CARRIAZO RUBIO , Alfonso

We establish a version of B.-Y. Chen's inequality for a submanifold of a Sasakianspace-form, tangent to the structure vector field of the ambient space. We obtain some applications and we study this inequality for slant submanifolds. We also characterize 3–dimensional slant submanifolds satisfying the equality case.

Las subvariedades slant constituyen un importante caso intermedio entre las subvariedades invariantes y anti-invariantes. De hecho, diremos que una subvariedad M, tangente al campo de estructura Ԑ de una variedad casi-contacto métrica ( ... t: 150%; font-family: 'Times New Roman','serif'; font-size: 12pt">Ḿ, ɸ, Ԑ, n, g ), es slant, si para todo...