Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Second Order Symmetries of the Conformal Laplacian
Репозиторій DSpace/Manakin
- Домашня сторінка
- →
- Фізико-технічні та математичні науки
- →
- Відділення математики
- →
- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10, випуск за цей рік
- →
- Переглянути статтю
JavaScript is disabled for your browser. Some features of this site may not work without it.
Second Order Symmetries of the Conformal Laplacian
Інший ID:
2010 Mathematics Subject Classification: 58J10; 53A30; 70S10; 53D20; 53D55
DOI:10.3842/SIGMA.2014.016
DOI:10.3842/SIGMA.2014.016
Посилання:
Second Order Symmetries of the Conformal Laplacian / J.P. Michel, F. Radoux, J. Šilhan // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 31 назв. — англ.
Підтримка:
A special thanks is due to Jonathan Kress which points out a mistake in one of the example
provided in the first version of this paper. It is a pleasure to acknowledge also Christian Duval
and Galliano Valent for their constant interest in this work. Josef Silhan would like to thank ˇ
Pawel Nurowski for helpful discussions.
This research has been partially funded by the Interuniversity Attraction Poles Program
initiated by the Belgian Science Policy Of fice. J. Silhan was supported by the grant agency of ˇ
the Czech republic under the grant P201/12/G028.
Дата:
2014
Переглядів:
553
Завантажень:
294
Анотація:
Let (M,g) be an arbitrary pseudo-Riemannian manifold of dimension at least 3. We determine the form of all the conformal symmetries of the conformal (or Yamabe) Laplacian on (M,g), which are given by differential operators of second order. They are constructed from conformal Killing 2-tensors satisfying a natural and conformally invariant condition. As a consequence, we get also the classification of the second order symmetries of the conformal Laplacian. Our results generalize the ones of Eastwood and Carter, which hold on conformally flat and Einstein manifolds respectively. We illustrate our results on two families of examples in dimension three.
