一类近切触流形的子流形的无穷小变分

INFINITESIMAL VARIATIONS OF SUBMANIFOLDS OF A CERTAIN CLASS OF ALMOST CONTACT MANIFOLDS

本文研究了Ｋｅｎｍｏｔｓｕ流形的子流形的无穷小变分．首先，获得了Ｋｅｎｍｏｔｓｕ流形的子流形的一些几何性质．其次，计算了在子流形上的诱导结构张量的变分．最后。

This paper studies infinitesimal variations of submanifolds of Kenmotsu manifold. First of all we obtain some geometric properties of submanifolds of Kenmotsu manifolds. In the next place we compute the variations of the structure tensors induced on the submanifold. In the end we study infinitesimal variations which carry a submanifold of a specifical kind of a Kenmotsu manifold into a submanifold of the same kind.