caa a22 4500 445813342 CHVBK 20180317145218.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s00022-011-0100-4 doi (NATIONALLICENCE)springer-10.1007/s00022-011-0100-4 A homogeneous submanifold with nonzero parallel mean curvature vector in a Euclidean sphere [Elektronische Daten] [Sadahiro Maeda, Seiichi Udagawa] We show that every sufficiently high dimensional Euclidean sphere admits an odd dimensional Riemannian submanifold M having the properties: (1) M is a homogeneous submanifold with nonzero parallel mean curvature vector in the ambient sphere; (2) M is a Berger sphere; (3) M is a Sasakian space form of constant $${\phi}$$ -sectional curvature. Note that our manifold M is diffeomorphic but not isometric to a Euclidean sphere. Springer Basel AG, 2012 Real hypersurfaces nationallicence complex projective spaces nationallicence the first standard minimal embedding nationallicence Berger spheres nationallicence Euclidean spheres nationallicence mean curvature vector nationallicence homogeneous submanifolds nationallicence almost contact metric structure nationallicence Sasakian manifolds nationallicence Sasakian space forms nationallicence Maeda Sadahiro Department of Mathematics, Saga University, 1 Honzyo, 840-8502, Saga, Japan aut Udagawa Seiichi Department of Mathematics, School of Medicine, Nihon University, 173-0032, Itabashi, Tokyo, Japan aut Journal of Geometry SP Birkhäuser Verlag Basel 102/1-2(2011-12-01), 123-131 0047-2468 102:1-2<123 2011 102 22 https://doi.org/10.1007/s00022-011-0100-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00022-011-0100-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Maeda Sadahiro Department of Mathematics, Saga University, 1 Honzyo, 840-8502, Saga, Japan aut NATIONALLICENCE 700 1- Udagawa Seiichi Department of Mathematics, School of Medicine, Nihon University, 173-0032, Itabashi, Tokyo, Japan aut NATIONALLICENCE 773 0- Journal of Geometry SP Birkhäuser Verlag Basel 102/1-2(2011-12-01), 123-131 0047-2468 102:1-2<123 2011 102 22 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer