CR-Geometry and Shearfree Lorentzian Geometry

Author(s)
Alekseevsky, Dmitri V
Ganji, Masoud
Schmalz, Gerd
Publication Date
2018-09-09
Abstract
We study higher dimensional versions of shearfree null-congruences in conformal Lorentzian manifolds. We show that such structures induce a subconformal structure and a partially integrable almost CR-structure on the leaf space and we classify the Lorentzian metrics that induce the same subconformal structure. In the last section we survey some known applications of the correspondence between almost CR-structures and shearfree null-congruences in dimension 4.
Citation
Geometric Complex Analysis, p. 11-22
ISBN
9789811316715
9789811316722
ISSN
2194-1017
2194-1009
Link
Publisher
Springer
Series
Springer Proceedings in Mathematics & Statistics
Title
CR-Geometry and Shearfree Lorentzian Geometry
Type of document
Conference Publication
Entity Type
Publication

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