Almost c-spinorial geometry
Archivum mathematicum, Tome 53 (2017) no. 5, pp. 325-334.

Voir la notice de l'article dans Czech Digital Mathematics Library

Almost c-spinorial geometry arises as an interesting example of the metrisability problem for parabolic geometries. It is a complex analogue of real spinorial geometry. In this paper, we first define the type of parabolic geometry in question, then we discuss its underlying geometry and its homogeneous model. We compute irreducible components of the harmonic curvature and discuss the conditions for regularity. In the second part of the paper, we describe the linearisation of the metrisability problem for Hermitian and skew-Hermitian metrics, state the corresponding first BGG equations and present explicit formulae for their solutions on the homogeneous model.
DOI : 10.5817/AM2017-5-325
Classification : 53A40, 53B35
Mots-clés : spinorial geometry; metrisability problem; equivalence problem; first BGG operator 
@article{10_5817_AM2017_5_325,
     author = {P\'u\v{c}ek, Roland},
     title = {Almost c-spinorial geometry},
     journal = {Archivum mathematicum},
     pages = {325--334},
     publisher = {mathdoc},
     volume = {53},
     number = {5},
     year = {2017},
     doi = {10.5817/AM2017-5-325},
     mrnumber = {3746067},
     zbl = {06861560},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.5817/AM2017-5-325/}
}
TY  - JOUR
AU  - Púček, Roland
TI  - Almost c-spinorial geometry
JO  - Archivum mathematicum
PY  - 2017
SP  - 325
EP  - 334
VL  - 53
IS  - 5
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/articles/10.5817/AM2017-5-325/
DO  - 10.5817/AM2017-5-325
LA  - en
ID  - 10_5817_AM2017_5_325
ER  - 
%0 Journal Article
%A Púček, Roland
%T Almost c-spinorial geometry
%J Archivum mathematicum
%D 2017
%P 325-334
%V 53
%N 5
%I mathdoc
%U https://geodesic-test.mathdoc.fr/articles/10.5817/AM2017-5-325/
%R 10.5817/AM2017-5-325
%G en
%F 10_5817_AM2017_5_325
Púček, Roland. Almost c-spinorial geometry. Archivum mathematicum, Tome 53 (2017) no. 5, pp. 325-334. doi : 10.5817/AM2017-5-325. https://geodesic-test.mathdoc.fr/articles/10.5817/AM2017-5-325/

Cité par Sources :