Relevant bibliographies by topics / Conformally parametrized surfaces

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  1. Journal articles
  2. Dissertations / Theses

Academic literature on the topic 'Conformally parametrized surfaces'

Author: Grafiati
Published: 4 June 2021
Last updated: 14 February 2022

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Journal articles on the topic "Conformally parametrized surfaces"

1

Bertrand, Sébastien. "Supersymmetric versions and integrability of conformally parametrized surfaces." Journal of Physics: Conference Series 670 (January 25, 2016): 012009. http://dx.doi.org/10.1088/1742-6596/670/1/012009.

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2

Bertrand, S., A. M. Grundland, and A. J. Hariton. "Supersymmetric versions of the equations of conformally parametrized surfaces." Journal of Physics A: Mathematical and Theoretical 48, no. 17 (2015): 175208. http://dx.doi.org/10.1088/1751-8113/48/17/175208.

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3

GRUNDLAND, A. M., та İ. YURDUŞEN. "SURFACES OBTAINED FROM ℂPN-1 SIGMA MODELS". International Journal of Modern Physics A 23, № 32 (2008): 5137–57. http://dx.doi.org/10.1142/s0217751x08042699.

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In this paper, the Weierstrass technique for harmonic maps S2 → ℂPN-1 is employed in order to obtain surfaces immersed in multidimensional Euclidean spaces. It is shown that if the ℂPN-1 model equations are defined on the sphere S2 and the associated action functional of this model is finite, then the generalized Weierstrass formula for immersion describes conformally parametrized surfaces in the su (N) algebra. In particular, for any holomorphic or antiholomorphic solution of this model the associated surface can be expressed in terms of an orthogonal projector of rank (N - 1). The implementa
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Grundland, A. M., W. A. Hereman, and İ. Yurduşen. "Conformally parametrized surfaces associated with {\protect\bb C} P^{N-1} sigma models." Journal of Physics A: Mathematical and Theoretical 41, no. 6 (2008): 065204. http://dx.doi.org/10.1088/1751-8113/41/6/065204.

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5

CALDIROLI, PAOLO, and ROBERTA MUSINA. "EXISTENCE OF MINIMAL H-BUBBLES." Communications in Contemporary Mathematics 04, no. 02 (2002): 177–209. http://dx.doi.org/10.1142/s021919970200066x.

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Given a function H ∈ C1 (ℝ3) asymptotic to a constant at infinity, we investigate the existence of H-bubbles, i.e., nontrivial, conformal surfaces parametrized by the sphere, with mean curvature H. Under some global hypotheses we prove the existence of H-bubbles with minimal energy.
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6

TĂTARU, LIVIU, and ION V. VANCEA. "BRST COHOMOLOGY IN BELTRAMI PARAMETRIZATION." International Journal of Modern Physics A 11, no. 02 (1996): 375–93. http://dx.doi.org/10.1142/s0217751x96000195.

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We study the BRST cohomology within a local conformal Lagrangian field theory model built on a two-dimensional Riemann surface with no boundary. We deal with the case of the complex structure parametrized by the Beltrami differential and the scalar matter fields. The computation of all elements of the BRST cohomology is given.
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7

BABARO, JUAN PABLO, and GASTON GIRIBET. "ON THE DESCRIPTION OF SURFACE OPERATORS IN ${\mathcal N} = 2^*$ SYM." Modern Physics Letters A 28, no. 06 (2013): 1330003. http://dx.doi.org/10.1142/s0217732313300036.

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Alday and Tachikawa [Lett. Math. Phys.94, 87 (2010)] observed that the Nekrasov partition function of [Formula: see text] superconformal gauge theories in the presence of fundamental surface operators can be associated to conformal blocks of a 2D CFT with affine sl(2) symmetry. This can be interpreted as the insertion of a fundamental surface operator changing the conformal symmetry from the Virasoro symmetry discovered in Ref. 2 to the affine Kac–Moody symmetry. A natural question arises as to how such a 2D CFT description can be extended to the case of non-fundamental surface operators. Moti
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8

Peterfreund, Erez, Ofir Lindenbaum, Felix Dietrich, et al. "Local conformal autoencoder for standardized data coordinates." Proceedings of the National Academy of Sciences 117, no. 49 (2020): 30918–27. http://dx.doi.org/10.1073/pnas.2014627117.

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We propose a local conformal autoencoder (LOCA) for standardized data coordinates. LOCA is a deep learning-based method for obtaining standardized data coordinates from scientific measurements. Data observations are modeled as samples from an unknown, nonlinear deformation of an underlying Riemannian manifold, which is parametrized by a few normalized, latent variables. We assume a repeated measurement sampling strategy, common in scientific measurements, and present a method for learning an embedding inRdthat is isometric to the latent variables of the manifold. The coordinates recovered by o
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9

Guillarmou, Colin, Sergiu Moroianu, and Jean-Marc Schlenker. "THE RENORMALIZED VOLUME AND UNIFORMIZATION OF CONFORMAL STRUCTURES." Journal of the Institute of Mathematics of Jussieu 17, no. 4 (2016): 853–912. http://dx.doi.org/10.1017/s1474748016000244.

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We study the renormalized volume of asymptotically hyperbolic Einstein (AHE in short) manifolds $(M,g)$ when the conformal boundary $\unicode[STIX]{x2202}M$ has dimension $n$ even. Its definition depends on the choice of metric $h_{0}$ on $\unicode[STIX]{x2202}M$ in the conformal class at infinity determined by $g$, we denote it by $\text{Vol}_{R}(M,g;h_{0})$. We show that $\text{Vol}_{R}(M,g;\cdot )$ is a functional admitting a ‘Polyakov type’ formula in the conformal class $[h_{0}]$ and we describe the critical points as solutions of some non-linear equation $v_{n}(h_{0})=\text{constant}$, s
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10

Bertrand, Sébastien, Alfred M. Grundland, and Alexander J. Hariton. "On the Integrability of Supersymmetric Versions of the Structural Equations for Conformally Parametrized Surfaces." Symmetry, Integrability and Geometry: Methods and Applications, June 17, 2015. http://dx.doi.org/10.3842/sigma.2015.046.

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Dissertations / Theses on the topic "Conformally parametrized surfaces"

1

Bertrand, Sébastien. "Extensions supersymétriques des équations structurelles des supervariétés plongées dans des superespaces." Thèse, 2017. http://hdl.handle.net/1866/20582.

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