广义Sasakian空间形式的Legendarian子流形上的Wintgen不等式

IF 0.2 Q4 MATHEMATICS

Commentationes Mathematicae Universitatis Carolinae Pub Date : 2020-05-22 DOI:10.14712/1213-7243.2020.006

Hui Shyamal K., Lemence Richard S., Mandal Pradip

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引用次数: 2

摘要

.广义Sasakian空间形式M2n+1（f1，f2，f3）的一个子流形Mm称为C-全实子流形，如果ξ∈Γ。特别地，如果m=n，则Mn称为勒让德子流形。在这里，我们导出了关于不同连接的广义Sasakian空间形式的Legendarian子流形上的Wintgen不等式；即四分之一对称度量连接、Schouten–van Kampen连接和Tanaka–Webster连接。

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Wintgen inequalities on Legendrian submanifolds of generalized Sasakian-space-forms

. A submanifold M m of a generalized Sasakian-space-form M 2 n +1 ( f 1 , f 2 ,f 3 ) is said to be C -totally real submanifold if ξ ∈ Γ( T ⊥ M ) and ϕX ∈ Γ( T ⊥ M ) for all X ∈ Γ( TM ). In particular, if m = n , then M n is called Legendrian submanifold. Here, we derive Wintgen inequalities on Legendrian submanifolds of generalized Sasakian-space-forms with respect to diﬀerent connections; namely, quarter symmetric metric connection, Schouten–van Kampen connection and Tanaka–Webster connection.

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来源期刊

Commentationes Mathematicae Universitatis Carolinae MATHEMATICS-

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0.60

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0.00%

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