Conformal-twisted product semi-slant submanifolds in globally conformal Kaehler manifolds

Authors : Sibel GERDAN AYDIN, Hakan Mete TAŞTAN

Pages : 1028-1046

Doi:10.15672/hujms.801651

View : 20 | Download : 9

Publication Date : 2021-08-06

Article Type : Research Paper

Abstract :We introduce the notion of conformal-twisted product submanifolds of the form $_fM^{T}\times_{b}M^{\theta}$ and $_fM^{\theta}\times_{b}M^{T}$, where $M^T$ is a holomorphic submanifold and $M^\theta$ is a proper slant submanifold of $M$ in a globally conformal Kaehler manifold and $f$ and $b$ are conformal factor and twisting function, respectively. We give necessary and sufficient conditions for proper semi-slant submanifold to be a locally conformal-twisted product for such submanifolds of the form $_fM^{T}\times_{b}M^{\theta}$ and $_fM^{\theta}\times_{b}M^{T}$. We establish a general inequality for the squared norm of second fundamental form of these types of submanifolds.
Keywords : twisted product manifold, holomorphic ditribution, locally and globally conformal Kaehler manifold, semi slant submanifold, slant distribution