期刊名称:International Journal of Mathematics and Mathematical Sciences
印刷版ISSN:0161-1712
电子版ISSN:1687-0425
出版年度:2003
卷号:2003
DOI:10.1155/S0161171203201137
出版社:Hindawi Publishing Corporation
摘要:It is proved that a Riemannian manifold M isometrically immersed in
a Sasakian space form M˜(c) of constant φ-sectional
curvature c<1, with the structure vector field ξ tangent to
M, satisfies Chen's basic equality if and only if it is a
3-dimensional minimal invariant submanifold.