Results 21 to 30 of about 4,320,738 (271)

Some Remarks Concerning Quasiconformal Extensions in Several Complex Variables

Journal of Inequalities and Applications, 2008
Let be the unit ball in with respect to the Euclidean norm. In this paper, we obtain a sufficient condition for a normalized quasiregular mapping to be extended to a quasiconformal homeomorphism of onto itself. In the last section we consider the
Kohr Gabriela, Curt Paula
doaj   +2 more sources

Complex Variable Approach for Thermoelastic Boundary Value Problem Using Rational Mapping Techniques

Mathematics
This article presents a novel approach to looking at steady-state thermoelastic boundary value problems in isotropic elastic plates with curvilinear holes using a complex variable approach and rational conformal mappings.
Mai Taha, Mohamed A. Abdou, Amnah E. Shammaky, Abeer A. Al-Dohiman, Eslam M. Youssef   +4 more
doaj   +1 more source

Prescribing the Preschwarzian in several complex variables

, 2010
We solve the several complex variables preSchwarzian operator equation $[Df(z)]^{-1}D^2f(z)=A(z)$, $z\in \C^n$, where $A(z)$ is a bilinear operator and $f$ is a $\C^n$ valued locally biholomorphic function on a domain in $\C^n$.
Rodrigo, Hernández
core   +1 more source

Complex Riemannian Spacetime: Removal of Black Hole Singularities and Black Hole Paradoxes

Axioms
An approach is presented to resolve key paradoxes in black hole physics through the application of complex Riemannian spacetime. We extend the Schwarzschild metric into the complex domain, employing contour integration techniques to remove singularities ...
John W. Moffat
doaj   +1 more source

Pluricomplex Green's functions and Fano manifolds [PDF]

Épijournal de Géométrie Algébrique, 2019
We show that if a Fano manifold does not admit Kahler-Einstein metrics then the Kahler potentials along the continuity method subconverge to a function with analytic singularities along a subvariety which solves the homogeneous complex Monge-Ampere ...
Nicholas McCleerey, Valentino Tosatti
doaj   +1 more source

Exploring Visualization Methods for Complex Variables [PDF]

, 2010
Applications of complex variables and related manifolds appear throughout mathematics and science. Here we review a family of basic methods for applying visualization concepts to the study of complex variables and the properties of specific complex ...
Hanson, Andrew J., Sha, Ji-Ping
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Properties of composite positive continuous functions in $\mathbb{C}^n$

Karpatsʹkì Matematičnì Publìkacìï, 2015
The properties of positive continuous functions with $Q^n_{\mathbf{b}}$ and $Q$ are investigated. We prove that some composite functions with $Q$ belong to class $Q^n_{\mathbf{b}}.$ A relation between functions with these classes are established.
A.I. Bandura
doaj   +1 more source

Complex Ashtekar variables and reality conditions for Holst's action

, 2011
From the Holst action in terms of complex valued Ashtekar variables additional reality conditions mimicking the linear simplicity constraints of spin foam gravity are found.
A. Ashtekar, A. Ashtekar, A. Ashtekar, A. Corichi, C. Rovelli, C. Rovelli, C. Rovelli, D. vong Duc, D.J. Rezende, G.W. Gibbons, I.M. Gelfand, J. Engle, J. Engle, J.W. York, K. Bleuler, M. Dupuis, R. Hojman, R. Pereira, R.M. Wald, S. Alexandrov, S. Alexandrov, S. Alexandrov, S. Alexandrov, S. Holst, S.N. Gupta, T. Thiemann, T. Thiemann, Wolfgang M. Wieland, Y. Ding, Y. Ding, Y.N. Obukhov   +30 more
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Complex Riemannian Spacetime and Singularity-Free Black Holes and Cosmology

Axioms
An approach is presented to address singularities in general relativity using a complex Riemannian spacetime extension. We demonstrate how this method can be applied to both black hole and cosmological singularities, specifically focusing on the ...
John W. Moffat
doaj   +1 more source

On the iron Kalpha complex in magnetic cataclysmic variables

, 2004
We present a compilation of spectra of the iron Kalpha region in magnetic cataclysmic variables, using data from the Chandra-HETG. The H-like, He-like and fluorescent components are clearly resolved, and there are hints of the structure within each ...
Aizu, Bailey, Bautista, Coel Hellier, Cropper, Dubau, Frank, Fujimoto, Haberl, Hellier, Hellier, Hellier, Ishida, Koji Mukai, Mauche, Mauche, Mukai, Norton, Oelgoetz, Pike, Terada   +20 more
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