| HAMMERL, Matthias, Katja SAGERSCHNIG, Josef ŠILHAN a Vojtěch ŽÁDNÍK. Modified conformal extensions. Annals of Global Analysis and Geometry. Springer, 2023, roč. 64, č. 3, s. 1-37. ISSN 0232-704X. Dostupné z: https://dx.doi.org/10.1007/s10455-023-09918-9. |
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@article{2367677,
author = {Hammerl, Matthias and Sagerschnig, Katja and Šilhan, Josef and Žádník, Vojtěch},
article_number = {3},
doi = {http://dx.doi.org/10.1007/s10455-023-09918-9},
keywords = {Differential geometry; Patterson-Walker metric; Projective structure; Conformal structure; Conformal Killing field; Einstein metric; Fefferman-Graham ambient metrics},
language = {eng},
issn = {0232-704X},
journal = {Annals of Global Analysis and Geometry},
title = {Modified conformal extensions},
url = {https://link.springer.com/article/10.1007/s10455-023-09918-9},
volume = {64},
year = {2023}
}
TY - JOUR
ID - 2367677
AU - Hammerl, Matthias - Sagerschnig, Katja - Šilhan, Josef - Žádník, Vojtěch
PY - 2023
TI - Modified conformal extensions
JF - Annals of Global Analysis and Geometry
VL - 64
IS - 3
SP - 1-37
EP - 1-37
PB - Springer
SN - 0232704X
KW - Differential geometry
KW - Patterson-Walker metric
KW - Projective structure
KW - Conformal structure
KW - Conformal Killing field
KW - Einstein metric
KW - Fefferman-Graham ambient metrics
UR - https://link.springer.com/article/10.1007/s10455-023-09918-9
N2 - We present a geometric construction and characterization of 2n-dimensional split-signature conformal structures endowed with a twistor spinor with integrable kernel. The construction is regarded as a modification of the conformal Patterson-Walker metric construction for n-dimensional projective manifolds. The characterization is presented in terms of the twistor spinor and an integrability condition on the conformal Weyl curvature. We further derive a complete description of Einstein metrics and infinitesimal conformal symmetries in terms of suitable projective data. Finally, we obtain an explicit geometrically constructed Fefferman-Graham ambient metric and show the vanishing of the Q-curvature.
ER -
HAMMERL, Matthias, Katja SAGERSCHNIG, Josef ŠILHAN a Vojtěch ŽÁDNÍK. Modified conformal extensions. \textit{Annals of Global Analysis and Geometry}. Springer, 2023, roč.~64, č.~3, s.~1-37. ISSN~0232-704X. Dostupné z: https://dx.doi.org/10.1007/s10455-023-09918-9.
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