𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Dynamical invariants of rigid motions on the hyperbolic plane

✍ Scribed by Péter T. Nagy

Publisher
Springer
Year
1991
Tongue
English
Weight
552 KB
Volume
37
Category
Article
ISSN
0046-5755

No coin nor oath required. For personal study only.

✦ Synopsis

AnSTRACT. This paper is devoted to the investigation of the geometry of left invariant metrics on the isometry group of the hyperbolic plane determined by the kinetic energy of a rigid particle system.

📜 SIMILAR VOLUMES

Brownian Motion on the Hyperbolic Plane
Brownian Motion on the Hyperbolic Plane and Selberg Trace Formula
✍ Nobuyuki Ikeda; Hiroyuki Matsumoto 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 301 KB

We will show that the relation of the heat kernels for the Schro dinger operators with uniform magnetic fields on the hyperbolic plane H 2 (the Maass Laplacians) and for the Schro dinger operators with Morse potentials on R is given by means of a one-dimensional Fourier transform in the framework of

On the dynamics of a rigid body in the h
On the dynamics of a rigid body in the hyperbolic space
✍ Marcos Salvai 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 108 KB

Let H be the three-dimensional hyperbolic space and let G be the identity component of the isometry group of H . It is known that some aspects of the dynamics of a rigid body in H contrast strongly with the Euclidean case, due to the lack of a subgroup of translations in G. We present the subject in

A dynamically consistent model of the co
A dynamically consistent model of the contact stresses in the plane motion of a rigid body
✍ A.P. Ivanov 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 375 KB

The problem of determining dry friction forces in the case of the motion of a rigid body with a plane base over a rough surface is discussed. In view of the dependence of the friction forces on the normal load, the solution of this problem involves constructing a model of the contact stresses. The c