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Comparison of differential operators with Lie derivative of three-dimensional real hypersurfaces in non-flat complex space forms - MaRDI portal

Comparison of differential operators with Lie derivative of three-dimensional real hypersurfaces in non-flat complex space forms (Q6161970)

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scientific article; zbMATH DE number 7696040
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Comparison of differential operators with Lie derivative of three-dimensional real hypersurfaces in non-flat complex space forms
scientific article; zbMATH DE number 7696040

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    Comparison of differential operators with Lie derivative of three-dimensional real hypersurfaces in non-flat complex space forms (English)
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    15 June 2023
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    Summary: In this paper, three-dimensional real hypersurfaces in non-flat complex space forms, whose shape operator satisfies a geometric condition, are studied. Moreover, the tensor field \(P = \phi A - A \phi\) is given and three-dimensional real hypersurfaces in non-flat complex space forms whose tensor field \(P\) satisfies geometric conditions are classified.
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    Tanaka-Webster connection
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    complex space form
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    real hypersurface
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    Lie derivative
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    shape operator
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