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Convergence in Conformal Field Theory
Convergence and analytic extension are of fundamental importance in the mathematical construction and study of conformal field theory. The author...
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Fusion and Positivity in Chiral Conformal Field Theory
In this article we show that the conformal nets corresponding to WZW models are rational, resolving a long-standing open problem. Specifically, we...
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Conformal field theory for annulus SLE: partition functions and martingale-observables
We implement a version of conformal field theory in a doubly connected domain with numerous conformal types to connect it to the theory of annulus...
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Correlators in Rational Conformal Field Theory
In this chapter we turn the physics task of finding correlation functions into the mathematically precise problem of determining specific elements in...
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Weil–Petersson Teichmüller Theory of Surfaces of Infinite Conformal Type
Over the past two decades the theory of the Weil–Petersson metric has been extended to general Teichmüller spaces of infinite type, including for...
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EXISTENCE OF CONFORMAL RICCI SOLITON AND CHARACTERISTICS OF ALMOST CONFORMAL RICCI SOLITONS ON SASAKIAN MANIFOLD
In this paper, we have established the existence of conformal Ricci soliton as self similar solution of conformal Ricci flow and characterized the...
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Clairaut Conformal Submersions
The aim of this paper is to introduce Clairaut conformal submersions between Riemannian manifolds. First, we find necessary and sufficient conditions...
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Conformal Vector Fields on Lorentzian Manifolds
This chapter introduces some important space-times of general relativity, then describes their kinematics, Einstein’s field equations and energy...
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Computational Conformal Geometric Methods for Vision
Conformal geometry studies the geometric properties of objects invariant under conformal transformation group. It is a powerful theoretic tool to...
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Conformal Envelopes of Novikov–Poisson Algebras
We prove that every Novikov–Poisson algebra over a field of zero characteristic can be embedded into a commutative conformal algebra with a...
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Modified conformal extensions
We present a geometric construction and characterization of 2 n -dimensional split-signature conformal structures endowed with a twistor spinor with...
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Horizontally Conformal Submersions from CR-Submanifolds of Locally Conformal Quaternionic Kaehler Manifolds
In this paper, we study the horizontally conformal submersions of CR-submanifols of locally conformal quaternion Kaehler manifolds. We prove that any...
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An Approach to Assessing the Effectiveness of Radiation Conformal Multi-Element Structures with Chiral Filling
AbstractThe article is devoted to the study of the radiation efficiency of conformal radiating structures with chiral filling. A mathematical model...
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Complex Surfaces and Null Conformal Killing Vector Fields
We study the relation between the existence of null conformal Killing vector fields and the existence of compatible complex and para-hypercomplex...
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Ricci Bi-Conformal Vector Fields on Homogeneous Gödel-Type Spacetimes
In this paper, we consider the homogeneous Gödel-type spacetimes and we completely classify the Ricci bi-conformal vector fields on these spaces....
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Conformal scattering theory for the linearized gravity fields on Schwarzschild spacetime
We provide in this paper a first step to obtain the conformal scattering theory for the linearized gravity fields on the Schwarzschild spacetime by...
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Chen–Ricci inequality for anti-invariant Riemannian submersions from conformal Kenmotsu space form
The aim of this paper is twofold: first, we obtain various curvature inequalities which involve the Ricci and scalar curvatures of horizontal and...