New PDF release: Foliations on Riemannian Manifolds and Submanifolds

By Vladimir Rovenski

This monograph relies at the author's effects at the Riemannian ge­ ometry of foliations with nonnegative combined curvature and at the geometry of sub manifolds with turbines (rulings) in a Riemannian house of nonnegative curvature. the most thought is that such foliated (sub) manifolds might be decom­ posed whilst the size of the leaves (generators) is huge. The equipment of research are normally artificial. The paintings is split into components, including seven chapters and 3 appendices. Appendix A used to be written together with V. Toponogov. half 1 is dedicated to the Riemannian geometry of foliations. within the first few sections of bankruptcy I we supply a survey of the fundamental effects on foliated delicate manifolds (Sections 1.1-1.3), and end in part 1.4 with a dialogue of the foremost challenge of this paintings: the position of Riemannian curvature within the learn of foliations on manifolds and submanifolds.

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Foliations on Riemannian Manifolds and Submanifolds by Vladimir Rovenski

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