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Complex Functional Maps: A Conformal Link Between Tangent Bundles [PDF]
Computer graphics forum (Print), 2021 In this paper, we introduce complex functional maps, which extend the functional map framework to conformal maps between tangent vector fields on surfaces. A key property of these maps is their orientation awareness.
Nicolas Donati +3 more
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Rigidity and continuous extension for conformal maps of circle domains [PDF]
, 2022 We present sufficient conditions so that a conformal map between planar domains whose boundary components are Jordan curves or points has a continuous or homeomorphic extension to the closures of the domains.
Dimitrios Ntalampekos
semanticscholar +1 more source
Dessins d’enfants, Seiberg-Witten curves and conformal blocks
Journal of High Energy Physics, 2021 We show how to map Grothendieck’s dessins d’enfants to algebraic curves as Seiberg-Witten curves, then use the mirror map and the AGT map to obtain the corresponding 4d N $$ \mathcal{N} $$ = 2 supersymmetric instanton partition functions and 2d Virasoro ...
Jiakang Bao +6 more
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An iterative method to compute conformal mappings and their inverses in the context of water waves over topographies [PDF]
International Journal for Numerical Methods in Fluids, 2021 An iterative numerical method to compute the conformal mapping in the context of propagating water waves over uneven topographies is investigated. The map flattens the fluid domain onto a canonical strip in which computations are performed.
M. Flamarion, R. Ribeiro-Jr
semanticscholar +1 more source
Magnetopause as conformal mapping
Annales Geophysicae, 2022 Abstract. An axi-symmetric two-dimensional magnetopause model is constructed by making use of the conformal mapping in the complex plane. The model is an analytic continuation of the power-law damped (or asymptotically elongated) parabolic shape. The complex-plane expression of the magnetopause opens the door to properly map the magnetopause and ...
Yasuhito Narita +2 more
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A study of horizontally weakly conformal maps and their distributions [PDF]
ریاضی و جامعه, 2023 The aim of this paper is to consider horizontally weakly conformal maps which have been studied in [P. Baird and J. C. Wood, Harmonic morphisms between Riemannian manifolds, London Mathematical Society Monographs.
Mehran Aminian
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Journal of High Energy Physics, 2022 The conformal algebra in 2D (Diff(S 1)⨁Diff(S 1)) is shown to be preserved under a nonlinear map that mixes both chiral (holomorphic) generators T and T ¯ $$ \overline{T} $$ .
David Tempo, Ricardo Troncoso
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Numerical conformal mapping [PDF]
Mathematics of Computation, 1979 A numerical procedure to determine the discrete conformal mapping of an arbitrary simply connected region onto the open unit disk is described. The method is fast and directly provides an estimate of the global error due to the discretization of the mapping.
Sukumar Chakravarthy, Dale Anderson
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Existence and Stability of α−Harmonic Maps
Journal of Mathematics, 2022 In this paper, we first study the α−energy functional, Euler-Lagrange operator, and α-stress-energy tensor. Second, it is shown that the critical points of the α−energy functional are explicitly related to harmonic maps through conformal deformation.
Seyed Mehdi Kazemi Torbaghan +2 more
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From Conic to Cylindrical Map Projections
Geodetski Vestnik, 2023 In books and textbooks on map projections, cylindrical, conic and azimuthal projections are usually considered separately. It is sometimes mentioned that cylindrical and azimuthal projections can be interpreted as limiting cases of conic, but this is ...
Miljenko Lapaine
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