Optimal casorati inequalities on bi-slant submanifolds of generalized sasakian space forms
2018 ◽
Vol 49
(3)
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pp. 235-255
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Keyword(s):
In this paper, we use T Oprea's optimization method to establish some optimal Casorati inequalities, which involve the normalized scalar curvature for bi-slant submanifolds of generalized Sasakian space forms. In the continuation, we show that in both cases, the equalities hold if and only if submanifolds are invariantly quasi-umbilical.
2005 ◽
Vol 36
(3)
◽
pp. 223-229
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2003 ◽
Vol 52
(3)
◽
pp. 367-381
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2002 ◽
Vol 72
(2)
◽
pp. 247-256
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Keyword(s):
2003 ◽
Vol 68
(2)
◽
pp. 275-283
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Keyword(s):