Chern-Simons terms as an example of the relations between mathematics and physics
Classical limit of a quantum particle in an external Yang-Mills field
Computational studies of conserved mean-curvature flow
The paper presents the results of numerical solution of the evolution law for the constrained mean-curvature flow. This law originates in the theory of phase transitions for crystalline materials and describes the evolution of closed embedded curves with constant enclosed area. It is reformulated by means of the direct method into the system of degenerate parabolic partial differential equations for the curve parametrization. This system is solved numerically and several computational studies are...
Computational studies of non-local anisotropic Allen-Cahn equation
The paper presents the results of numerical solution of the Allen-Cahn equation with a non-local term. This equation originally mentioned by Rubinstein and Sternberg in 1992 is related to the mean-curvature flow with the constraint of constant volume enclosed by the evolving curve. We study this motion approximately by the mentioned PDE, generalize the problem by including anisotropy and discuss the computational results obtained.
Connections on distributional bundles
Conservation laws and string-like matter distributions
Contributions to polynomial conformal tensors
Convexity properties of the moment mapping. II.
Convexity properties of the moment mapping. III.
Correction to: Stabel Minimal Surfaces and Spatial Topology in General Relativity.
Courbure scalaire et trous noirs