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A characterization of \(n\)-spheres in space forms and its complex analogue. (English) Zbl 0234.53049


MSC:

53C40 Global submanifolds
53B25 Local submanifolds
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References:

[1] Klingenberg, W.: Zur affinen Differentialgeometrie. Teil I: Überp-dimensionale Minimalflächen und Sphären imn-dimensionalen Raum. Math. Z.54, 65-80 (1951). · Zbl 0044.17801 · doi:10.1007/BF01175136
[2] Kobayashi, S., Nomizu, K.: Foundations of differential geometry. Volume II. New York: Wiley-Interscience 1969. · Zbl 0175.48504
[3] Simon, U.: Probleme der lokalen und globalen mehrdimensionalen Differentialgeometrie. manuscripta math.2, 241-284 (1970). · Zbl 0188.54101 · doi:10.1007/BF01168380
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