Foliations on riemannian manifolds and submanifolds

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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.



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.

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Taal: en

Bindwijze: Hardcover

Oorspronkelijke releasedatum: 29 december 1997

Aantal pagina's: 300

Illustraties: Nee

Hoofdauteur: Vladimir Rovenski

Tweede Auteur: V. Rovenskii

Hoofduitgeverij: Onbekend

Editie: 1998 ed.

Extra groot lettertype: Nee

Product breedte: 155 mm

Product lengte: 235 mm

Studieboek: Nee

Verpakking breedte: 155 mm

Verpakking hoogte: 21 mm

Verpakking lengte: 235 mm

Verpakkingsgewicht: 613 g

EAN: 9780817638061

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