Further advances in twistor theory. Volume II: Integrable systems, conformal geometry and gravitation. (English) Zbl 0828.53070
Pitman Research Notes in Mathematics Series. 232. Harlow: Longman Scientific & Technical. New York, NY: Wiley. 272 p. (1995).
The articles of this volume will not be indexed individually.
This book is a continuation of a previous one [Volume I: The Penrose transform and its applications (1990; Zbl 0693.53022)], and follows the same format, i.e. a topical grouping of articles on twistor theory, preceded by a lucid guide and overview of the material. The present collection consists of 69 brief papers, written by 24 authors, and most of the papers originally appeared in the “Twistor Newsletter” during the years 1981-1992. The material is divided into four chapters: Integrable and solvable systems; applications to conformal geometry; aspects of general relativity; and quasi-local mass. Like its predecessor, the present monograph is a valuable contribution to the literature on twistors, and a third volume is planned.
This book is a continuation of a previous one [Volume I: The Penrose transform and its applications (1990; Zbl 0693.53022)], and follows the same format, i.e. a topical grouping of articles on twistor theory, preceded by a lucid guide and overview of the material. The present collection consists of 69 brief papers, written by 24 authors, and most of the papers originally appeared in the “Twistor Newsletter” during the years 1981-1992. The material is divided into four chapters: Integrable and solvable systems; applications to conformal geometry; aspects of general relativity; and quasi-local mass. Like its predecessor, the present monograph is a valuable contribution to the literature on twistors, and a third volume is planned.
Reviewer: J.D.Zund (Las Cruces)
MSC:
| 53Z05 | Applications of differential geometry to physics |
| 83-02 | Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory |
| 83C60 | Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism |
| 83-06 | Proceedings, conferences, collections, etc. pertaining to relativity and gravitational theory |
| 00B15 | Collections of articles of miscellaneous specific interest |
| 32L25 | Twistor theory, double fibrations (complex-analytic aspects) |
| 32L81 | Applications of holomorphic fiber spaces to the sciences |
| 53A30 | Conformal differential geometry (MSC2010) |
| 37J35 | Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests |
| 37K10 | Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) |
