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CR-Geometry and Shearfree Lorentzian Geometry

Dmitri V Alekseevsky, Masoud Ganji, Gerd Schmalz

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

4 Citations (Scopus)

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.
Original languageEnglish
Title of host publicationGeometric Complex Analysis
EditorsJisoo Byun, Hong Rae Cho, Sung Yeon Kim, Kang-Hyurk Lee, Jong-Do Park
Place of PublicationSingapore
PublisherSpringer
Pages11-22
ISBN (Print)9789811316715, 9789811316722
DOIs
Publication statusPublished - 9 Sept 2018
EventKSCV12: 12th Korean Conference on Several Complex Variables - Gyeongju, Korea
Duration: 3 Jul 20177 Jul 2017

Publication series

NameSpringer Proceedings in Mathematics & Statistics

Conference

ConferenceKSCV12: 12th Korean Conference on Several Complex Variables
CityGyeongju, Korea
Period3/07/177/07/17

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