On the minimal submanifolds in \(\mathbb{C} P^ m(c)\) and \(S^ N(1)\) (Q1198476)

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scientific article; zbMATH DE number 92938
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English
On the minimal submanifolds in \(\mathbb{C} P^ m(c)\) and \(S^ N(1)\)
scientific article; zbMATH DE number 92938

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    On the minimal submanifolds in \(\mathbb{C} P^ m(c)\) and \(S^ N(1)\) (English)
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    16 January 1993
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    The author improves the pinching theorem of \textit{B. Y. Chen} and \textit{K. Ogiue} [Trans. Am. Math. Soc. 193, 257-266 (1974; Zbl 0286.53019)] for the scalar curvature of \(n\)-dimensional compact totally real minimal submanifolds in the \(n\)-dimensional complex projective space. He also proves others related results.
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    pinching theorem
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    totally real minimal submanifold
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    complex projective space
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