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Two-dimensional Lorentzial orbifolds of constant curvature with essential isometry group

Student: Elena Bogolepova

Supervisor: Nina Zhukova

Faculty: Faculty of Informatics, Mathematics, and Computer Science (HSE Nizhny Novgorod)

Educational Programme: Mathematics (Bachelor)

Final Grade: 10

Year of Graduation: 2020

Lorentzian geometry differs significantly from Riemannian geometry. It is known that any smooth orbifold admits a Riemannian metric, which is not true for the Lorentz metric. The existence of a Lorentz metric on an orbifold imposes restrictions on its structure. Orbifolds are used in various fields of mathematics and physics. They arise in the theory of foliations as Hausdorff spaces of compact foliations. W. Thurston applied the classification of two-dimensional compact orbifolds to the classification of closed three-dimensional manifolds. Orbifolds are used as string propagation spaces in theoretical physics. The purpose of this qualification work is to study the structure of non-compact smooth two-dimensional complete Lorentz orbifolds of constant curvature with an essential group of isometries.

Full text (added May 14, 2020)

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