scholarly journals SO(2,4)-covariant quantization of the Maxwell field in conformally flat spaces

2013 ◽  
Vol 87 (6) ◽  
Author(s):  
Sofiane Faci
Keyword(s):  
Maxwell Field ◽  
Conformally Flat ◽  
Covariant Quantization

scholarly journals Conformally covariant quantization of the Maxwell field in de Sitter space

2009 ◽  
Vol 80 (12) ◽  
Author(s):  
S. Faci ◽  
E. Huguet ◽  
J. Queva ◽  
J. Renaud
Keyword(s):  
De Sitter Space ◽  
Maxwell Field ◽  
Covariant Quantization ◽  
De Sitter

Conformally flat kähler spaces

2020 ◽  
Author(s):  
O. Lesechko ◽  
O. Latysh ◽  
T. Spychak
Keyword(s):  
Conformally Flat

scholarly journals Bonnor-Vaidya charged point mass in an external Maxwell field

2021 ◽  
Vol 103 (4) ◽  
Author(s):  
Peter A. Hogan ◽  
Dirk Puetzfeld
Keyword(s):  
Point Mass ◽  
Maxwell Field ◽  
Charged Point

On Lagrangian Catenoids

2007 ◽  
Vol 50 (3) ◽  
pp. 321-333 ◽  
Author(s):  
David E. Blair
Keyword(s):  
General Problem ◽  
Lagrangian Submanifolds ◽  
Minimal Submanifold ◽  
Conformally Flat ◽  
Totally Geodesic ◽  
Schouten Tensor ◽  
Multiplicity One

AbstractRecently I. Castro and F.Urbano introduced the Lagrangian catenoid. Topologically, it is ℝ × Sn–1 and its induced metric is conformally flat, but not cylindrical. Their result is that if a Lagrangian minimal submanifold in ℂn is foliated by round (n – 1)-spheres, it is congruent to a Lagrangian catenoid. Here we study the question of conformally flat, minimal, Lagrangian submanifolds in ℂn. The general problem is formidable, but we first show that such a submanifold resembles a Lagrangian catenoid in that its Schouten tensor has an eigenvalue of multiplicity one. Then, restricting to the case of at most two eigenvalues, we show that the submanifold is either flat and totally geodesic or is homothetic to (a piece of) the Lagrangian catenoid.

scholarly journals $L^{p}$ harmonic 1-forms on conformally flat Riemannian manifolds

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Jing Li ◽  
Shuxiang Feng ◽  
Peibiao Zhao
Keyword(s):  
Riemannian Manifold ◽  
Riemannian Manifolds ◽  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
Finiteness Theorem ◽  
Conformally Flat ◽  
Locally Conformally Flat ◽  
Flat Riemannian Manifold ◽  
Ricci Form

AbstractIn this paper, we establish a finiteness theorem for $L^{p}$ L p harmonic 1-forms on a locally conformally flat Riemannian manifold under the assumptions on the Schrödinger operators involving the squared norm of the traceless Ricci form. This result can be regarded as a generalization of Han’s result on $L^{2}$ L 2 harmonic 1-forms.

scholarly journals New conformally flat initial data for spinning black holes

2002 ◽  
Vol 65 (10) ◽  
Author(s):  
Sergio Dain ◽  
Carlos O. Lousto ◽  
Ryoji Takahashi
Keyword(s):  
Black Holes ◽  
Initial Data ◽  
Conformally Flat
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