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211,286
Geometrical symmetries of the Universal equation
, 1994
"... It is shown that the group of geometrical symmetries of the Universal equation of Ddimensional space coincides with SL(D + 1, R). 1 ..."
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It is shown that the group of geometrical symmetries of the Universal equation of Ddimensional space coincides with SL(D + 1, R). 1
Geometric symmetries on Lorentzian manifolds
, 2009
"... Abstract: Lie derivatives of various geometrical and physical quantities define symmetries and conformal symmetries in general relativity. Thus we obtain motions, collineations, conformal motions and conformal collineations. These symmetries are used not only to find new solutions of Einsteinâ€™s fiel ..."
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Abstract: Lie derivatives of various geometrical and physical quantities define symmetries and conformal symmetries in general relativity. Thus we obtain motions, collineations, conformal motions and conformal collineations. These symmetries are used not only to find new solutions of Einsteinâ€™s
Natural Intrinsic Geometrical Symmetries
 SYMMETRY, INTEGRABILITY AND GEOMETRY: METHODS AND APPLICATIONS, SIGMA 5
, 2009
"... A proposal is made for what could well be the most natural symmetrical Riemannian spaces which are homogeneous but not isotropic, i.e. of what could well be the most natural class of symmetrical spaces beyond the spaces of constant Riemannian curvature, that is, beyond the spaces which are homogeneo ..."
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Cited by 1 (0 self)
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A proposal is made for what could well be the most natural symmetrical Riemannian spaces which are homogeneous but not isotropic, i.e. of what could well be the most natural class of symmetrical spaces beyond the spaces of constant Riemannian curvature, that is, beyond the spaces which are homogeneous and isotropic, or, still, the spaces which satisfy the axiom of free mobility.
Designing for Geometrical Symmetry Exploitation
, 2006
"... Symmetry exploiting software based on the generalized Fourier transform (GFT) is presented from a practical design point of view. The algorithms and data structures map closely to the relevant mathematical abstractions, which primarily are based upon representation theory for groups. Particular care ..."
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Cited by 1 (0 self)
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Symmetry exploiting software based on the generalized Fourier transform (GFT) is presented from a practical design point of view. The algorithms and data structures map closely to the relevant mathematical abstractions, which primarily are based upon representation theory for groups. Particular
Designing for Geometrical Symmetry Exploitation
, 2006
"... Symmetry exploiting software based on the generalized Fourier transform (GFT) is presented from a practical design point of view. The algorithms and data structures map closely to the relevant mathematical abstractions, which primarily are based upon representation theory for groups. Particular care ..."
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Symmetry exploiting software based on the generalized Fourier transform (GFT) is presented from a practical design point of view. The algorithms and data structures map closely to the relevant mathematical abstractions, which primarily are based upon representation theory for groups. Particular
GAUSSIAN MARGINALS OF PROBABILITY MEASURES WITH GEOMETRIC SYMMETRIES
, 2006
"... Abstract. Motivated by the multivariate version of the central limit problem for convex bodies, we prove normal approximation theorems for kdimensional marginals of probability measures on R n possessing certain geometric symmetries. In particular, we derive results for uniform measures on 1uncond ..."
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Cited by 1 (0 self)
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Abstract. Motivated by the multivariate version of the central limit problem for convex bodies, we prove normal approximation theorems for kdimensional marginals of probability measures on R n possessing certain geometric symmetries. In particular, we derive results for uniform measures on 1
IASSNS96/33 Complexity, Tunneling and Geometrical Symmetry
, 2008
"... It is demonstrated in the context of the simple onedimensional example of a barrier in an infinite well, that highly complex behavior of the time evolution of a wave function is associated with the almost degeneracy of levels in the process of tunneling. Degenerate conditions are obtained by shifti ..."
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by shifting the position of the barrier. The complexity strength depends on the number of almost degenerate levels which depend on geometrical symmetry. The presence of complex behavior is studied to establish correlation with spectral degeneracy.
A fast ellipse/circle detector using geometric symmetry
 Pattern Recognition
, 1995
"... AbstractThrough the use of a global geometric symmetry, a fast ellipse/circle detector isproposed in this paper. Based on the geometric symmetry, the proposed method first locates candidates ofellipse and circle centers. In the meantime, according to these candidate centers, all feature points in ..."
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Cited by 33 (0 self)
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AbstractThrough the use of a global geometric symmetry, a fast ellipse/circle detector isproposed in this paper. Based on the geometric symmetry, the proposed method first locates candidates ofellipse and circle centers. In the meantime, according to these candidate centers, all feature points
Geometrical symmetry and the fine structure of regular polyhedra
"... We shall be concerned with geometrical figures with a high degree of symmetry, in both 2D and 3D. In 3D the most symmetrical figures are the five Platonic solids, which we shall see how to construct in the last section. There are many ways to do this, and many described in the literature, but the mo ..."
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We shall be concerned with geometrical figures with a high degree of symmetry, in both 2D and 3D. In 3D the most symmetrical figures are the five Platonic solids, which we shall see how to construct in the last section. There are many ways to do this, and many described in the literature
Homological Algebra of Mirror Symmetry
 in Proceedings of the International Congress of Mathematicians
, 1994
"... Mirror Symmetry was discovered several years ago in string theory as a duality between families of 3dimensional CalabiYau manifolds (more precisely, complex algebraic manifolds possessing holomorphic volume elements without zeroes). The name comes from the symmetry among Hodge numbers. For dual Ca ..."
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Cited by 529 (3 self)
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Mirror Symmetry was discovered several years ago in string theory as a duality between families of 3dimensional CalabiYau manifolds (more precisely, complex algebraic manifolds possessing holomorphic volume elements without zeroes). The name comes from the symmetry among Hodge numbers. For dual
Results 1  10
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211,286