| MICHEL, Jean-Philippe, Petr SOMBERG and Josef ŠILHAN. PROLONGATION OF SYMMETRIC KILLING TENSORS AND COMMUTING SYMMETRIES OF THE LAPLACE OPERATOR. Rocky Mountain Journal of Mathematics. TEMPE: ROCKY MT MATH CONSORTIUM, 2017, vol. 47, No 2, p. 587-619. ISSN 0035-7596. Available from: https://dx.doi.org/10.1216/RMJ-2017-47-2-587. |
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@article{1409544,
author = {Michel, JeanandPhilippe and Somberg, Petr and Šilhan, Josef},
article_location = {TEMPE},
article_number = {2},
doi = {http://dx.doi.org/10.1216/RMJ-2017-47-2-587},
keywords = {Killing tensors; prolongation of PDEs; commuting symmetries of Laplace operator},
language = {eng},
issn = {0035-7596},
journal = {Rocky Mountain Journal of Mathematics},
title = {PROLONGATION OF SYMMETRIC KILLING TENSORS AND COMMUTING SYMMETRIES OF THE LAPLACE OPERATOR},
volume = {47},
year = {2017}
}
TY - JOUR
ID - 1409544
AU - Michel, Jean-Philippe - Somberg, Petr - Šilhan, Josef
PY - 2017
TI - PROLONGATION OF SYMMETRIC KILLING TENSORS AND COMMUTING SYMMETRIES OF THE LAPLACE OPERATOR
JF - Rocky Mountain Journal of Mathematics
VL - 47
IS - 2
SP - 587-619
EP - 587-619
PB - ROCKY MT MATH CONSORTIUM
SN - 00357596
KW - Killing tensors
KW - prolongation of PDEs
KW - commuting symmetries of Laplace operator
N2 - We determine the space of commuting symmetries of the Laplace operator on pseudo-Riemannian manifolds of constant curvature and derive its algebra structure. Our construction is based on Riemannian tractor calculus, allowing us to construct a prolongation of the differential system for symmetric Killing tensors. We also discuss some aspects of its relation to projective differential geometry.
ER -
MICHEL, Jean-Philippe, Petr SOMBERG and Josef ŠILHAN. PROLONGATION OF SYMMETRIC KILLING TENSORS AND COMMUTING SYMMETRIES OF THE LAPLACE OPERATOR. \textit{Rocky Mountain Journal of Mathematics}. TEMPE: ROCKY MT MATH CONSORTIUM, 2017, vol.~47, No~2, p.~587-619. ISSN~0035-7596. Available from: https://dx.doi.org/10.1216/RMJ-2017-47-2-587.
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