Selected Papers of Masatake Kuranishi. Edited by Takao Akahori, Gen Komatsu, Kimio Miyajima, Makoto Namba, Duong H. Phong and Keizo Yamaguchi (Q2842215)

This carefully edited collection contains a selection of 21 of Masatake Kuranishi's papers (out of a publication list of 64 items), spanning a period from 1950 to 2004, with an emphasis on later work. The selected papers give a good overview over Kuranishi's many influential contributions. The themes are locally compact groups, involutive PDE systems, exterior differential forms, deformation theory of compact complex manifolds, CR structures, CR geometry, Cartan geometry, embedding of CR manifolds, and Bergman and Szegő kernels.NEWLINENEWLINEThe preface by editor-in-chief Heisuke Hironaka states: ``Professor Masatake Kuranishi's mathematical contributions are outstanding and fundamental in the theory of complex-analytic manifolds and related geometric structures in higher dimensions. His works are numerous and voluminous, all with delightful analytical and computational details''. The reviewer agrees wholeheartedly.