scholarly journals On Some Conformally Invariant Operators in Euclidean Space

2018 ◽  
pp. 53-72
Author(s):  
C. Ding ◽  
J. Ryan
Keyword(s):  
Euclidean Space ◽  
Conformally Invariant ◽  
Conformally Invariant Operators

Mapping the axial current onto the hypersphere

1990 ◽  
Vol 68 (1) ◽  
pp. 54-57 ◽  
Author(s):  
D. G. C. McKeon
Keyword(s):  
Euclidean Space ◽  
Stereographic Projection ◽  
Axial Current ◽  
Dimensional Euclidean Space ◽  
Gauge Invariant ◽  
Five Dimensions ◽  
Conformally Invariant

A stereographic projection has been used to map conformally invariant spinor electrodynamics from four-dimensional Euclidean space onto the surface of a sphere in five dimensions. We extend electrodynamics so that the spinors also couple in a gauge invariant way to the current on the surface of the hypersphere that is the image of the axial current [Formula: see text] in Euclidean space under this mapping.

scholarly journals On conformally invariant extremal problems

2009 ◽  
Vol 3 (1) ◽  
pp. 97-119 ◽  
Author(s):  
Vesna Manojlovic
Keyword(s):  
Euclidean Space ◽  
Metric Spaces ◽  
Extremal Problems ◽  
Invariant Metrics ◽  
Conformal Invariants ◽  
Conformally Invariant

This paper deals with conformal invariants in the euclidean space Rn, n ? 2, and their interrelation. In particular, conformally invariant metrics and balls of the respective metric spaces are studied.

scholarly journals Nullspaces of conformally invariant operators. Applications to $\boldsymbol{Q_k}$-curvature

2013 ◽  
Vol 20 (0) ◽  
pp. 43-50
Author(s):  
Raphaël Ponge ◽  
Dmitry Jakobson ◽  
A. Rod Gover ◽  
Yaiza Canzani
Keyword(s):  
Conformally Invariant ◽  
Conformally Invariant Operators
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