B.Y. Chen initiated the study of the tensor product immersion of two immersions of a given Riemannian manifold (see [3]). Inspired by Chenâ€™s definition, F. Decruyenaere, F. Dillen, L. Verstraelen andâ€¦ (More)

In [C1, C2, C3, C4], B.-Y. Chen introduced the tensor product of two immersions of a given Riemannian manifold; he proved that the set of all immersions of the given manifold, provided with directâ€¦ (More)

Legendrian submanifolds in Sasakian space forms play an important role in contact geometry. Defever et al. (Boll Unione Mat Ital B 7(11):365â€“374, 1997) established the first Chen inequality forâ€¦ (More)

Para-complex manifolds and, in particular, para-KÃ¤hlerian manifolds have been for the first time studied by Rashevski [Ra], Libermann [L] and Patterson [Pa]. In the last two decades, several authorsâ€¦ (More)

Roughly speaking, an ideal immersion of a Riemannian manifold into a space form is an isometric immersion which produces the least possible amount of tension from the ambient space at each point ofâ€¦ (More)

The isotropic space is a special ambient space obtained from the Euclidean space by substituting the usual Euclidean distance with the isotropic distance. In the present paper, we establish a methodâ€¦ (More)