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in a four - dimensional projective space . The relation to other formalisms is considered briefly. 1. Introduction An invariant classification of the possible types of space -time is the object ...
and the Classification of the Riemann and Ricci Tensors in Space -Time W. J. Cormack and G. S. Hall Department of Mathematics, University of Aberdeen, Aberdeen, Scotland Received March 1, 1979 Some theorems proved ...
Using the canonical forms for symmetric tensors in Minkowski space and the Petrov forms of the Weyl tensor, algebraic relationships between the two kinds of classification are developed for empty ...
We consider the space of superconnections with certain curvature constraints over super Riemann surfaces. We define a moment map over that space to the dual of the super Lie algebra of gauge ...
- dimensional space -time, the Riemann curvature tensor ab may be decomposed [11] as follows: R D C C E C 23g : (1) abcd abcd abcd abcd The Riemann tensor can be algebraically classified by the separate ...
of a four -holed Riemann sphere. The real slice of this character variety is the decorated Teichmüller space of a four -holed Riemann sphere, and can be combinatorially described by a fat-graph and shear ...
OF FINITE SETS MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS » View all Most Read articles Most Cited ASSOCIATED STURM-LIOUVILLE SYSTEMS Generalized Calabi-Yau Manifolds Integer points ...
|\nabla W^{\pm}|^{2} \,, \end{equation*} with equality if and only if $$\nabla W^{\pm } \equiv 0$$. As a consequence using the classification of four - dimensional locally symmetric Einstein manifolds ...
- dimensional vector space with coordinates |$ x^{1}, \dots , x^{4}, u, v$|. Solutions to system (1) correspond to four - dimensional submanifolds of V defined as u = u(x), v = v(x). Their four - dimensional tangent ...
in the theory of finite- dimensional integrable systems. One direction is the study of singularities of integrable systems, and the other one is construction of explicit solutions using algebraic geometric methods ...
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