Results 11 to 20 of about 92,598 (288)
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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Conformal Mapping with as Uniform as Possible Conformal Factor [PDF]
SIAM Journal on Imaging Sciences, 2013 According to the uniformization theorem, any surface can be conformally mapped into a domain of a constant Gaussian curvature. The conformal factor indicates the local scaling introduced by such a mapping. This process could be used to compute geometric quantities in a simplified flat domain with zero Gaussian curvature. For example, the computation of
Aflalo, Yonathan +2 more
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Some results and examples of the biharmonic maps with potential
Arab Journal of Mathematical Sciences, 2018 In this paper, we will study the class of biharmonic maps with potential, in the particular case represented by conformal maps between equidimensional manifolds. Some examples are constructed in particular cases (Euclidean space and sphere).
Abdelkader Zagane, Seddik Ouakkas
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The optimal conformal projection for pan-European mapping [PDF]
Geodetski Vestnik, 2020 There is an increasing need for pan-European spatial datasets, mainly to support the common European Union policies. This has inevitably raised demands for adopting pan-European cartographic projections to visualize the spatial data.
Ivan Nestorov +2 more
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Conformal Mappings in Relativistic Astrophysics [PDF]
Journal of Applied Mathematics, 2013 We describe the use of conformal mappings as a mathematical mechanism to obtain exact solutions of the Einstein field equations in general relativity. The behaviour of the spacetime geometry quantities is given under a conformal transformation, and the Einstein field equations are exhibited for a perfect fluid distribution matter configuration.
S. Hansraj +2 more
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A note on surfaces with prescribed oriented Euclidean Gauss map
International Journal of Mathematics and Mathematical Sciences, 2005 We present another proof of a theorem due to Hoffman and Osserman in Euclidean space concerning the determination of a conformal immersion by its Gauss map.
Ricardo Sa Earp, Eric Toubiana
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Conformal Maps, Biharmonic Maps, and the Warped Product
Mathematics, 2016 In this paper we study some properties of conformal maps between equidimensional manifolds, we construct new example of non-harmonic biharmonic maps and we characterize the biharmonicity of some maps on the warped product manifolds.
Seddik Ouakkas, Djelloul Djebbouri
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Debye Potentials for Maxwell and Dirac Fields from a Generalisation of the Killing-Yano Equation [PDF]
, 1996 By using conformal Killing-Yano tensors, and their generalisations, we obtain scalar potentials for both the source-free Maxwell and massless Dirac equations.
Goldberg J. +4 more
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Conformal mapping for multiple terminals [PDF]
Scientific Reports, 2016 AbstractConformal mapping is an important mathematical tool that can be used to solve various physical and engineering problems in many fields, including electrostatics, fluid mechanics, classical mechanics, and transformation optics. It is an accurate and convenient way to solve problems involving two terminals.
Weimin Wang +3 more
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