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

Abstract

<abstract><p>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 $ \varphi $-pluriharmonicity of such submersions.</p></abstract>