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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao OPUS Augsburgarrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
OPUS Augsburg
Preprint . 2014
Data sources: OPUS Augsburg
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Distances of Polars in Pointed Symmetric R-Spaces

Authors: Quast, Peter; Tanaka, Makiko Sumi;

Distances of Polars in Pointed Symmetric R-Spaces

Abstract

Polars in a pointed compact symmetric space are connected components of the fixed point set of the geodesic symmetry at the origin. They carry important information about the ambient symmetric space. In this note we show that the distances to the origin of two distinct polars in a pointed indecomposable symmetric R-space are different. August 4, 2015; Note added by the authors: A referee kindly informed us that the main result of this preprint, Theorem 1, can also be deduced from the pages 24 and 26 of the following article: M. Takeuchi, On conjugate loci and cut loci of compact symmetric spaces II, Tsukuba J. Math. 3, 1-29 (1979)

Country
Germany
Related Organizations
Keywords

Riemannsche Geometrie, ddc:510, Hermitescher symmetrischer Raum, Polare

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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