SERGYEYEV, Artur a Iosif S. KRASIL'SHCHIK. Integrability of Anti-Self-Dual Vacuum Einstein Equations with Nonzero Cosmological Constant: An Infinite Hierarchy of Nonlocal Conservation Laws. Annales Henri Poincaré. Cham, Switzerland: Springer International Publishing AG, 2019, roč. 20, č. 8, s. 2699-2715. ISSN 1424-0637. Dostupné z: https://dx.doi.org/10.1007/s00023-019-00816-0. |
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@article{32744, author = {Sergyeyev, Artur and Krasil'shchik, Iosif S.}, article_location = {Cham, Switzerland}, article_number = {8}, doi = {http://dx.doi.org/10.1007/s00023-019-00816-0}, keywords = {Przanowski equation; Lax representations; conservation laws; cosmological constant; gravity}, language = {eng}, issn = {1424-0637}, journal = {Annales Henri Poincaré}, title = {Integrability of Anti-Self-Dual Vacuum Einstein Equations with Nonzero Cosmological Constant: An Infinite Hierarchy of Nonlocal Conservation Laws}, url = {https://link.springer.com/article/10.1007%2Fs00023-019-00816-0}, volume = {20}, year = {2019} }
TY - JOUR ID - 32744 AU - Sergyeyev, Artur - Krasil'shchik, Iosif S. PY - 2019 TI - Integrability of Anti-Self-Dual Vacuum Einstein Equations with Nonzero Cosmological Constant: An Infinite Hierarchy of Nonlocal Conservation Laws JF - Annales Henri Poincaré VL - 20 IS - 8 SP - 2699-2715 EP - 2699-2715 PB - Springer International Publishing AG SN - 14240637 KW - Przanowski equation KW - Lax representations KW - conservation laws KW - cosmological constant KW - gravity UR - https://link.springer.com/article/10.1007%2Fs00023-019-00816-0 L2 - https://link.springer.com/article/10.1007%2Fs00023-019-00816-0 N2 - We present an infinite hierarchy of nonlocal conservation laws for the Przanowski equation, an integrable second-order PDE locally equivalent to anti-self-dual vacuum Einstein equations with nonzero cosmological constant. The hierarchy in question is constructed using a nonisospectral Lax pair for the equation under study. As a by product, we obtain an infinite-dimensional differential covering over the Przanowski equation. ER -
SERGYEYEV, Artur a Iosif S. KRASIL'SHCHIK. Integrability of Anti-Self-Dual Vacuum Einstein Equations with Nonzero Cosmological Constant: An Infinite Hierarchy of Nonlocal Conservation Laws. \textit{Annales Henri Poincaré}. Cham, Switzerland: Springer International Publishing AG, 2019, roč.~20, č.~8, s.~2699-2715. ISSN~1424-0637. Dostupné z: https://dx.doi.org/10.1007/s00023-019-00816-0.
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