A Characterization of the Standard Tori in C^(2) as Compact Lagrangian ξ-Submanifolds

In this paper,the authors give a characterization theorem for the standard tori S^(1)(a)×S^(1)(b),a,b>0,as the compact Lagrangianξ-submanifolds in the two-dimensional complex Euclidean space C^(2),and obtain the best version of a former rigidity theorem for compact Lagrangianξ-submanifold in C^(2).Furthermore,their argument in this paper also proves a new rigidity theorem which is a direct generalization of a rigidity theorem by Li and Wang for Lagrangian self-shrinkers in C^(2).

Some Properties of <i>CR</i>-Submanifolds of a Nearly Trans-Sasakian Manifold with a Semi Symmetric Non-Metric Connection

This paper deals with the study of CR-submanifolds of a nearly trans-Sasakian manifold with a semi symmetric non-metric connection. Nijenhuis tensor, integrability conditions for some distributions on CR-submanifolds of a nearly trans-Sasakian manifold with a semi symmetric non- metric connection are discussed.

广义Sasakian空间形式中反不变ξ^⊥-子流形的一个不等式

对推广的Sasakian空间形式,即广义Sasakian空间形式中的反不变ξ⊥-子流形作了一些研究,并得到一个关于scalar曲率与平均曲率算子的平方间的一个不等式‖H‖2≥(2(n+2)/n2(n-1))τ-(n+2/n)f1.