Biharmonic homogeneous hypersurfaces in compact symmetric spaces |
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| Affiliation: | 1. Department of Mathematics and Information Sciences, Tokyo Metropolitan University, Minami-Osawa 1-1, Hachioji, Tokyo, 192-0397, Japan;2. Institute for International Education, Tohoku University, Kawauchi 41, Sendai, 980-8576, Japan |
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| Abstract: | In this paper, we study biharmonic hypersurfaces in Einstein manifolds. Then, we determine all the biharmonic hypersurfaces in irreducible symmetric spaces of compact type which are regular orbits of commutative Hermann actions of cohomogeneity one. |
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| Keywords: | Symmetric space Symmetric triad Hermann action Harmonic map Biharmonic map |
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