Results 81 to 90 of about 4,250 (145)

On Local Congruence of Immersions in Homogeneous or Nonhomogeneous Spaces

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2013
We show how to find a complete set of necessary and sufficient conditions that solve the fixed-parameter local congruence problem of immersions in G-spaces, whether homogeneous or not, provided that a certain kth order jet bundle over the G-space admits ...
Jeongoo Cheh
doaj   +1 more source

Sudden breakdown of effective field theory near cool Kerr-Newman black holes

open access: yesJournal of High Energy Physics
It was recently shown that (near-)extremal Kerr black holes are sensitive probes of small higher-derivative corrections to general relativity. In particular, these corrections produce diverging tidal forces on the horizon in the extremal limit.
Gary T. Horowitz   +3 more
doaj   +1 more source

Schwarzian derivatives of convex mappings

open access: yesAnnales Academiae Scientiarum Fennicae Mathematica, 2011
Let \(D\) be the unit disc. In this remarkably elegant paper the authors prove that \(\| Sf\|\leq 2\) for any convex domain \(G= f(D)\) (\(\| Sf\|\) is the Schwarzian norm of \(f\)). Moreover, if \(\| Sf\|= 2\), no convex function \(f\) maps \(D\) onto a quasidisk. The authors use the fact that \(Sf= {2\varphi'\over (1-\varphi)^2}\) for \(|\varphi|\leq
Chuaqui, Martin   +2 more
openaire   +6 more sources

Lagrange schwarzian derivative and symplectic Sturm theory [PDF]

open access: yesAnnales de la Faculté des sciences de Toulouse : Mathématiques, 1993
The scalar Schwarzian derivative \(S\{f\}=f'''/f'-(3/2)(f''/f')^ 2\) of \(C^ 3\)-function \(f\), \(f'\neq 0\) is very important for example in the theory of linear differential equations [see e.g., \textit{F. Neuman}, Global properties of linear ordinary differential equations, Kluwer Academic Publishers (1991)]. The main property of this derivative is
openaire   +1 more source

Schwarzian Derivative Revisited

open access: yes, 2006
The Boolean-algebraic structure of the so-called Schwarzian derivative is investigated. A sufficient condition for a function of several variables to behave chaotically, which concerns its associated Schwarzian derivative, is also given.
Çağlar, Mert   +2 more
openaire   +1 more source

Higher Schwarzian operators and combinatorics of the Schwarzian derivative

open access: yesMathematische Annalen, 1996
A family of Möbius invariant nonlinear differential operators (higher Schwarzian operators) is constructed in the context of the best Möbius approximations of analytic functions in one complex variable. Viewing the Schwarzian equation purely algebraically, we obtain a sequence of polynomials (Schwarzian polynomials) with positive integral coefficients ...
openaire   +2 more sources

On the Families of Hyperbolic Derivatives with the Quasi-L ̈owner Dynamics of Pre-Schwarzians [PDF]

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки, 2016
The dynamics of the critical point set for the hyperbolic derivatives of the family of holomorphic functions in the unit disk with pre-Schwarzians satisfying the equation of the quasi-L wner type is studied.
A.V. Kazantsev
doaj  

Globally defined Carroll symmetry of gravitational waves

open access: yesNuclear Physics B
The local Carroll symmetry of a gravitational wave found in Baldwin-Jeffery-Rosen coordinates is extended to a globally defined one by switching to Brinkmann coordinates.
M. Elbistan, P.M. Zhang, P.A. Horvathy
doaj   +1 more source

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