Characterizations of space forms by circles on their geodesic spheres (Q1869655)

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scientific article; zbMATH DE number 1902576
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Characterizations of space forms by circles on their geodesic spheres
scientific article; zbMATH DE number 1902576

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    Characterizations of space forms by circles on their geodesic spheres (English)
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    19 February 2004
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    Starting from the previous work of the authors [Bull. Aust. Math. Soc. 62, No. 2, 205-210 (2000; Zbl 0978.53071)] where the space forms are characterized in terms of the extrinsic shape of geodesics in geodesic spheres, in this paper, the authors extend the obtained results by using circles on their geodesic spheres.
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    curves of order 2
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    plane curves
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    circles
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    geodesic spheres
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