Results 21 to 30 of about 128,872 (280)
Variational Problems in Conformal Geometry [PDF]
The Journal of Geometric Analysis, 2020 We study the Euler-Lagrange equation for several natural functionals defined on a conformal class of almost Hermitian metrics, whose expression involves the Lee form $θ$ of the metric. We show that the Gauduchon metrics are the unique extremal metrics of the functional corresponding to the norm of the codifferential of the Lee form.
Daniele Angella +3 more
openaire +3 more sources
Geometry of conformal vector fields
Arab Journal of Mathematical Sciences, 2017 It is well known that the Euclidean space (Rn,〈,〉), the n-sphere Sn(c) of constant curvature c and Euclidean complex space form (Cn,J,〈,〉) are examples of spaces admitting conformal vector fields and therefore conformal vector fields are used in ...
Sharief Deshmukh
doaj +1 more source
Tuning of Reciprocal Plasmonic Metasurface Resonances by Ultra-Thin Conformal Coatings
Optics, 2022 Metamaterials, in the form of perfect absorbers, have recently received attention for sensing and light-harvesting applications. The fabrication of such metamaterials involves several process steps and can often lead to nonidealities, which limit the ...
Micheal McLamb +6 more
doaj +1 more source
A note on the Yamabe problem of Randers metrics [PDF]
AUT Journal of Mathematics and Computing, 2021 The classical Yamabe problem in Riemannian geometry states that every conformal class contains a metric with constant scalar curvature. In Finsler geometry, the C-convexity is needed in general.
Bin Chen, Siwei Liu
doaj +1 more source
Fractional Laplacian in conformal geometry
Advances in Mathematics, 2011 In this note, we study the connection between the fractional Laplacian operator that appeared in the recent work of Caffarelli-Silvestre and a class of conformally covariant operators in conformal geometry.
González Nogueras, María del Mar +1 more
openaire +5 more sources
A Linear-Nonlinear Formulation of Einstein Equations for the Two-Body Problem in General Relativity [PDF]
, 1999 A formulation of Einstein equations is presented that could yield advantages in the study of collisions of binary compact objects during regimes between linear-nonlinear transitions.
E.E. Flanagan +13 more
core +2 more sources
European Physical Journal C: Particles and Fields, 2023 We consider dark energy models obtained from the general conformal transformation of the Kropina metric, representing an $$(\alpha , \beta )$$ ( α , β ) -type Finslerian geometry, constructed as the ratio of the square of a Riemannian metric $$\alpha ...
Rattanasak Hama +2 more
doaj +1 more source
c-theorem of the entanglement entropy
Journal of High Energy Physics, 2018 We holographically investigate the renormalization group flow in a two-dimensional conformal field theory deformed by a relevant operator. If the relevant operator allows another fixed point, the UV conformal field theory smoothly flows to a new IR ...
Chanyong Park, Daeho Ro, Jung Hun Lee
doaj +1 more source
Massless fields in plane wave geometry
, 1997 Conformal isometry algebras of plane wave geometry are studied. Then, based on the requirement of conformal invariance, a definition of masslessness is introduced and gauge invariant equations of motion, subsidiary conditions, and corresponding gauge ...
Metsaev, R. R.
core +2 more sources
Loop groups and noncommutative geometry [PDF]
, 2017 We describe the representation theory of loop groups in terms of K-theory and noncommutative geometry. This is done by constructing suitable spectral triples associated with the level l projective unitary positive-energy representations of any given loop
Bakalov B. +17 more
core +4 more sources