Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces

Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces

Shchepetilov, Alexey V.

Hardcover

Series: Lecture Notes in Physics, Book 707

GeometryPhysics

ISBN10: 3540353844
ISBN13: 9783540353843
Publisher: Springer Nature
Published: Sep 6 2006
Pages: 242
Weight: 1.24
Height: 0.69 Width: 6.14 Depth: 9.21
Language: English
Mathematics develops both due to demands of other sciences and due to its internal logic. The latter fact explains the attention of mathematicians to many problems, which are in close connection with basic mathematical notions, even if these problems have no direct practical applications. It is well known that the space of constant curvature is one of the basic geometry notion [208], which induced the wide ?eld for investigations. As a result there were found numerous connections of constant curvature spaces with other branches of mathematics, for example, with integrable partial dif- 1 ferential equations [36, 153, 189] and with integrable Hamiltonian systems [141]. Geodesic ?ows on compact surfaces of a constant negative curvature (with the genus 2) generate many test examples for ergodic theory (see also 3 [183] and the bibliography therein). The hyperbolic space H (R) is the space of velocities in special relativity (see Sect. 7.4.1) and also arises as space-like sections in some models of general relativity.

1 different editions

Also available

Also in

Physics

View All