Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک ایرانیان
IJMSI
Basic Sciences
http://ijmsi.ir
1
admin
1735-4463
2008-9473
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8888
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jalali
1385
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gregorian
2006
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online
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fulltext
en
RICCI CURVATURE OF SUBMANIFOLDS OF A SASAKIAN SPACE FORM
عمومى
General
پژوهشي
Research
<p>Involving the Ricci curvature and the squared mean curvature, we obtain basic inequalities for different kind of submaniforlds of a Sasakian space form tangent to the structure vector field of the ambient manifold. Contrary to already known results, we find a different necessary and sufficient condition for the equality for Ricci curvature of C-totally real submanifolds of a Sasakian space form, and (2) of the fact that if a C-totally real submanifold of maximum dimension satisfies the equality case, then it must be must be minimal. Two basic inequalities for submanifolds of any Riemannian manofild, one involving scaler curvature and the squared mean curvature and the other involving the invariant and the squared mean curvature are also obtained. These results are applied to get corresponding results for submanifolds of Sasakian space forms.</p>
Einstein manifold, Saskian space form, Invarient submanifold, Semi-invarient submanifold, Almost semi-invariant submanifold, CR-submanifold, Slant submanifold, C-totally real submanifold, Ricci curvature, K-Ricci curvature, Scalar curvature.
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51
http://ijmsi.ir/browse.php?a_code=A-10-1-34&slc_lang=en&sid=en
SUNGPU
HONG
`10031947532846002031`

10031947532846002031
Yes
MUKUT
TRIPATHI
`10031947532846002032`

10031947532846002032
No