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102
DOUBLY WARPED PRODUCTS WITH HARMONIC WEYL CONFORMAL CURVATURE TENSOR BY
"... (whose metric gij need not be definite) is called conformally symmetric [4] if its Weyl conformal curvature tensor ..."
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(whose metric gij need not be definite) is called conformally symmetric [4] if its Weyl conformal curvature tensor
Periodic orbits in magnetic fields and Ricci curvature of Lagrangian systems
, 1996
"... Let Mn be a differentiable ndimensional closed manifold endowed with a Riemannian metric gij and with an exact 2form F. We will consider the problem of existence of closed extremals of the functional ..."
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Cited by 13 (0 self)
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Let Mn be a differentiable ndimensional closed manifold endowed with a Riemannian metric gij and with an exact 2form F. We will consider the problem of existence of closed extremals of the functional
A SIMPLE PROOF ON THE NONEXISTENCE OF SHRINKING BREATHERS FOR THE RICCI FLOW
, 2006
"... Abstract. Suppose M is a compact ndimensional manifold, n ≥ 2, with a metric gij(x, t) that evolves by the Ricci flow ∂tgij = −2Rij in M × (0, T). We will give a simple proof of a recent result of Perelman on the nonexistence of shrinking breather without using the logarithmic Sobolev inequality. ..."
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Cited by 9 (7 self)
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Abstract. Suppose M is a compact ndimensional manifold, n ≥ 2, with a metric gij(x, t) that evolves by the Ricci flow ∂tgij = −2Rij in M × (0, T). We will give a simple proof of a recent result of Perelman on the nonexistence of shrinking breather without using the logarithmic Sobolev inequality
Multipole Moments of Static Spacetimes
, 2000
"... years ago [1,2], on multipole moments of static spacetimes. My purpose is to make this work, which lies at the interface of classical potential theory, conformal geometry and general relativity, known to mathematicians and to perhaps motivate them to have a look at the open problems which still rema ..."
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remain. Our basic object will be an asymptotically flat, smooth or analytic Riemannian 3manifold ( ˜ M, ˜gij) where ˜ M is diffeomorphic to R 3 \ BR0 with BR0 the Euclidean ball of radius R0. In the chart given by this diffeomorphism the metric ˜gij is required to satisfy the falloff conditions ˜gij
Gijs van der Ent Title SYMPTOP: A Simulation Toolkit for PeertoPeer Networks
, 2005
"... This thesis describes the design and implementation of the SYMPTOP system, a toolkit for the distributed simulation of PeertoPeer (P2P) filesharing networks. We discuss the performance of P2P systems, and from this discussion derive P2P performance parameters and metrics which we include in the S ..."
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This thesis describes the design and implementation of the SYMPTOP system, a toolkit for the distributed simulation of PeertoPeer (P2P) filesharing networks. We discuss the performance of P2P systems, and from this discussion derive P2P performance parameters and metrics which we include
Monotone volume formulas for geometric flows, arXiv:0905.2328
"... We consider a closed manifold M with a Riemannian metric gij(t) evolving by ∂t gij = −2Sij where Sij(t) is a symmetric twotensor on (M, g(t)). We prove that if Sij satisfies the tensor inequality D(Sij, X) ≥ 0 for all vector fields X on M, where D(Sij, X) is defined in (1.6), then one can construc ..."
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Cited by 10 (1 self)
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We consider a closed manifold M with a Riemannian metric gij(t) evolving by ∂t gij = −2Sij where Sij(t) is a symmetric twotensor on (M, g(t)). We prove that if Sij satisfies the tensor inequality D(Sij, X) ≥ 0 for all vector fields X on M, where D(Sij, X) is defined in (1.6), then one can
Uq(N) gauge theories
"... Improving on an earlier proposal, we construct the gauge theories of the quantum groups Uq(N). We find that these theories are consistent also with an ordinary (commuting) spacetime. The bicovariance conditions of the quantum differential calculus are essential in our construction. The gauge potenti ..."
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Cited by 5 (1 self)
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the YangMills form F i µν F j µν gij, the “quantum metric ” gij being a generalization of the Killing metric.
Bachflat gradient steady Ricci solitons
 Calc. Var. Partial Differential Equations
, 2014
"... Abstract. In this paper we prove that any ndimensional (n ≥ 4) complete Bachflat gradient steady Ricci soliton with positive Ricci curvature is isometric to the Bryant soliton. We also show that a threedimensional gradient steady Ricci soliton with divergencefree Bach tensor is either flat or is ..."
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Cited by 16 (8 self)
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or isometric to the Bryant soliton. In particular, these results improve the corresponding classification theorems for complete locally conformally flat gradient steady Ricci solitons in [8, 10]. 1. The results A complete Riemannian metric gij on a smooth manifold M n is called a gradient Ricci soliton
SUBATECH–02–20 Abelian Matrix Models in Two Loops.
, 2002
"... We perform a twoloop calculation of the effective Lagrangian for the low–energy modes of the quantum mechanical system obtained by dimensional reduction from 4D, N = 1 supersymmetric QED. The bosonic part of the Lagrangian describes the motion over moduli space of vector potentials Ai endowed with ..."
The curvature of a Hessian metric
 Internat. J. Math
"... Given a smooth function f on an open subset of a real vector space, one can define the associated “Hessian metric ” using the second derivatives of f, gij: = ∂ 2 f/∂xi∂xj. In this paper, inspired by P.M.H. Wilson’s paper on sectional curvatures of Kähler moduli [31], we concentrate on the case wher ..."
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Cited by 9 (0 self)
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Given a smooth function f on an open subset of a real vector space, one can define the associated “Hessian metric ” using the second derivatives of f, gij: = ∂ 2 f/∂xi∂xj. In this paper, inspired by P.M.H. Wilson’s paper on sectional curvatures of Kähler moduli [31], we concentrate on the case
Results 1  10
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102