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math.DG2015★ 3 cited
Area-minimizing cones over minimal embeddings of R-spaces
Shinji Ohno, Takashi Sakai
In this paper, by constructing area-nonincreasing retractions, we prove area-minimizing properties of some cones over minimal embeddings of R-spaces.
math.DG2015★ 1 cited
Biharmonic homogeneous hypersurfaces in compact symmetric spaces
Shinji Ohno, Takashi Sakai, Hajime Urakawa
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 ar…