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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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