Geodesic
Ricci and scalar curvatures of submanifolds of a conformal Sasakian space form
Archivum mathematicum, Tome 52 (2016) no. 2, pp. 113-130 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We introduce a conformal Sasakian manifold and we find the inequality involving Ricci curvature and the squared mean curvature for semi-invariant, almost semi-invariant, $\theta $-slant, invariant and anti-invariant submanifolds tangent to the Reeb vector field and the equality cases are also discussed. Also the inequality involving scalar curvature and the squared mean curvature of some submanifolds of a conformal Sasakian space form are obtained.
We introduce a conformal Sasakian manifold and we find the inequality involving Ricci curvature and the squared mean curvature for semi-invariant, almost semi-invariant, $\theta $-slant, invariant and anti-invariant submanifolds tangent to the Reeb vector field and the equality cases are also discussed. Also the inequality involving scalar curvature and the squared mean curvature of some submanifolds of a conformal Sasakian space form are obtained.
DOI : 10.5817/AM2016-2-113
Classification : 53C25, 53C40, 53D15
Keywords: Ricci curvature; scalar curvature; squared mean curvature; conformal Sasakian space form 
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     title = {Ricci and scalar curvatures of submanifolds of a conformal {Sasakian} space form},
     journal = {Archivum mathematicum},
     pages = {113--130},
     year = {2016},
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     url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2016-2-113/}
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Abedi, Esmaeil; Ziabari, Reyhane Bahrami; Tripathi, Mukut Mani. Ricci and scalar curvatures of submanifolds of a conformal Sasakian space form. Archivum mathematicum, Tome 52 (2016) no. 2, pp. 113-130. doi: 10.5817/AM2016-2-113

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