Detailed Information on Publication Record
2017
PROLONGATION OF SYMMETRIC KILLING TENSORS AND COMMUTING SYMMETRIES OF THE LAPLACE OPERATOR
MICHEL, Jean-Philippe, Petr SOMBERG and Josef ŠILHANBasic information
Original name
PROLONGATION OF SYMMETRIC KILLING TENSORS AND COMMUTING SYMMETRIES OF THE LAPLACE OPERATOR
Authors
MICHEL, Jean-Philippe (250 France), Petr SOMBERG (203 Czech Republic) and Josef ŠILHAN (203 Czech Republic, guarantor, belonging to the institution)
Edition
Rocky Mountain Journal of Mathematics, TEMPE, ROCKY MT MATH CONSORTIUM, 2017, 0035-7596
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
United States of America
Confidentiality degree
není předmětem státního či obchodního tajemství
Impact factor
Impact factor: 0.330
RIV identification code
RIV/00216224:14310/17:00095529
Organization unit
Faculty of Science
UT WoS
000399753600014
Keywords in English
Killing tensors; prolongation of PDEs; commuting symmetries of Laplace operator
Tags
International impact, Reviewed
Změněno: 10/4/2018 23:05, Ing. Nicole Zrilić
Abstract
V originále
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.
Links
| GBP201/12/G028, research and development project |
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