【摘要】Letx:M~(n-1)→R~nbeanumbilicalfreehypersurfacewithnon-zeroprincipalcurvatures.TwobasicinvariantsofMundertheLaguerretransformationgroupofR~nareLaguerreformCandLaguerretensorL.Inthispaper,weprovethefollowingtheorem:LetMbean(n-1)-dimensional(n>3)completehypersurfacewithvanishingLaguerreformandwit
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