Results 1 to 10 of about 128,753 (161)
Monogenic Functions in Conformal Geometry [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2007 Monogenic functions are basic to Clifford analysis. On Euclidean space they are defined as smooth functions with values in the corresponding Clifford algebra satisfying a certain system of first order differential equations, usually referred to as the ...
Michael Eastwood, John Ryan
doaj +9 more sources
Some Progress in Conformal Geometry [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2007 This is a survey paper of our current research on the theory of partial differential equations in conformal geometry. Our intention is to describe some of our current works in a rather brief and expository fashion.
Sun-Yung A. Chang, Jie Qing, Paul Yang
doaj +10 more sources
Unfolding conformal geometry [PDF]
Journal of High Energy Physics, 2021 Conformal geometry is studied using the unfolded formulation à la Vasiliev. Analyzing the first-order consistency of the unfolded equations, we identify the content of zero-forms as the spin-two off-shell Fradkin-Tseytlin module of so 2 d $$ \mathfrak{so}
Euihun Joung, Min-gi Kim, Yujin Kim
doaj +4 more sources
A Tolman-like Compact Model with Conformal Geometry [PDF]
Entropy, 2021 In this investigation, we study a model of a charged anisotropic compact star by assuming a relationship between the metric functions arising from a conformal symmetry.
Didier Kileba Matondo, Sunil D. Maharaj
doaj +2 more sources
Stanilov-Tsankov-Videv Theory [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We survey some recent results concerning Stanilov-Tsankov-Videv theory, conformal Osserman geometry, and Walker geometry which relate algebraic properties of the curvature operator to the underlying geometry of the manifold.
Miguel Brozos-Vázquez +8 more
doaj +8 more sources
Jet isomorphism for conformal geometry [PDF]
, 2007 Jet isomorphism theorems for conformal geometry are discussed. A new proof of the jet isomorphism theorem for odd-dimensional conformal geometry is outlined, using an ambient realization of the conformal deformation complex.
Graham, C. Robin
core +4 more sources
Scattering Matrix in Conformal Geometry [PDF]
Inventiones Mathematicae, 2001 This paper describes the connection between scattering matrices on conformally compact asymptotically Einstein manifolds and conformally invariant objects on their boundaries at infinity.
Graham, C. Robin, Zworski, Maciej
core +5 more sources
Q-Curvature, Spectral Invariants, and Representation Theory [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We give an introductory account of functional determinants of elliptic operators on manifolds and Polyakov-type formulas for their infinitesimal and finite conformal variations.
Thomas P. Branson
doaj +7 more sources
On some conformally einstein manifolds of dimension four [PDF]
ریاضی و جامعه, 2022 We study an important family of four-dimensional pseudo-Riemannian manifolds, i.e. generalized symmetric spaces, in terms of conformal geometry. Generalized symmetric spaces were introduced by geometers as an extension of symmetric spaces, and a detailed
Amirhesam Zaeim +2 more
doaj +1 more source
Nuclear Physics B, 2023 Weyl geometry is a natural extension of conformal geometry with Weyl covariance mediated by a Weyl connection. We generalize the Fefferman-Graham (FG) ambient construction for conformal manifolds to a corresponding construction for Weyl manifolds.
Weizhen Jia +2 more
doaj +1 more source