Differential geometry, Lie groups, and mechanics. Part 15/1. Proceedings of the seminar on geometry and mathematical physics, devoted to the 200th anniversary of N. I. Lobachevskij, Russia, October–November 1993. (English) Zbl 0924.00014

J. Math. Sci., New York 94, No. 2, 1137-1310 (1999).

The articles of this volume are translations from the series “Zap. Nauchn. Semin. POMI 234 (1996)” and will be reviewed individually. For part 15/2 (same journal 94, No. 4 (1999) see Zbl 0924.00015. The preceding collection (14, 1994) has been reviewed (see Zbl 0842.00013).
The papers included in this volume belong to differential and algebraic geometry. The papers on symplectic geometry and the application of geometric methods to physics are presented in the companion volume 15/2. The seminar consisted of three workshops: 1) Differential geometry (October 1-12, 1993); 2) Symplectic geometry, real algebraic geometry, and Hamiltonian systems (October 20 – November 4, 1993); 3) Geometric methods in physics (November 12-27, 1993).

MSC:

00B15	Collections of articles of miscellaneous specific interest
53-06	Proceedings, conferences, collections, etc. pertaining to differential geometry
14-06	Proceedings, conferences, collections, etc. pertaining to algebraic geometry
35-06	Proceedings, conferences, collections, etc. pertaining to partial differential equations
81-06	Proceedings, conferences, collections, etc. pertaining to quantum theory
82-06	Proceedings, conferences, collections, etc. pertaining to statistical mechanics

Keywords:

Differential geometry; Lie groups; Mechanics; Proceedings; Seminar; Geometry; Mathematical physics

Citations:

Zbl 0842.00013; Zbl 0924.00015