Chirka, E. M. Introduction to the geometry of CR-manifolds. (English. Russian original) Zbl 0742.32006 Russ. Math. Surv. 46, No. 1, 95-197 (1991); translation from Usp. Mat. Nauk 46, No. 1(277), 81-164 (1991). The CR manifolds, i.e. the Cauchy-Riemann manifolds, are of special interest in the theory of complex functions of several complex variables. The aim is to present the general theory of CR-manifolds by underlying their importance in analysis (in the theory of CR-functions) and the geometric aspects of the presented results.The author’s contribution consists of new proofs, examples and a very clear and detailed presentation.Contents: Introduction. 1. Classes of CR-manifolds. 2. CR-fields. 3. Annihilating forms. RC-manifolds. 4. The Levi form. 5. CR-foliations. 6. Defining functions. 7. Totally real manifolds. References. Reviewer: I.Mihuţ (Timişoara) Cited in 1 ReviewCited in 18 Documents MSC: 32V99 CR manifolds Keywords:RC manifolds; CR manifolds; CR-functions PDFBibTeX XMLCite \textit{E. M. Chirka}, Russ. Math. Surv. 46, No. 1, 95--197 (1991; Zbl 0742.32006); translation from Usp. Mat. Nauk 46, No. 1(277), 81--164 (1991) Full Text: DOI