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Submanifolds with commuting normal vector field

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Abstract

This is a survey of studies on submanifolds of spaces of constant curvature with a parallel normal vector field, parallel second or third fundamental form, or with a parallel (or satisfying other geometric conditions) field of normal p-directions, and on conformally flat submanifolds.

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  1. V. A. Mirzoyan
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Translated from Itogi Nauki i Tekhniki, Seriya Problemy Geometrii, Vol. 14, pp. 73–100, 1983.

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Mirzoyan, V.A. Submanifolds with commuting normal vector field. J Math Sci 28, 192–207 (1985). https://doi.org/10.1007/BF02105211

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