Results 1 to 10 of about 9,222 (159)
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, Yujin Kim, Joung Euihun
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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
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Fractional Laplacian in conformal geometry
Advances in Mathematics, 2011 In this note, we study the connection between the fractional Laplacian operator that appeared in the recent work of Caffarelli-Silvestre and a class of conformally covariant operators in conformal geometry.
Maria Del Mar Gonzalez
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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
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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
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Braided geometry of the conformal algebra [PDF]
Journal of Mathematical Physics, 1996 We show that the action of the special conformal transformations of the usual (undeformed) conformal group is the q→1 scaling limit of the braided adjoint action or R-commutator of q-Minkowski space on itself. We also describe the q-deformed conformal algebra in R-matrix form and its quasi-* structure.
Shahn Majid, Majid Shahn
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Conformal Geometry and the Composite Membrane Problem
Analysis and Geometry in Metric Spaces, 2013 Abstract We show that a certain eigenvalue minimization problem in two dimensions for the Laplace operator in conformal classes is equivalent to the composite membrane problem. We again establish such a link in higher dimensions for eigenvalue problems stemming from the critical GJMS operators. New free boundary problems of unstable type
Chanillo Sagun
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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
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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
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Geometry of conformal η-Ricci solitons and conformal η-Ricci almost solitons on paracontact geometry
Open Mathematics, 2022 We prove that if an η\eta -Einstein para-Kenmotsu manifold admits a conformal η\eta -Ricci soliton then it is Einstein. Next, we proved that a para-Kenmotsu metric as a conformal η\eta -Ricci soliton is Einstein if its potential vector field VV is ...
Li Yanlin +3 more
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