Chaki and Deszcz submanifolds of Kenmotsu manifolds

Abstract

UDC 514.7

We study invariant submanifolds of Kenmotsu manifolds with particular emphasis on their geometric structures under different connections. We first examine the intrinsic and extrinsic properties of  submanifolds of this kind in the context of the Levi–Civita connection and then extend the investigation to the framework of the semisymmetric metric connection. Special attention is given to the characterization of Ricci solitons on invariant submanifolds, where the influence of both connections is carefully analyzed. The obtained results not only highlight the interplay between invariant submanifolds and the ambient Kenmotsu structure but also contribute to the broader understanding of the Ricci soliton geometry in the setting of contact metric manifolds.