Riemannian manifolds with geometric structures

Abstract

The theory of structures on manifolds is a very interesting topic of modern differential geometry and its applications. There are many results concerning various differential geometric structures on Riemannian manifolds. The main aim of this book is to get a way of a union of such results in one scheme. It seems that introduced by the author a notion of the canonical connection ⵼ and the second fundamental tensor field h adjoint to a structure is very useful for this purpose and, in many cases, it is more effective than the Riemannian connection ⵼. Especially, we pay attention to use of h to obtain classifications of structures and to the case of so-called quasi homogeneous structures. Projections of structures on submanifolds are also considered in the book.