mu)-space forms
Alfonso Carriazo, Ver\'onica Mart\'in-Molina, Mukut Mani Tripathi
TL;DR
This paper introduces and studies generalized ( f4)-space forms, focusing on contact metric and trans-Sasakian cases, providing examples across all dimensions.
Contribution
It extends the theory of ( f4)-space forms by defining generalized versions and analyzing their properties in various geometric contexts.
Findings
Characterization of generalized ( f4)-space forms
Examples provided for all dimensions
Analysis of contact metric and trans-Sasakian cases
Abstract
Generalized (\kappa ,\mu)-space forms are introduced and studied. We examine in depth the contact metric case and present examples for all possible dimensions. We also analyse the trans-Sasakian case.
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