Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
38 (1997), S. 946-980
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
Two-dimensional gravity with torsion is considered assuming Euclidean signature of the metric. A general solution of the Euler–Lagrange equations is found in the conformal gauge. Extremals and geodesics are found and analyzed. All global Euclidean solutions are explicitly constructed and classified. Besides the constant curvature Riemann surfaces of arbitrary genus there are a large number of compact and noncompact surfaces of nonconstant curvature and non-trivial torsion possessing conical singularities. The relation between Lorentz and Euclidean global solutions is analyzed. © 1997 American Institute of Physics.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.531897
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