A useful orthonormal basis on bi-slant submanifolds of almost Hermitian manifolds

Gülbahar, MehmetKiliç, ErolKeleş, Sadik2024-12-242024-12-2420160049-2930https://doi.org10.5556/j.tkjm.47.2016.1748https://hdl.handle.net/20.500.12604/3797In this paper, we study bi-slant submanifolds of an almost Hermitian manifold for different cases. We introduce a new orthonormal basis on bi-slant submanifold, semi-slant submanifold and hemi-slant submanifold of an almost Hermitian manifold to compute Chen's main inequalities. We investigate these inequalities for semi-slant submanifolds, hemi-slant submanifolds and slant submanifolds of a generalized complex space form. We obtain some characterizations on such submanifolds of a complex space form. © 2016, Tamkang University. All rights reserved.eninfo:eu-repo/semantics/openAccessAlmost Hermitian manifoldComplex space formSlant submanifoldA useful orthonormal basis on bi-slant submanifolds of almost Hermitian manifoldsArticle472143161Q22-s2.0-8496976101510.5556/j.tkjm.47.2016.1748