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Faculty of Science

Anton Galaev, Dr. rer. nat.

Basic CV Supervisor Qualifications Publications Projects Teaching

2012

Irreducible holonomy algebras of Riemannian supermanifolds

GALAEV, Anton.
Irreducible holonomy algebras of Riemannian supermanifolds. Annals of Global Analysis and Geometry, Springer P.O. AH Dordrecht, Springer, The Nederlands. ISSN 0232-704X, 2012, vol. 42, no. 1, pp. 1-27.

Some applications of the Lorentzian holonomy algebras

GALAEV, Anton.
Some applications of the Lorentzian holonomy algebras. Journal of Geometry and Symmetry in Physics, Bulgaria. ISSN 1312-5192, 2012, vol. 26, no. 1, pp. 13-31.

2011

Examples of Einstein spacetimes with recurrent null vector fields

GALAEV, Anton.
Examples of Einstein spacetimes with recurrent null vector fields. Classical and Quantum Gravity, UK, IOP Publishing Ltd., Great Britain. ISSN 0264-9381, 2011, vol. 28, no. 175022, pp. 1-6.

Irreducible Holonomy Algebras of Odd Riemannian Supermanifolds

GALAEV, Anton.
Irreducible Holonomy Algebras of Odd Riemannian Supermanifolds. Lobachevskii Journal of Mathematics, Russia. ISSN 1995-0802, 2011, vol. 32, no. 2, pp. 163-173.

Lorentzian holonomy algebras and their applications

GALAEV, Anton.
Lorentzian holonomy algebras and their applications. 2011. ISBN 978-9952-8018-3-5.

On the Einstein equation on Lorentzian manifolds with parallel distributions of isotropic lines

GALAEV, Anton.
On the Einstein equation on Lorentzian manifolds with parallel distributions of isotropic lines. Sci. Proc. Kazan Univ., Russia. ISSN 1815-6088, 2011, vol. 153, no. 3, pp. 165-174.

Two-symmetric Lorentzian manifolds

ALEKSEEVSKIY, Dmitry - GALAEV, Anton.
Two-symmetric Lorentzian manifolds. Journal of Geometry and Physics, Amsterdam, Elsevier Science, The Nederlands. ISSN 0393-0440, 2011, vol. 61, no. 12, pp. 2331-2340.

2010

Holonomy of Einstein Lorentzian manifolds

GALAEV, Anton.
Holonomy of Einstein Lorentzian manifolds. Classical and Quantum Gravity, UK, IOP Publishing Ltd., Great Britain. ISSN 0264-9381, 2010, vol. 27, no. 7/075008, pp. 1-13.

On the Einstein equation on Lorentzian manifolds with parallel distributions of isotropic lines

GALAEV, Anton.
On the Einstein equation on Lorentzian manifolds with parallel distributions of isotropic lines. In RELATIVITY, GRAVITY and GEOMETRY. Petrov 2010 Anniversary Symposium on General Relativity and Gravitation. Contributed Papers. Kazan, 1–6 November, 2010. Kazan : Kazan Federal University, 2010. ISBN 978-5-9222-0368-5, pp. 91-100. 1.11.2010, Kazan.

On the local structure of Lorentzian Einstein manifolds with parallel distribution of null lines

GALAEV, Anton - LEISTNER, Thomas.
On the local structure of Lorentzian Einstein manifolds with parallel distribution of null lines. Classical and Quantum Gravity, UK, IOP Publishing Ltd., Great Britain. ISSN 0264-9381, 2010, vol. 27, no. 225003, 16 pp.

One component of the curvature tensor of a Lorentzian manifold

GALAEV, Anton.
One component of the curvature tensor of a Lorentzian manifold. Journal of Geometry and Physics, Amsterdam, Elsevier Science, The Nederlands. ISSN 0393-0440, 2010, vol. 60, no. 6, 962-971 pp.

Recent developments in pseudo-Riemannian holonomy theory

GALAEV, Anton - LEISTNER, Thomas.
Recent developments in pseudo-Riemannian holonomy theory. In Handbook of Pseudo-Riemannian Geometry and Supersymmetry. Zürich : Eur. Math. Soc., 2010. IRMA Lectures in Math. and Theoretical Phys. V. 16, ISBN 978-3-03719-079-1, pp. 581-628.

2009

Algebry golonomii lorencevyh mnogoobrazij Jejnshtejna (Rus)

GALAEV, Anton.
Algebry golonomii lorencevyh mnogoobrazij Jejnshtejna (Rus). In Proceedings of the school-conference "Lobachevskian readings 2009". Kazan : Kazan mathematical society, Vol. 39, 2009. ISBN 5-900044-74-2, pp. 19-23. 1.11.2009, Kazan, Russia.

Cones over pseudo-Riemannian manifolds and their holonomy

GALAEV, Anton - ALEKSEEVSKY, Dmitry - CORTES, Vicente - LEISTNER, Thomas.
Cones over pseudo-Riemannian manifolds and their holonomy. Journal für die reine und angewandte Mathematik, Berlín, Walter de Gruyter & co, Germany. ISSN 0075-4102, 2009, vol. 2009, no. 635, pp. 23-69.

Holonomy of supermanifolds

GALAEV, Anton.
Holonomy of supermanifolds. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, Göttingen, Vandenhoeck & Ruprecht, Germany. ISSN 0025-5858, 2009, vol. 79/2009, no. 1, pp. 47-78.

Irreducible complex skew-Berger algebras

GALAEV, Anton.
Irreducible complex skew-Berger algebras. Differential Geometry and its Applications, The Nederlands. ISSN 0926-2245, 2009, vol. 2009, no. 27, pp. 743-754.

2008

Holonomy groups of Lorentzian manifolds: classification, examples, and applications

GALAEV, Anton - LEISTNER, Thomas.
Holonomy groups of Lorentzian manifolds: classification, examples, and applications. In Leistner, Thomas. Recent developments in pseudo-Riemannian geometry. Vienna, Austria : European Mathematical Society, 2008. ESI Lectures in Mathematics and Physics, ISBN 978-3-03719-051-7, pp. 53-97.

Ob algebrax golonomii linejnyx svjaznostej na super mnogoobrazijax (rus)

GALAEV, Anton.
Ob algebrax golonomii linejnyx svjaznostej na super mnogoobrazijax (rus). In Modern problems of differensial geometry and general algebra. Proceedings of the international conference dedicated to the 100 th birthday of V.V.Wagner. Saratov : Saratov State University, 2008. ISBN 978-5-292-03818-4, pp. 76-78. 4.11.2009, Saratov.

2007

O golonomii supermnogoobrazij (rus)

GALAEV, Anton.
O golonomii supermnogoobrazij (rus). In Works of the Lobachevskian mathematical centrum, Volume 78. The proceedings of the 6th school-conference "Lobachevskian readings". Kazan : Kazan Mathematical Society, Kazan State University, 2007. ISBN 5-900044-74-2, pp. 51-53. 14.12.2007, The 6th school-conference "Lobachevskian readin.

2006

Isometry groups of Lobachevskian spaces, similarity transformation groups of Euclidean spaces and Lorentzian holonomy groups

GALAEV, Anton.
Isometry groups of Lobachevskian spaces, similarity transformation groups of Euclidean spaces and Lorentzian holonomy groups. Suppl. Rend. Circ. Mat. Palermo, Italy. ISSN 0009-725X, 2006, vol. 79/2006, p. 87-97.

Metrics that realize all Lorentzian holonomy algebras

GALAEV, Anton.
Metrics that realize all Lorentzian holonomy algebras. Int. J. Geom. Methods Mod. Phys., Italy. ISSN 0219-8878, 2006, vol. (3) 2006, no. 5&6, p. 1025-1045.

2005

The space of curvature tensors for holonomy algebras of Lorentzian manifolds

GALAEV, Anton.
The space of curvature tensors for holonomy algebras of Lorentzian manifolds. Differential Geometry and its Applications, The Nederlands. ISSN 0926-2245, 2005, vol. 22/2005, no. 1, p. 1-18.

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