关键词: 多重卷积流形, 梯度近Ricci孤立子, 度量

Abstract: By using the properties of covariant derivative operator, gradient operator, Ricci curvature and strong maximum principle of second-order elliptic operator on multiply warped product manifolds, the author discussed gradient Ricci almost solitons on multiply warped product manifolds, gave the necessary and sufficient conditions that multiply warped product manifolds were gradient Ricci almost solitons and a rigid result of gradient Ricci almost solitons on multiply warped product.

Key words: multiply warped product manifolds, gradient Ricci almost solitons, metric