Results 71 to 80 of about 431,181 (185)
On $K$-contact Einstein manifolds
Novi Sad Journal of Mathematics, 2016 In this paper, we investigate K-contact Einstein manifolds satisfying the conditions RC = Q(S,C), where C is the conformal curvature tensor and R the Riemannian curvature tensor. Next we consider K-contact Einstein manifolds satisfying the curvature condition C.S = 0, where S is the Ricci tensor.
De, U. C., Mandal, Krishanu
openaire +2 more sources
EINSTEIN MANIFOLDS AS YANG–MILLS INSTANTONS [PDF]
Modern Physics Letters A, 2013 It is well known that Einstein gravity can be formulated as a gauge theory of Lorentz group where spin connections play a role of gauge fields and Riemann curvature tensors correspond to their field strengths. One can then pose an interesting question: What is the Einstein equation from the gauge theory point of view? Or equivalently, what is the gauge
Oh, John J., Yang, Hyun Seok
openaire +2 more sources
Construction of an A-manifold on a principal torus bundle
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2013 We construct a new example of an A-manifold, i.e. a Riemannian manifold with cyclic-parallel Ricci tensor. This condition can be viewed as a generalization of the Einstein condition.
Grzegorz Zborowski
doaj
Topology and its Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Compact homogeneous Einstein 6-manifolds
Differential Geometry and its Applications, 2003 The goal of the authors is to give a classification of all compact simply connected homogeneous Einstein 6-dimensional manifolds \((M= G/H,g)\), that is to classify all invariant Einstein metrics \(g\) on 6-dimensional homogeneous simply connected spaces of a compact Lie group \(G\).
Nikonorov, Yu.G., Rodionov, E.D.
openaire +2 more sources
Geometry Of Generalized Einstein Manifolds
Comptes Rendus. Mathématique, 2004 A formula linking the horizontal Laplacian Δ¯φ of a function φ on the fibre bundle W of unitary tangent vectors to a Finslerian compact manifold without boundary (M,g), to the square of a symmetric 2-tensor and Finslerian curvature. From it an estimate, under a certain condition, is obtained for the function λ:Δ¯φ=λφ.
openaire +2 more sources
The Impact of Quasi-Conformal Curvature Tensor on Warped Product Manifolds
AxiomsThis work investigates the effects on the factor manifolds of a singly warped product manifold resulting from the presence of a quasi-conformally flat, quasi-conformally symmetric, or divergence-free quasi-conformal curvature tensor.
Bang-Yen Chen +4 more
doaj +1 more source
Four-Manifolds without Einstein Metrics [PDF]
Mathematical Research Letters, 1996 A smooth Riemannian metric \(g\) is said to be Einstein if its Ricci curvature \(r\) is a constant multiple of the metric, i.e. \(r=\lambda g\). It is known that not every compact oriented 4-manifold \(M\) admits such metrics. A necessary condition for the existence of an Einstein metric on \(M\) is that the Hitchin-Thorpe inequality \(2\chi(M)\geq 3 ...
openaire +2 more sources
7D supersymmetric Yang-Mills on curved manifolds
Journal of High Energy Physics, 2017 We study 7D maximally supersymmetric Yang-Mills theory on curved manifolds that admit Killing spinors. If the manifold admits at least two Killing spinors (Sasaki-Einstein manifolds) we are able to rewrite the supersymmetric theory in terms of a ...
Konstantina Polydorou +2 more
doaj +1 more source
On Four Dimensional Einstein Manifolds
Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1987 The paper contains an argument leading to a classification of Einstein four-manifolds with a 3-dimensional Abelian group of isometries, first established by Kasner in 1923.
openaire +4 more sources