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@article{2233478,
author = {Eastwood, Michael and Zalabová, Lenka},
article_number = {3},
doi = {http://dx.doi.org/10.1007/s10455-022-09866-w},
keywords = {Projective differential geometry; Conformal differential geometry; Other special differential geometries},
language = {eng},
issn = {0232-704X},
journal = {Annals of Global Analysis and Geometry},
title = {Special metrics and scales in parabolic geometry},
url = {https://arxiv.org/pdf/2002.02199.pdf},
volume = {62},
year = {2022}
}
TY - JOUR
ID - 2233478
AU - Eastwood, Michael - Zalabová, Lenka
PY - 2022
TI - Special metrics and scales in parabolic geometry
JF - Annals of Global Analysis and Geometry
VL - 62
IS - 3
SP - 635-659
EP - 635-659
PB - Springer
SN - 0232704X
KW - Projective differential geometry
KW - Conformal differential geometry
KW - Other special differential geometries
UR - https://arxiv.org/pdf/2002.02199.pdf
N2 - Given a parabolic geometry, it is sometimes possible to find special metrics characterised by some invariant conditions. In conformal geometry, for example, one asks for an Einstein metric in the conformal class. Einstein metrics have the special property that their geodesics are distinguished, as unparameterised curves, in the sense of parabolic geometry. This property characterises the Einstein metrics. In this article, we initiate a study of corresponding phenomena for other parabolic geometries, in particular for the hypersurface CR and contact Legendrean cases.
ER -
EASTWOOD, Michael a Lenka ZALABOVÁ. Special metrics and scales in parabolic geometry. \textit{Annals of Global Analysis and Geometry}. Springer, 2022, roč.~62, č.~3, s.~635-659. ISSN~0232-704X. Dostupné z: https://dx.doi.org/10.1007/s10455-022-09866-w.
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