Geodesic
Lower Extremities for Generalized Normalized $\delta$-Casorati Curvatures of Bi-slant Submanifolds in Generalized Complex Space Forms
Kragujevac Journal of Mathematics, Tome 42 (2018) no. 4, p. 591 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Voir la notice de l'article

In this paper, we obtain the inequalities for the generalized normalized $\delta$-Casorati curvature and the normalized scalar curvature for different submanifolds in generalized complex space form, which is based on an optimization procedure involving a quadratic polynomial in the components of the second fundamental form and characterizes the submanifolds on which equalities hold. We also develop, the same inequalities for semi-slant, hemi-slant, CR, slant, invariant and anti-invariant submanifolds in the same target space and consider the equality case. Moreover, we obtain a geometric inequality involving Casorati curvature for warped product bi-slant submanifolds in same ambient and obtain an obstruction result.
Classification : 53B05 53B20, 53C40
Keywords: Casorati curvature, generalized complex space form, scalar curvature, warped product 
@article{KJM_2018_42_4_a10,
     author = {Mohd. Aquib and Mohammad Hasan Shahid and Mohammed Jamali},
     title = {Lower {Extremities} for {Generalized} {Normalized} $\delta${-Casorati} {Curvatures} of {Bi-slant} {Submanifolds} in {Generalized} {Complex} {Space} {Forms}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {591 },
     year = {2018},
     volume = {42},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2018_42_4_a10/}
}
TY  - JOUR
AU  - Mohd. Aquib
AU  - Mohammad Hasan Shahid
AU  - Mohammed Jamali
TI  - Lower Extremities for Generalized Normalized $\delta$-Casorati Curvatures of Bi-slant Submanifolds in Generalized Complex Space Forms
JO  - Kragujevac Journal of Mathematics
PY  - 2018
SP  - 591 
VL  - 42
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/KJM_2018_42_4_a10/
LA  - en
ID  - KJM_2018_42_4_a10
ER  - 
%0 Journal Article
%A Mohd. Aquib
%A Mohammad Hasan Shahid
%A Mohammed Jamali
%T Lower Extremities for Generalized Normalized $\delta$-Casorati Curvatures of Bi-slant Submanifolds in Generalized Complex Space Forms
%J Kragujevac Journal of Mathematics
%D 2018
%P 591 
%V 42
%N 4
%U http://geodesic.mathdoc.fr/item/KJM_2018_42_4_a10/
%G en
%F KJM_2018_42_4_a10
Mohd. Aquib; Mohammad Hasan Shahid; Mohammed Jamali. Lower Extremities for Generalized Normalized $\delta$-Casorati Curvatures of Bi-slant Submanifolds in Generalized Complex Space Forms. Kragujevac Journal of Mathematics, Tome 42 (2018) no. 4, p. 591 . http://geodesic.mathdoc.fr/item/KJM_2018_42_4_a10/