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Second fundamental form of a map

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This paper is devoted to the study of the 2, fundamental form of a map, which generalizes this notion, well known for isometric immersions. We generalize results by Vilms, Yano, and Ishihara, and study in detail projective and umbilical maps.


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Nore, T. Second fundamental form of a map. Annali di Matematica pura ed applicata 146, 281–310 (1986).

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  • Fundamental Form
  • Isometric Immersion