ScholarWorks@숙명여자대학교

초록

We give some rigidity properties of a p-biharmonic map u:(M,g)→(N,h) between Riemannian manifolds (Mn,g) and (Nm,h). We first provide various sufficient conditions for p-biharmonic maps to be harmonic. Moreover, when the map u is an isometric immersion, by assuming that the [Formula presented]-norm of the sectional curvature on M is sufficiently small or if the fundamental tone of the p-biharmonic submanifold is sufficiently big, it is proved that M is minimal.

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