Generalized exterior forms, geometry and space-time
نویسندگان
چکیده
منابع مشابه
Generalized Space Forms
Spaces with radially symmetric curvature at base point p are shown to be diffeomorphic to space forms. Furthermore, they are either isometric to Rn or Sn under a radially symmetric metric, to RPn with Riemannian universal covering of Sn equipped with a radially symmetric metric, or else have constant curvature outside a metric ball of radius equal to the injectivity
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Non-Euclidean method of the generalized geometry construction is considered. According to this approach any generalized geometry is obtained as a result of deformation of the proper Euclidean geometry. The method may be applied for construction of space-time geometries. Uniform isotropic space-time geometry other, than that of Minkowski, is considered as an example. The problem of the geometric...
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Let W be a vector space of dimension n+ 1 over a field K. The Chow divisor of a k-dimensional variety X in P = P(W ) is the hypersurface, in the Grassmannian Gk+1 of planes of codimension k+1 in P, whose points (over the algebraic closure of K) are the planes that meet X . The Chow form of X is the defining equation of the Chow divisor. For example, the resultant of k+ 1 forms of degree e in k ...
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AdS/CFT correspondence [1] conjectures an equivalence between the string/gravity theory on AdS5 × S and the conformal gauge theory of N = 4 super Yang–Mills (SYM) in the four-dimensional Minkowski space, which appears as the boundary to the five-dimensional anti de Sitter (AdS5) space. With the correspondence reversed, the AdS string/gravity can be regarded as built up over the fourdimensional ...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2001
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/18/14/102