Results 31 to 40 of about 69,077 (284)
On uniqueness of solutions of $n$-th order differential equations in conformal geometry [PDF]
Mathematical Research Letters, 1997 Consider some compact metric manifold \(M\) endowed with a metric \(g\) and an operator \(A\) on \(C^\infty(M)\) which is calculated starting from \(g\). \(A\) is said to be conformally covariant if under the conformal change \(g_\omega= \exp[2\omega]g\) the pair of corresponding operators \(A_\omega\) and \(A\) are related by \(A_\omega(\varphi)= \exp[
Chang, Sun-Yung A., Yang, Paul C.
openaire +2 more sources
Advances in Mathematics, 2023 Let $g_0$ be a smooth Riemannian metric on a closed manifold $M^n$ of dimension $n\geq 3$. We study the existence of a smooth metric $g$ conformal to $g_0$ whose Schouten tensor $A_g$ satisfies the differential inclusion $λ(g^{-1}A_g)\inΓ$ on $M^n$, where $Γ\subset\mathbb{R}^n$ is a cone satisfying standard assumptions.
Duncan, JAJ, Nguyen, L
openaire +3 more sources
Weyl conformal geometry vs Weyl anomaly
Journal of High Energy Physics, 2023 Weyl conformal geometry is a gauge theory of scale invariance that naturally brings together the Standard Model (SM) and Einstein gravity. The SM embedding in this geometry is possible without new degrees of freedom beyond SM and Weyl geometry, while ...
D. M. Ghilencea
doaj +1 more source
Monogenic Functions in Conformal Geometry [PDF]
, 2007 Monogenic functions are basic to Clifford analysis. On Euclidean space they are defined as smooth functions with values in the corresponding Clifford algebra satisfying a certain system of first order differential equations, usually referred to as the ...
Eastwood, Michael, Ryan, John
core +4 more sources
On volume subregion complexity in Vaidya spacetime
Journal of High Energy Physics, 2019 We study holographic subregion volume complexity for a line segment in the AdS3 Vaidya geometry. On the field theory side, this gravity background corresponds to a sudden quench which leads to the thermalization of the strongly-coupled dual conformal ...
Roberto Auzzi +4 more
doaj +1 more source
Causal geometries and third-order ordinary differential equations [PDF]
, 2009 We discuss contact invariant structures on the space of solutions of a third-order ordinary differential equation. Associated to any third-order differential equation modulo contact transformations, Chern introduced a degenerate conformal Lorentzian ...
Holland, Jonathan, Sparling, George
core
Cell wall target fragment discovery using a low‐cost, minimal fragment library
FEBS Letters, EarlyView.LoCoFrag100 is a fragment library made up of 100 different compounds. Similarity between the fragments is minimized and 10 different fragments are mixed into a single cocktail, which is soaked to protein crystals. These crystals are analysed by X‐ray crystallography, revealing the binding modes of the bound fragment ligands.
Kaizhou Yan +5 more
wiley +1 more source
Quasi-conformal curvature tensor on sequential doubly warped product manifolds with applications
European Physical Journal C: Particles and FieldsThis paper introduces a comprehensive geometric framework that bridges two important but previously disconnected areas of Riemannian geometry: the theory of sequential doubly warped product (SDWP) manifolds and the theory of quasi-conformal curvature ...
Hatem E. Semary +3 more
doaj +1 more source
Structural biology of ferritin nanocages
FEBS Letters, EarlyView.Ferritin is a conserved iron‐storage protein that sequesters iron as a ferric mineral core within a nanocage, protecting cells from oxidative damage and maintaining iron homeostasis. This review discusses ferritin biology, structure, and function, and highlights recent cryo‐EM studies revealing mechanisms of ferritinophagy, cellular iron uptake, and ...
Eloise Mastrangelo, Flavio Di Pisa
wiley +1 more source
Harmonic maps in unfashionable geometries
, 2001 We describe some general constructions on a real smooth projective 4-quadric which provide analogues of the Willmore functional and conformal Gauss map in both Lie sphere and projective differential geometry.
Burstall, F. E., Hertrich-Jeromin, U.
core +1 more source