How to Find the Holonomy Algebra of a Lorentzian Manifold-Reference-Cited by-同舟云学术

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How to Find the Holonomy Algebra of a Lorentzian Manifold

Published:2014-12-16 Issue:2 Volume:105 Page:199-219
ISSN:0377-9017
Container-title:Letters in Mathematical Physics
language:en
Short-container-title:Lett Math Phys

Author:

Galaev Anton S.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/s11005-014-0741-y.pdf

Reference37 articles.

1. Anderson I.M., Torre C.G.: New symbolic tools for differential geometry, gravitation, and field theory. J. Math. Phys. 53(1), 013–511 (12 pp) (2012)

2. Baum, H.: Conformal Killing spinors and the holonomy problem in Lorentzian geometry—a survey of new results. In: Symmetries and overdetermined systems of partial differential equations, 251–264. IMA Vol. Math. Appl., 144. Springer, New York (2008)

3. Baum H., Müller O.: Codazzi spinors and globally hyperbolic manifolds with special holonomy. Math. Z. 258(1), 185–211 (2008)

4. Baum H., Lärz K., Leistner T.: On the full holonomy group of special Lorentzian manifolds. Math. Z. 277(3–4), 797–828 (2014)

5. Bazaikin Y.V.: Globally hyperbolic Lorentzian spaces with special holonomy groups. Siber. Math. J. 50(4), 567–579 (2009)

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Gravitons in a gravitational plane wave;The European Physical Journal C;2024-07-03

2. Parallel spinors on Lorentzian Weyl spaces;Monatshefte für Mathematik;2021-05-12

3. Holonomy groups of Lorentzian manifolds;Russian Mathematical Surveys;2015-04-30

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