Results 11 to 20 of about 6,360 (266)
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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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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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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Harmonicity of horizontally conformal maps and spectrum of the Laplacian
International Journal of Mathematics and Mathematical Sciences, 2002 We discuss the harmonicity of horizontally conformal maps and their relations with the spectrum of the Laplacian. We prove that if Φ:M→N is a horizontally conformal map such that the tension field is divergence free, then Φ is harmonic. Furthermore, if N
Gabjin Yun
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Einstein and Jordan frame correspondence in quantum cosmology: expansion-collapse duality
European Physical Journal C: Particles and Fields, 2023 The conformal correspondence between FLRW universes in the Einstein and Jordan frames allows for an expansion-collapse duality – an always expanding Einstein frame universe can have a dual Jordan frame description that is contracting forever.
Dipayan Mukherjee, Harkirat Singh Sahota
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Confluent conformal blocks of the second kind
Journal of High Energy Physics, 2020 We construct confluent conformal blocks of the second kind of the Virasoro algebra. We also construct the Stokes transformations which map such blocks in one Stokes sector to another. In the BPZ limit, we verify explicitly that the constructed blocks and
Jonatan Lenells, Julien Roussillon
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