# Selected Papers of Kentaro Yano (North-Holland Mathematical

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Language: English

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The main result of the paper is a general description of the umbilic and normally flat immersions: Given a hypersurface $f$ and a point $O$ in the $(n+1)$-space, the immersion $(\nu,\nu\cdot(f-O))$, where $\nu$ is the co-normal of $f$, is umbilic and normally flat, and conversely, any umbilic and normally flat immersion is of this type. Hence, the condition for u= constant to be geodesic is U=0. similarly V=0 is the condition for v= constant to be a geodesic. be the equation of a surface.

Pages: 418

Publisher: Elsevier Science Ltd (November 1982)

ISBN: 0444864954

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