HAMMERL, Matthias, Katja SAGERSCHNIG, Josef ŠILHAN, Arman TAGHAVI-CHABERT a Vojtěch ŽÁDNÍK. Conformal Patterson-Walker metrics. The Asian Journal of Mathematics. Boston: International Press, 2019, roč. 23, č. 5, s. 703-734. ISSN 1093-6106. Dostupné z: 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 a Vojtěch ŽÁDNÍK. Conformal Patterson-Walker metrics. \textit{The Asian Journal of Mathematics}. Boston: International Press, 2019, roč.~23, č.~5, s.~703-734. ISSN~1093-6106. Dostupné z: https://dx.doi.org/10.4310/AJM.2019.v23.n5.a1.
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