On para-Sasakian manifolds (Q5915530)

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scientific article; zbMATH DE number 1785896
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On para-Sasakian manifolds
scientific article; zbMATH DE number 1785896

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    On para-Sasakian manifolds (English)
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    5 May 2003
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    In the context of para-contact metric geometry, the authors introduce the notion of a D-conformal transformation and state that it changes a para-Sasakian structure into another para-Sasakian one. Further, they show that a para-Sasakian manifold which is either (semi-)symmetric, projectively (semi-)symmetric, concircularly (semi-)symmetric or conharmonically (semi-)symmetric must have constant curvature \(1\).
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    para-Sasakian manifolds
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    D-conformal transformation
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    symmetric spaces
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    projectively symmetric spaces
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    concircularly symmetric spaces
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    conharmonically symmetric spaces
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