Results 31 to 40 of about 141,207 (269)

Conformally Invariant Powers of the Laplacian, Q -Curvature, and Tractor Calculus [PDF]

open access: yesCommunications in Mathematical Physics, 2003
We describe an elementary algorithm for expressing, as explicit formulae in tractor calculus, the conformally invariant GJMS operators due to C.R. Graham et alia. These differential operators have leading part a power of the Laplacian. Conformal tractor calculus is the natural induced bundle calculus associated to the conformal Cartan connection ...
Gover, A. Rod, Peterson, Lawrence J.
openaire   +3 more sources

Conformal Geodesics in Cartan Calculus

open access: yes, 2021
Die vorliegende Arbeit behandelt konforme Geodäten und ihre Beschreibung durch Cartangeometrie. Wir besprechen die Definition der Cartangeometrie und erklären, in welchem Sinne konforme Strukturen in 1:1-Beziehung mit Cartangeometrien vom Typ (G, P) sind, wobei G = O(p+1, q+1) and P = Stab(R^+·l−) in O(p+1, q+1).
openaire   +2 more sources

A calculus for conformal hypersurfaces and new higher Willmore energy functionals [PDF]

open access: yesAdvances in Geometry, 2020
Abstract The invariant theory for conformal hypersurfaces is studied by treating these as the conformal infinity of a conformally compact manifold. Recently it has been shown how, given a conformal hypersurface embedding, a distinguished ambient metric is found (within its conformal class) by solving a singular version of the Yamabe ...
Gover, A. Rod, Waldron, Andrew
openaire   +4 more sources

A Truly Conformable Calculus on Time Scales

open access: yes, 2017
We introduce the definition of conformable derivative on time scales and develop its calculus. Fundamental properties of the conformable derivative and integral on time scales are proved. Linear conformable differential equations with constant coefficients are investigated, as well as hyperbolic and trigonometric functions.
Bayour, Benaoumeur   +2 more
openaire   +3 more sources

Calculus on manifolds of conformal maps and CFT [PDF]

open access: yesJournal of Physics A: Mathematical and Theoretical, 2012
v1: 51 pages, 5 figures. v2: 56 pages, corrections and clarifications. v3: 53 pages, one substantial addition (groupoid structure), discussion further clarified and simplified. v4: 59 pages, introduction improved, with a discussion on the relations with previous works.
openaire   +3 more sources

A new definition of conformable fractional derivative on arbitrary time scales

open access: yesAdvances in Difference Equations, 2019
In this paper, a new kind of conformable fractional derivative on arbitrary time scales is introduced. The basic conformable derivative rules are proved.
Mohamad Rafi Segi Rahmat
doaj   +1 more source

Conformable Euler's theorem on homogeneous functions [PDF]

open access: yes, 2019
Recently, the conformable derivative and its properties have been introduced. In this paper, we propose and prove some new results on the conformable multivariable fractional calculus.
Martínez González, Francisco Martín   +2 more
core   +1 more source

Chaos and Symbol Complexity in a Conformable Fractional-Order Memcapacitor System

open access: yesComplexity, 2018
Application of conformable fractional calculus in nonlinear dynamics is a new topic, and it has received increasing interests in recent years. In this paper, numerical solution of a conformable fractional nonlinear system is obtained based on the ...
Shaobo He, Santo Banerjee, Bo Yan
doaj   +1 more source

Hardy-Leindler-Type Inequalities via Conformable Delta Fractional Calculus

open access: yesJournal of Function Spaces, 2022
In this article, some fractional Hardy-Leindler-type inequalities will be illustrated by utilizing the chain law, Hölder’s inequality, and integration by parts on fractional time scales.
H. M. Rezk   +6 more
doaj   +1 more source

Targeting the EpCAM‐AXL axis to overcome drug resistance in lung cancer

open access: yesMolecular Oncology, EarlyView.
Lung cancer cells often evade therapy by hijacking signaling pathways. We reveal that cleaved EpCAM (sEpCAM) stabilizes the oncogenic protein AXL, driving NF‐κB and STAT3‐mediated chemoresistance. This EpCAM‐AXL axis identifies a high‐risk patient subset with poor prognosis.
Alexa Guerrero‐Alba   +5 more
wiley   +1 more source

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