Conformal semi-invariant Riemannian maps to Sasakian manifolds

Year 2025, Volume: 74 Issue: 1, 56 - 67

Murat Polat , Sümeyye Karagöl

Abstract

The idea of conformal semi-invariant Riemannian maps to almost Hermitian manifolds was first put forward by Şahin and Akyol in [3]. In this paper, we expand this idea to Sasakian manifolds which are almost contact metric manifolds. Hereby, we present conformal semi-invariant Riemannian maps from Riemannian manifolds to Sasakian manifolds. Then, we prepare a illustrative example and investigate the geometry of the leaves of $D_1$, $D_2$, $\overline{D}_1$ and $\overline{D}_2$. We find necessary and sufficient conditions for conformal semi-invariant Riemannian maps to be totally geodesic. Also, we investigate the harmonicity of such maps.

Keywords

Semi-invariant Riemannian map, conformal semi-invariant Riemannian map, Sasakian manifolds

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