$\varphi$-pluriharmonicity in quasi bi-slant conformal ${\xi }^{\perp }$-submersions: a comprehensive study

This paper delves into quasi bi-slant conformal ${\xi }^{\perp }$-submersions from Sasakian manifolds onto Riemannian manifolds, which is a generalization of quasi hemi-slant conformal submersions. Our research involves studying the integrability conditions for distributions, taking into account the geometry of their leaves. We also provide decomposition theorems for quasi bi-slant conformal ${\xi }^{\perp }$-submersions, and showcase non-trivial examples to illustrate our findings. Furthermore, we analyze the $\phi$-pluriharmonicity of such submersions.