Results 31 to 40 of about 2,838 (70)

Octonionic Magical Supergravity, Niemeier Lattices, and Exceptional & Hilbert Modular Forms

open access: yesFortschritte der Physik, Volume 72, Issue 2, February 2024.
Abstract The quantum degeneracies of Bogomolny‐Prasad‐Sommerfield (BPS) black holes of octonionic magical supergravity in five dimensions are studied. Quantum degeneracy is defined purely number theoretically as the number of distinct states in charge space with a given set of invariant labels.
Murat Günaydin, Abhiram Kidambi
wiley   +1 more source

Quasiconformal embeddings of Y-pieces

open access: yes, 2014
In this paper we construct quasiconformal embeddings from Y-pieces that contain a short boundary geodesic into degenerate ones. These results are used in a companion paper to study the Jacobian tori of Riemann surfaces that contain small simple closed ...
Buser, Peter   +3 more
core   +1 more source

The Loewner–Kufarev energy and foliations by Weil–Petersson quasicircles

open access: yesProceedings of the London Mathematical Society, Volume 128, Issue 2, February 2024.
Abstract We study foliations by chord–arc Jordan curves of the twice punctured Riemann sphere C∖{0}$\mathbb {C} \setminus \lbrace 0\rbrace$ using the Loewner–Kufarev equation. We associate to such a foliation a function on the plane that describes the “local winding” along each leaf. Our main theorem is that this function has finite Dirichlet energy if
Fredrik Viklund, Yilin Wang
wiley   +1 more source

Mappings of generalized finite distortion and continuity

open access: yesJournal of the London Mathematical Society, Volume 109, Issue 1, January 2024.
Abstract We study continuity properties of Sobolev mappings f∈Wloc1,n(Ω,Rn)$f \in W_{\mathrm{loc}}^{1,n} (\Omega , \mathbb {R}^n)$, n⩾2$n \geqslant 2$, that satisfy the following generalized finite distortion inequality Df(x)n⩽K(x)Jf(x)+Σ(x)$$\begin{equation*} \hspace*{4.6pc}{\left| Df(x) \right|}^n \leqslant K(x) J_f(x) + \Sigma (x) \end{equation ...
Anna Doležalová   +2 more
wiley   +1 more source

The Theory of Quasiconformal Mappings in Higher Dimensions, I [PDF]

open access: yes, 2013
We present a survey of the many and various elements of the modern higher-dimensional theory of quasiconformal mappings and their wide and varied application. It is unified (and limited) by the theme of the author's interests.
Gaven J. Martin, Gaven J. Martin
core  

On proper branched coverings and a question of Vuorinen. [PDF]

open access: yesBull Lond Math Soc, 2022
Kauranen A, Luisto R, Tengvall V.
europepmc   +1 more source

Lipschitz spaces and harmonic mappings

open access: yes, 2009
In \cite{kamz} the author proved that every quasiconformal harmonic mapping between two Jordan domains with $C^{1,\alpha ...
Kalaj, David
core   +1 more source

Computing Quasiconformal Maps on Riemann surfaces using Discrete Curvature Flow

open access: yes, 2010
Surface mapping plays an important role in geometric processing. They induce both area and angular distortions. If the angular distortion is bounded, the mapping is called a {\it quasi-conformal} map.
Chan, J. S. Liu T. F.   +5 more
core  

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