Open AccessChen’s improved inequality for pointwise hemi-slant warped products in Kaehler manifolds
Author(s) -
F Monia Naghi,
Mića S. Stankovic,
Fatimah Alghamdi
Publication year - 2020
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2003807n
Subject(s) - pointwise , mathematics , image warping , chen , pure mathematics , norm (philosophy) , product (mathematics) , function (biology) , mathematical analysis , geometry , computer science , artificial intelligence , paleontology , evolutionary biology , political science , law , biology
Recently, B.-Y. Chen discovered a technique to find the relation between second fundamental form and the warping function of warped product submanifolds. In this paper, we extend our further study of [24] by giving non-trivial examples of warped product pointwise hemi-slant submanifolds. Finally, we establish a sharp estimation for the squared norm of the second fundamental form ||h||2 in terms of the warping function f. The equality case is also investigated.