Results 11 to 20 of about 111,827 (288)
CONFORMAL VECTOR FIELDS AND TOTALLY UMBILIC HYPERSURFACES [PDF]
Bulletin of the Korean Mathematical Society, 2002 Let \((M^n,g)\), \(n\geq 2\), be a connected semi-Riemannian hypersurface of a semi-Riemannian space form \((\overline{M}_k^{n+1}(\overline{c}),\overline{g})\) of signature \(k\). Assume that the ambient manifold carries a conformal vector field \(V\) such that the tangential part \((V|M^n)^T\) becomes a conformal vector field on the hypersurface. Then
Kim, Dong-Soo +3 more
openaire +1 more source
Selfdual 4-Manifolds, Projective Surfaces, and the Dunajski-West Construction [PDF]
, 2014 I present a construction of real or complex selfdual conformal 4-manifolds (of signature (2,2) in the real case) from a natural gauge field equation on a real or complex projective surface, the gauge group being the group of diffeomorphisms of a real or ...
Calderbank, David M. J.
core +5 more sources
Conformal Symmetries of the Strumia–Tetradis’ Metric
Physical Sciences Forum, 2023 In a recent paper, a new conformally flat metric was introduced, describing an expanding scalar field in a spherically symmetric geometry. The spacetime can be interpreted as a Schwarzschild-like model with an apparent horizon surrounding the curvature ...
Pantelis S. Apostolopoulos +1 more
doaj +1 more source
Conformal vector fields on statistical manifolds
Revista de la Unión Matemática Argentina, 2022 This paper introduces the notion of conformal vector field on a statistical manifold. A statistical manifold is a triple \((M,g,T)\), where \(g\) is a Riemannian metric tensor on the smooth manifold \(M\), and \(T\) is a covariant tensor of order 3 which is fully symmetric. An equivalent definition can be given replacing \(T\) with an affine connection
Samereh, Leila, Peyghan, Esmaeil
openaire +1 more source
Axiomatic Conformal Field Theory [PDF]
, 1998 A new rigorous approach to conformal field theory is presented. The basic objects are families of complex-valued amplitudes, which define a meromorphic conformal field theory (or chiral algebra) and which lead naturally to the definition of topological ...
Gaberdiel, Matthias R, Goddard, Peter
core +3 more sources
Local dynamics of conformal vector fields [PDF]
Geometriae Dedicata, 2011 The aim of the paper is to understand the local forms of conformal vector fields in the neighborhood of a singularity. We begin a general study in this direction, for any pseudo-Riemannian type, and give a complete answer in the Riemannian case. This is done using geometric methods, and studying local dynamics of sequences of conformal transformations.
openaire +3 more sources
Conformal and Disformal Structure of 3D Circularly Symmetric Static Metric in f(R) Theory of Gravity
Mehran University Research Journal of Engineering and Technology, 2020 conformal vector fields are treated as generalization of homothetic vector fields while disformal vector fields are defined through disformal transformations which are generalization of conformal transformations, therefore it is important to study ...
Muhammad Ramzan +2 more
doaj +1 more source
Partition functions of higher derivative conformal fields on conformally related spaces
Journal of High Energy Physics, 2021 The character integral representation of one loop partition functions is useful to establish the relation between partition functions of conformal fields on Weyl equivalent spaces.
Jyotirmoy Mukherjee
doaj +1 more source
Global solutions in gravity [PDF]
, 1999 The method of conformal blocks for construction of global solutions in gravity for a two-dimensional metric having one Killing vector field is described.Comment: 4 pages, 2 figures, minor ...
Carter +10 more
core +4 more sources
Conformal vector fields on lcK manifolds
Mathematical Research Letters, 2023 We show that any conformal vector field on a compact lcK manifold is Killing with respect to the Gauduchon metric. Furthermore, we prove that any conformal vector field on a compact lcK manifold whose Kähler cover is neither flat, nor hyperkähler, is holomorphic.
Moroianu, Andrei, Pilca, Mihaela
openaire +2 more sources