Results 11 to 20 of about 6,532 (287)

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, Keyvan Salehi, Salman Babayi   +2 more
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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, Milan Kilibarda, Dragutin Protić   +2 more
doaj   +1 more source

Mapping chromatin conformation [PDF]

F1000 Biology Reports, 2010
Chromatin conformation capture (3C) and related techniques have become well-established methods to examine which distal DNA sequences are spatially located close to a locus of interest. Hi-C is a new addition to the growing set of 3C-based techniques that has extended the approach to a genome-wide analysis of nuclear chromatin using high-throughput DNA
openaire   +2 more sources

Numerical Conformal Mapping [PDF]

, 2010
Standard Conformal Mappings and Software Conformal Modules of Quadrilaterals Domain Decomposition for Special Quadrilaterals Domain Decomposition for General Quadrilaterals.
Nicolas Papamichael, Nikos Stylianopoulos   +1 more
openaire   +2 more sources

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source