E-mail: , ,
Keywords: Holonomy group, holonomy algebra, Lorentzian manifold, curvature tensor, supermanifold.
UDC: 514.83

Subject:

Holonomy theory, pseudo-Riemannian geometry, Supergeometry

Main publications:

1. Galaev A.S., “Metrics that realize all Lorentzian holonomy algebras”, Int. J. Geom. Methods Mod. Phys., 3:5-6 (2006), 1025–1045      
2. Galaev A.S., “Holonomy of supermanifolds”, Abh. Math. Semin. Univ. Hambg, 79:1 (2009), 47–78      
3. Galaev A.S., “Holonomy of Einstein Lorentzian manifolds”, Classical Quantum Gravity, 27:7 (2010), 075008, 13 pp.        
4. Alekseevsky D.V., Galaev A.S., “Two-symmetric Lorentzian manifolds”, J. Geom. Phys., 61:12 (2011), 2331–2340        
5. Galaev A.S., “Irreducible holonomy algebras of Riemannian supermanifolds”, Ann. Global Anal. Geom., 42:1 (2012), 1–27      

Publications in Math-Net.Ru

Presentations in Math-Net.Ru

Personal pages:

• 
• 

Organisations:

• University of Hradec Králové
• Masaryk University, Brno