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Sectional curvatures of nonstandard metrics on \(\mathbf {{CP}}^{2n+1}\) - MaRDI portal

Sectional curvatures of nonstandard metrics on \(\mathbf {{CP}}^{2n+1}\) (Q1288100)

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scientific article; zbMATH DE number 1285655
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Sectional curvatures of nonstandard metrics on \(\mathbf {{CP}}^{2n+1}\)
scientific article; zbMATH DE number 1285655

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    Sectional curvatures of nonstandard metrics on \(\mathbf {{CP}}^{2n+1}\) (English)
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    10 May 1999
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    The author considers the one-dimensional family of homogeneous metrics on complex projective space \(\mathbb{C} P^{2n+1}\), derives formulas for their sectional curvatures, and computes the pinchings of these metrics, i.e., the ratios of minimal and maximal sectional curvatures.
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    sectional curvature
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    homogeneous metrics on complex projective space
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