Foliations on Riemannian Manifolds and Submanifolds

Focusing on Riemannian geometry, the author explores foliations with nonnegative mixed curvature and the geometry of submanifolds featuring generators in Riemannian spaces. The work emphasizes the decomposition of such manifolds when the dimension of the leaves is substantial. Divided into two parts, it includes a comprehensive survey of key results on foliated smooth manifolds and addresses the significant role of Riemannian curvature in understanding these structures. The monograph comprises seven chapters and three appendices, with collaborative insights included.