Quasi L sub( )pIntersection Bodies

Quasi L sub( )pIntersection Bodies

The purpose of this paper is to generalize the notion of intersection bodies to that of quasi L sub( )pintersection bodies. The L sub( )panalogs of the Busemann intersection inequality and the Brunn-Minkowski inequality for the quasi L sub( )pintersection bodies are obtained. The Aleksandrov-Fenchel...

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Veröffentlicht in:Acta mathematica Sinica. English series 2007-11, Vol.23 (11), p.1937-1948
Hauptverfasser: Yu, Wu Yang, Wu, Dong Hua, Leng, Gang Song
Format: Artikel
Sprache:eng
Schlagworte:
Inequalities
Intersections
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Zusammenfassung:The purpose of this paper is to generalize the notion of intersection bodies to that of quasi L sub( )pintersection bodies. The L sub( )panalogs of the Busemann intersection inequality and the Brunn-Minkowski inequality for the quasi L sub( )pintersection bodies are obtained. The Aleksandrov-Fenchel inequality for the mixed quasi L sub( )pintersection bodies is also established.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-007-0958-0