A note on invariant submanifolds of hyperbolic Sasakian manifolds

Document Type : Research Articles

Authors

1 Department of applied science and Humanities, UCER,Naini, Prayagraj, INDIA

2 Department of Mathematics, The University of Burdwan, Golapbag, Burdwan, West Bengal, India

3 Department of Mathematics & Astronomy, University of Lucknow, Lucknow, India

10.22080/cjms.2024.26628.1679

Abstract

The object of this article is to investigate some geometric conditions for an invariant submanifold of a hyperbolic Sasakian manifold. Additionally, we take into account a generalized quasiconformal curvature tensor on an invariant submanifold of a hyperbolic Sasakian manifold to be totally geodesic with certain geometric restrictions. Further we explore the characteristics of the conformal eta-Ricci-Yamabe soliton on such submanifold. In addition, we construct an example to verify our results.

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