Results 21 to 30 of about 2,884 (298)
Conformal parametrizations defined by polynomials [PDF]
, 2023 The current paper discusses some new results about conformal polynomial surface parametrizations. A new theorem is proved: Given a conformal polynomial surface parametrization of any degree it must be harmonic on each component. As a first geometrical
Pérez Fernández, David +3 more
core +1 more source
Symplectic Applicability of Lagrangian Surfaces [PDF]
, 2009 We develop an approach to affine symplectic invariant geometry of Lagrangian surfaces by the method of moving frames. The fundamental invariants of elliptic Lagrangian immersions in affine symplectic four-space are derived together with their ...
Lorenzo Nicolodi +6 more
core +1 more source
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
Conformal differential invariants [PDF]
, 2017 We compute the Hilbert polynomial and the Poincar´e function counting the number of fixed jet-order differential invariants of conformal metric structures modulo local diffeomorphisms, and we describe the field of rational differential invariants ...
Kruglikov, Boris
core +1 more source
Computational Conformal Geometry: A Review
, 2022 Conformal geometry is considered as a fundamental topic in pure mathematics including complex analysis, algebraic geometry, Riemann surface theory, differential geometry and algebraic topology.
Sabia Akter Bhuiyan +1 more
core +1 more source
Conformal Flattening for Deformed Information Geometries on the Probability Simplex †
Entropy, 2018 Recent progress of theories and applications regarding statistical models with generalized exponential functions in statistical science is giving an impact on the movement to deform the standard structure of information geometry.
Atsumi Ohara
doaj +1 more source
Modular orbits at higher genus
Journal of High Energy Physics, 2020 We extend the modular orbits method of constructing a two-dimensional orbifold conformal field theory to higher genus Riemann surfaces. We find that partition functions on surfaces of arbitrary genus can be constructed by a straightforward generalization
Daniel Robbins, Thomas Vandermeulen
doaj +1 more source
Differential invariants of self-dual conformal structures [PDF]
, 2016 We compute the quotient of the self-duality equation for conformal metrics by the action of the diffeomorphism group. We also determine Hilbert polynomial, counting the number of independent scalar differential invariants depending on the jet-order, and ...
Schneider, Eivind, Kruglikov, Boris
core +1 more source
Conformal field theory complexity from Euler-Arnold equations
Journal of High Energy Physics, 2020 Defining complexity in quantum field theory is a difficult task, and the main challenge concerns going beyond free models and associated Gaussian states and operations.
Mario Flory, Michal P. Heller
doaj +1 more source
Dessins d’enfants, Seiberg-Witten curves and conformal blocks
Journal of High Energy Physics, 2021 We show how to map Grothendieck’s dessins d’enfants to algebraic curves as Seiberg-Witten curves, then use the mirror map and the AGT map to obtain the corresponding 4d N $$ \mathcal{N} $$ = 2 supersymmetric instanton partition functions and 2d Virasoro ...
Jiakang Bao +6 more
doaj +1 more source