Local CR-diffeomorphisms of CR-quadrics of codimension two. I. Standard Hermitian quadrics

Local CR-diffeomorphisms of CR-quadrics of codimension two. I. Standard Hermitian quadrics

Local CR-diffeomorphisms between standard Hermitian quadrics of codimension 2 in C m are treated using a method based on the fundamental theorem of projective geometry. The cases when such diffeomorphisms must be projective are distinguished.

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Veröffentlicht in:Complex Analysis and its Synergies 2024-03, Vol.10 (1), Article 1
1. Verfasser: Kruzhilin, N. G.
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic Geometry
Analysis
Dynamical Systems and Ergodic Theory
Functional Analysis
Functions of a Complex Variable
Isomorphism
Mappings and symmetry in complex and CR geometry
Mathematics
Mathematics and Statistics
Partial Differential Equations
Projective geometry
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Beschreibung
Zusammenfassung:Local CR-diffeomorphisms between standard Hermitian quadrics of codimension 2 in C m are treated using a method based on the fundamental theorem of projective geometry. The cases when such diffeomorphisms must be projective are distinguished.
ISSN:2524-7581
2197-120X
DOI:10.1007/s40627-023-00127-5