A note on submanifolds of $\bar{M}^{2n+1}(f_1,f_2,f_3)$ with respect to certain connections

TL;DR

This paper investigates the properties of almost semi-invariant submanifolds within generalized Sasakian-space-forms under various specialized connections, extending previous results in differential geometry.

Contribution

It introduces new results on submanifolds of generalized Sasakian-space-forms with respect to multiple connections, broadening understanding of their geometric structures.

Findings

Results on submanifold properties under semisymmetric metric connection

Findings on submanifold behavior with Schouten-van Kampen connection

Extensions of previous work on semi-invariant submanifolds

Abstract

The present paper deals with some results of almsot semi-invariant submanifolds of generalized Sasakian-space-forms in \cite{ALEGRE3} with respect to semisymmetric metric connection, semisymmetric non-metric connection, Schouten-van Kampen connection and Tanaka-Webster connection.