This monograph is based on the author's results on the Riemannian
ge- ometry of foliations with nonnegative mixed curvature and on
the geometry of sub manifolds with generators (rulings) in a
Riemannian space of nonnegative curvature. The main idea is that
such foliated (sub) manifolds can be decom- posed when the
dimension of the leaves (generators) is large. The methods of
investigation are mostly synthetic. The work is divided into two
parts, consisting of seven chapters and three appendices. Appendix
A was written jointly with V. Toponogov. Part 1 is devoted to the
Riemannian geometry of foliations. In the first few sections of
Chapter I we give a survey of the basic results on foliated smooth
manifolds (Sections 1.1-1.3), and finish in Section 1.4 with a
discussion of the key problem of this work: the role of Riemannian
curvature in the study of foliations on manifolds and submanifolds.
|Country of origin:
||234 x 156 x 17mm (L x W x T)
||Hardcover - Laminated cover
Science & Mathematics >
Differential & Riemannian geometry
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