Geodesic
A Lower Bound of normalized scalar curvature for bi-slant submanifolds in generalized Sasakian space forms using Casorati curvatures
Aliya Naaz Siddiqui1 ; Mohammad Hasan Shahid2 ; Aliya Naaz Siddiqui ; Mohammad Hasan Shahid
1Jamia Millia Islamia University
2Department of Mathematics, Jamia Millia Islamia, New Delhi
Acta mathematica Universitatis Comenianae, Tome 87 (2018) no. 1, pp. 127-140 
Aliya Naaz Siddiqui; Mohammad Hasan Shahid; Aliya Naaz Siddiqui; Mohammad Hasan Shahid. A Lower Bound of normalized scalar curvature for bi-slant submanifolds in generalized Sasakian space forms using Casorati curvatures. Acta mathematica Universitatis Comenianae, Tome 87 (2018) no. 1, pp. 127-140. http://geodesic.mathdoc.fr/item/AMUC_2018_87_1_a10/
@article{AMUC_2018_87_1_a10,
     author = {Aliya Naaz Siddiqui and Mohammad Hasan Shahid and Aliya Naaz Siddiqui and Mohammad Hasan Shahid},
     title = { A {Lower} {Bound} of normalized scalar curvature for bi-slant submanifolds in generalized {Sasakian} space forms using {Casorati} curvatures},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {127--140},
     year = {2018},
     volume = {87},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2018_87_1_a10/}
}
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Voir la notice de l'article provenant de la source Comenius University

In this paper, we prove two optimal inequalities between the generalized normalized $\delta-$Casorati curvatures and the normalized scalar curvature for bi-slant submanifolds in a generalized Sasakian space form. Moreover, we show that the equality at all points characterizes the invariantly quasi-umbilical submanifolds in both cases.