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On Conformal Infinity and Compactifications of the Minkowski Space

Overview of attention for article published in Advances in Applied Clifford Algebras, March 2011
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Title
On Conformal Infinity and Compactifications of the Minkowski Space
Published in
Advances in Applied Clifford Algebras, March 2011
DOI 10.1007/s00006-011-0285-5
Authors

Arkadiusz Jadczyk

Abstract

Using the standard Cayley transform and elementary tools it is reiterated that the conformal compactification of the Minkowski space involves not only the "cone at infinity" but also the 2-sphere that is at the base of this cone. We represent this 2-sphere by two additionally marked points on the Penrose diagram for the compactified Minkowski space. Lacks and omissions in the existing literature are described, Penrose diagrams are derived for both, simple compactification and its double covering space, which is discussed in some detail using both the U(2) approach and the exterior and Clifford algebra methods. Using the Hodge * operator twistors (i.e. vectors of the pseudo-Hermitian space H_{2,2}) are realized as spinors (i.e., vectors of a faithful irreducible representation of the even Clifford algebra) for the conformal group SO(4,2)/Z_2. Killing vector fields corresponding to the left action of U(2) on itself are explicitly calculated. Isotropic cones and corresponding projective quadrics in H_{p,q} are also discussed. Applications to flat conformal structures, including the normal Cartan connection and conformal development has been discussed in some detail.

Mendeley readers

The data shown below were compiled from readership statistics for 9 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 9 100%

Demographic breakdown

Readers by professional status Count As %
Professor 2 22%
Other 2 22%
Researcher 2 22%
Student > Ph. D. Student 2 22%
Student > Doctoral Student 1 11%
Other 0 0%
Readers by discipline Count As %
Mathematics 5 56%
Physics and Astronomy 4 44%

Attention Score in Context

This research output has an Altmetric Attention Score of 1. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 31 August 2010.
All research outputs
#2,898,535
of 3,631,524 outputs
Outputs from Advances in Applied Clifford Algebras
#22
of 31 outputs
Outputs of similar age
#38,126
of 55,747 outputs
Outputs of similar age from Advances in Applied Clifford Algebras
#2
of 3 outputs
Altmetric has tracked 3,631,524 research outputs across all sources so far. This one is in the 2nd percentile – i.e., 2% of other outputs scored the same or lower than it.
So far Altmetric has tracked 31 research outputs from this source. They receive a mean Attention Score of 2.0. This one scored the same or higher as 9 of them.
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