| ŠILHAN, Josef a Rod GOVER. The conformal Killing equation on forms; prolongations and applications. Online. Differential Geometry and its Applications. Amsterdam: Elsevier Science, 2008, roč. 26, č. 3, s. 244-266, 22 s. ISSN 0926-2245. [citováno 2024-04-23] |
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@article{769664,
author = {Šilhan, Josef and Gover, Rod},
article_location = {Amsterdam},
article_number = {3},
keywords = {Conformal differential geometry; Elliptic partial differential equations; Symmetry equations},
language = {eng},
issn = {0926-2245},
journal = {Differential Geometry and its Applications},
title = {The conformal Killing equation on forms; prolongations and applications},
url = {http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TYY-4RH2ST5-1&_user=1162421&_rdoc=1&_fmt=&_orig=search&_sort=d&view=c&_acct=C000051831&_version=1&_urlVersion=0&_userid=1162421&md5=3aaf9d02d42bb8fc5e453d183b7090fe},
volume = {26},
year = {2008}
}
TY - JOUR
ID - 769664
AU - Šilhan, Josef - Gover, Rod
PY - 2008
TI - The conformal Killing equation on forms; prolongations and applications
JF - Differential Geometry and its Applications
VL - 26
IS - 3
SP - 244-266
EP - 244-266
PB - Elsevier Science
SN - 09262245
KW - Conformal differential geometry
KW - Elliptic partial differential equations
KW - Symmetry equations
UR - http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TYY-4RH2ST5-1&_user=1162421&_rdoc=1&_fmt=&_orig=search&_sort=d&view=c&_acct=C000051831&_version=1&_urlVersion=0&_userid=1162421&md5=3aaf9d02d42bb8fc5e453d183b7090fe
N2 - We construct a conformally invariant vector bundle connection such that its equation of parallel transport is a first order system that gives a prolongation of the conformal Killing equation on differential forms. Parallel sections of this connection are related bijectively to solutions of the conformal Killing equation. We construct other conformally invariant connections, also giving prolongations of the conformal Killing equation, that bijectively relate solutions of the conformal Killing equation on k forms to a twisting of the conformal Killing equation on k' forms for various integers k'. These tools are used to develop a helicity raising and lowering construction in the general setting and on conformally Einstein manifolds.
ER -
ŠILHAN, Josef a Rod GOVER. The conformal Killing equation on forms; prolongations and applications. Online. \textit{Differential Geometry and its Applications}. Amsterdam: Elsevier Science, 2008, roč.~26, č.~3, s.~244-266, 22 s. ISSN~0926-2245. [citováno 2024-04-23]
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