# Invariant Submanifolds of Sasakian Generalized-Sasakian-Space-Forms

## TL;DR

This paper investigates invariant submanifolds within Sasakian generalized-Sasakian-space-forms, providing conditions under which these submanifolds are totally geodesic, thus advancing understanding of their geometric properties.

## Contribution

It establishes new equivalent conditions characterizing when invariant submanifolds are totally geodesic in Sasakian generalized-Sasakian-space-forms.

## Key findings

- Derived conditions for invariant submanifolds to be totally geodesic
- Characterized geometric properties of invariant submanifolds
- Enhanced understanding of submanifold structure in generalized-Sasakian-space-forms

## Abstract

The object of this paper is to study the invariant submanifolds of Sasakian generalized-Sasakian-space-form. Here, we obtain some equivalent conditions for an invariant submanifold of a Sasakian generalized-Sasakian-space-forms to be totally geodesic.