A note on generalized S-space-forms

TL;DR

This paper proves that in generalized S-space-forms, the functions F7 and F8 are always equal, clarifying a specific property of these geometric structures.

Contribution

It establishes that F7 always equals F8 in generalized S-space-forms, resolving a previously unclear aspect of their structure.

Findings

F7 equals F8 in generalized S-space-forms

Clarifies the relationship between structure functions in these forms

Provides a theoretical result in differential geometry

Abstract

It is shown that, in a generalized S-space-form, $F_{7}$ always equals $F_{8}$.