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4,008
OF CONSTANT CURVATURE
, 2000
"... A recent result by Haggag and HajjBoutros [1] is reviewed within the framework of selfsimilar spacetimes, extending, in some sense, their results and presenting a family of metrics consisting of all the static spherically symmetric perfect fluid solutions admitting a homothety. PACS numbers: 04.2 ..."
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A recent result by Haggag and HajjBoutros [1] is reviewed within the framework of selfsimilar spacetimes, extending, in some sense, their results and presenting a family of metrics consisting of all the static spherically symmetric perfect fluid solutions admitting a homothety. PACS numbers: 04.20Jb, 02.40+m, 98.80Dr 0 In a recent paper, Haggag and HajjBoutros [1] presented a static, spherically symmetric perfect fluid solution with a stiffmatter type equation of state (i.e.: p = µ). By means of a few clever changes of coordinates, the authors reduce the problem to that of solving a nonlinear, second order differential equation, whose polynomic solutions they investigate showing that only three such solutions exist, two of them being vacuum (flat Minkowski spacetime and Schwarzschild solution) and the third one being that leading to the new metric referred to above, henceforth called HHB solution. The purpose of this letter is to give all the static, spherically symmetric perfect
Spaces of Constant Curvature
"... In this paper we study spaces of constant curvature with an emphasis on examples and classification results. We start by looking at surfaces of revolution with constant curvature and derive a classification of them. We then look at complete surfaces of constant curvature, classifying flat surfaces. ..."
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In this paper we study spaces of constant curvature with an emphasis on examples and classification results. We start by looking at surfaces of revolution with constant curvature and derive a classification of them. We then look at complete surfaces of constant curvature, classifying flat surfaces
GEODESCIS IN RANDERS SPACES OF CONSTANT CURVATURE
, 2005
"... Abstract. Geodesics in Randers spaces of constant curvature are classified. ..."
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Abstract. Geodesics in Randers spaces of constant curvature are classified.
Conformal deformation of a Riemannian metric to constant curvature
 J. Diff. Geome
, 1984
"... A wellknown open question in differential geometry is the question of whether a given compact Riemannian manifold is necessarily conformally equivalent to one of constant scalar curvature. This problem is known as the Yamabe problem because it was formulated by Yamabe [8] in 1960, While Yamabe&apos ..."
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Cited by 308 (0 self)
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A wellknown open question in differential geometry is the question of whether a given compact Riemannian manifold is necessarily conformally equivalent to one of constant scalar curvature. This problem is known as the Yamabe problem because it was formulated by Yamabe [8] in 1960, While Yamabe
Geodesics in Randers spaces of constant curvature
, 2005
"... Abstract. Geodesics in Randers spaces of constant curvature are classified. 1. ..."
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Cited by 13 (0 self)
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Abstract. Geodesics in Randers spaces of constant curvature are classified. 1.
Knots of constant curvature
, 2004
"... In this paper we show how to realize all knot (and link) types as C 2 smooth curves of constant curvature. Our proof is constructive: we build the knots with copies of a fixed finite number of ”building blocks ” that are particular segments of helices and circles. We use these building blocks to con ..."
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Cited by 3 (0 self)
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In this paper we show how to realize all knot (and link) types as C 2 smooth curves of constant curvature. Our proof is constructive: we build the knots with copies of a fixed finite number of ”building blocks ” that are particular segments of helices and circles. We use these building blocks
on Spaces of Constant Curvature
"... An analysis of one and two point functions of the energy momentum tensor on homogeneous spaces of constant curvature is undertaken. The possibility of proving a ctheorem in this framework is discussed, in particular in relation to the coefficients c, a, which appear in the energy momentum tensor tr ..."
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An analysis of one and two point functions of the energy momentum tensor on homogeneous spaces of constant curvature is undertaken. The possibility of proving a ctheorem in this framework is discussed, in particular in relation to the coefficients c, a, which appear in the energy momentum tensor
Kepler Problem in the Constant Curvature Space.
, 705
"... We present algebraic derivation of the result of Schrödinger [1] for the spectrum of hydrogen atom in the space with constant curvature. 1 ..."
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Cited by 2 (1 self)
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We present algebraic derivation of the result of Schrödinger [1] for the spectrum of hydrogen atom in the space with constant curvature. 1
CURVES WITH CONSTANT CURVATURE RATIOS
, 2004
"... Abstract. Curves in R n for which the ratios between two consecutive curvatures are constant are characterized by the fact that their tangent indicatrix is a geodesic in a flat torus. For n = 3,4, spherical curves of this kind are also studied and compared with intrinsic helices in the sphere. 1. ..."
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Cited by 7 (0 self)
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Abstract. Curves in R n for which the ratios between two consecutive curvatures are constant are characterized by the fact that their tangent indicatrix is a geodesic in a flat torus. For n = 3,4, spherical curves of this kind are also studied and compared with intrinsic helices in the sphere. 1.
Integrable systems and metrics of constant curvature
, 2008
"... In this article we present a Lagrangian representation for evolutionary systems with a Hamiltonian structure determined by a differentialgeometric Poisson bracket of the first order associated with metrics of constant curvature. KaupBoussinesq system has three local Hamiltonian structures and one ..."
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Cited by 12 (5 self)
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In this article we present a Lagrangian representation for evolutionary systems with a Hamiltonian structure determined by a differentialgeometric Poisson bracket of the first order associated with metrics of constant curvature. KaupBoussinesq system has three local Hamiltonian structures and one
Results 1  10
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