Integrable Geodesic Flows on Two-Dimensional Surfaces - Monographs in Contemporary Mathematics (Paperback)
  • Integrable Geodesic Flows on Two-Dimensional Surfaces - Monographs in Contemporary Mathematics (Paperback)
zoom

Integrable Geodesic Flows on Two-Dimensional Surfaces - Monographs in Contemporary Mathematics (Paperback)

(author), (author)
£159.99
Paperback 322 Pages / Published: 02/11/2012
  • We can order this

Usually dispatched within 3 weeks

  • This item has been added to your basket
Geodesic flows of Riemannian metrics on manifolds are one of the classical objects in geometry. A particular place among them is occupied by integrable geodesic flows. We consider them in the context of the general theory of integrable Hamiltonian systems, and in particular, from the viewpoint of a new topological classification theory, which was recently developed for integrable Hamiltonian systems with two degrees of freedom. As a result, we will see that such a new approach is very useful for a deeper understanding of the topology and geometry of integrable geodesic flows. The main object to be studied in our paper is the class of integrable geodesic flows on two-dimensional surfaces. There are many such flows on surfaces of small genus, in particular, on the sphere and torus. On the contrary, on surfaces of genus 9 > 1, no such flows exist in the analytical case. One of the most important and interesting problems consists in the classification of integrable flows up to different equivalence relations such as (1) an isometry, (2) the Liouville equivalence, (3) the trajectory equivalence (smooth and continuous), and (4) the geodesic equivalence. In recent years, a new technique was developed, which gives, in particular, a possibility to classify integrable geodesic flows up to these kinds of equivalences. This technique is presented in our paper, together with various applications. The first part of our book, namely, Chaps.

Publisher: Springer-Verlag New York Inc.
ISBN: 9781461369332
Number of pages: 322
Weight: 647 g
Dimensions: 254 x 178 x 18 mm
Edition: Softcover reprint of the original 1st ed. 200

You may also be interested in...

Ruler and Compass
Added to basket
£5.99
Paperback
Euclid's Elements
Added to basket
£31.99
Hardback
Visual Complex Analysis
Added to basket
Elliptic Tales
Added to basket
£13.99
Paperback
Platonic and Archimedean Solids
Added to basket
Symmetry: A Very Short Introduction
Added to basket
Fractals: A Very Short Introduction
Added to basket
Mathematical Origami
Added to basket
An Introduction to Manifolds
Added to basket
Introduction to Topology
Added to basket
Introducing Fractals
Added to basket
Maths for Science
Added to basket
£37.99
Paperback
Trigonometry Workbook For Dummies
Added to basket
Islamic Design
Added to basket
£5.99
Paperback
Algebraic Geometry
Added to basket

Please sign in to write a review

Your review has been submitted successfully.