Download Foliations on Riemannian Manifolds and Submanifolds by Vladimir Rovenski PDF

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 area of nonnegative curvature. the most thought is that such foliated (sub) manifolds may be decom­ posed whilst the size of the leaves (generators) is big. The tools of research are generally man made. The paintings is split into components, inclusive of seven chapters and 3 appendices. Appendix A was once written together with V. Toponogov. half 1 is dedicated to the Riemannian geometry of foliations. within the first few sections of bankruptcy I we provide a survey of the elemental effects on foliated delicate manifolds (Sections 1.1-1.3), and end in part 1.4 with a dialogue of the most important challenge of this paintings: the position of Riemannian curvature within the learn of foliations on manifolds and submanifolds.

Show description

Read or Download Foliations on Riemannian Manifolds and Submanifolds PDF

Similar geometry & topology books

Hyperbolic Geometry (Springer Undergraduate Mathematics Series)

The geometry of the hyperbolic aircraft has been an energetic and interesting box of mathematical inquiry for many of the earlier centuries. This ebook presents a self-contained creation to the topic, supplying the reader with an organization take hold of of the techniques and strategies of this gorgeous quarter of arithmetic.

Fractal Solutions for Understanding Complex Systems in Earth Sciences (Springer Earth System Sciences)

This booklet bargains with fractals in figuring out difficulties encountered in earth technological know-how, and their recommendations. It begins with an research of 2 sessions of tools (homogeneous fractals random versions, and homogeneous resource distributions or “one aspect” distributions) extensively subtle within the geophysical neighborhood, in particular for learning strength fields and their similar resource distributions.

Differential Forms and Connections

This 1994 booklet introduces the instruments of recent differential geometry, external calculus, manifolds, vector bundles and connections, to complicated undergraduate and starting graduate scholars in arithmetic, physics and engineering. The e-book covers either classical floor conception and the trendy concept of connections and curvature, and encompasses a bankruptcy on purposes to theoretical physics.

Euclidean and Non-Euclidean Geometry: An Analytic Approach

This e-book provides a rigorous remedy of the basics of aircraft geometry: Euclidean, round, elliptical and hyperbolic. the first function is to acquaint the reader with the classical result of aircraft Euclidean and nonEuclidean geometry, congruence theorems, concurrence theorems, category of isometries, attitude addition and trigonometrical formulae.

Additional resources for Foliations on Riemannian Manifolds and Submanifolds

Example text

Download PDF sample

Rated 4.67 of 5 – based on 7 votes