| HAMMERL, Matthias, Katja SAGERSCHNIG, Josef ŠILHAN, Arman TAGHAVI-CHABERT and Vojtěch ŽÁDNÍK. Conformal Patterson-Walker metrics. The Asian Journal of Mathematics. Boston: International Press, 2019, vol. 23, No 5, p. 703-734. ISSN 1093-6106. Available from: https://dx.doi.org/10.4310/AJM.2019.v23.n5.a1. |
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@article{1662899,
author = {Hammerl, Matthias and Sagerschnig, Katja and Šilhan, Josef and TaghaviandChabert, Arman and Žádník, Vojtěch},
article_location = {Boston},
article_number = {5},
doi = {http://dx.doi.org/10.4310/AJM.2019.v23.n5.a1},
keywords = {Differential geometry; Parabolic geometry; Projective structure; Conformal structure; Einstein metrics; Conformal Killing field; Twistor spinors},
language = {eng},
issn = {1093-6106},
journal = {The Asian Journal of Mathematics},
title = {Conformal Patterson-Walker metrics},
url = {https://www.intlpress.com/site/pub/pages/journals/items/ajm/content/vols/0023/0005/a001/index.php},
volume = {23},
year = {2019}
}
TY - JOUR
ID - 1662899
AU - Hammerl, Matthias - Sagerschnig, Katja - Šilhan, Josef - Taghavi-Chabert, Arman - Žádník, Vojtěch
PY - 2019
TI - Conformal Patterson-Walker metrics
JF - The Asian Journal of Mathematics
VL - 23
IS - 5
SP - 703-734
EP - 703-734
PB - International Press
SN - 10936106
KW - Differential geometry
KW - Parabolic geometry
KW - Projective structure
KW - Conformal structure
KW - Einstein metrics
KW - Conformal Killing field
KW - Twistor spinors
UR - https://www.intlpress.com/site/pub/pages/journals/items/ajm/content/vols/0023/0005/a001/index.php
L2 - https://www.intlpress.com/site/pub/pages/journals/items/ajm/content/vols/0023/0005/a001/index.php
N2 - The classical Patterson-Walker construction of a split-signature (pseudo-)Riemannian structure from a given torsion-free affine connection is generalized to a construction of a split-signature conformal structure from a given projective class of connections. A characterization of the induced structures is obtained. We achieve a complete description of Einstein metrics in the conformal class formed by the Patterson-Walker metric. Finally, we describe all symmetries of the conformal Patterson-Walker metric. In both cases we obtain descriptions in terms of geometric data on the original structure.
ER -
HAMMERL, Matthias, Katja SAGERSCHNIG, Josef ŠILHAN, Arman TAGHAVI-CHABERT and Vojtěch ŽÁDNÍK. Conformal Patterson-Walker metrics. \textit{The Asian Journal of Mathematics}. Boston: International Press, 2019, vol.~23, No~5, p.~703-734. ISSN~1093-6106. Available from: https://dx.doi.org/10.4310/AJM.2019.v23.n5.a1.
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