Intersection Bodies and the Busemann-Petty Inequalities in ℝ 4

Gaoyong Zhang

doi:10.2307/2118603

Intersection Bodies and the Busemann-Petty Inequalities in ℝ 4

Annals of Mathematics ◽

10.2307/2118603 ◽

1994 ◽

Vol 140 (2) ◽

pp. 331 ◽

Cited By ~ 47

Author(s):

Gaoyong Zhang

Keyword(s):

Intersection Bodies

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Counterexamples to convexity of $k$-intersection bodies

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-2014-12254-4 ◽

2014 ◽

Vol 142 (12) ◽

pp. 4355-4363 ◽

Cited By ~ 2

Author(s):

Vladyslav Yaskin

Keyword(s):

Intersection Bodies

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The dual Brunn-Minkowski inequalities for star dual of mixed intersection bodies

Acta Mathematica Scientia ◽

10.1016/s0252-9602(10)60075-6 ◽

2010 ◽

Vol 30 (3) ◽

pp. 739-746 ◽

Cited By ~ 1

Author(s):

Zhu Xianyang ◽

Shen Yajun

Keyword(s):

Intersection Bodies ◽

Mixed Intersection Bodies

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$p$-Minkowski inequalities for mixed intersection bodies

Miskolc Mathematical Notes ◽

10.18514/mmn.2010.220 ◽

2010 ◽

Vol 11 (2) ◽

pp. 121

Author(s):

Zhao Chang-jian ◽

Mihály Bencze

Keyword(s):

Intersection Bodies ◽

Mixed Intersection Bodies

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Intersection bodies and generalized cosine transforms

Advances in Mathematics ◽

10.1016/j.aim.2008.01.011 ◽

2008 ◽

Vol 218 (3) ◽

pp. 696-727 ◽

Cited By ~ 13

Author(s):

Boris Rubin

Keyword(s):

Intersection Bodies

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On dual quermassintegrals of mixed intersection bodies

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2007.06.033 ◽

2008 ◽

Vol 339 (1) ◽

pp. 399-404

Author(s):

Fenghong Lu ◽

Gangsong Leng

Keyword(s):

Intersection Bodies ◽

Mixed Intersection Bodies ◽

Dual Quermassintegrals

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Intersection bodies and volume inequalities

Geometric Tomography ◽

10.1017/cbo9781107341029.011 ◽

2013 ◽

pp. 304-349

Author(s):

Richard J. Gardner

Keyword(s):

Intersection Bodies

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Intersection bodies and the Busemann-Petty problem

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1994-1201126-7 ◽

1994 ◽

Vol 342 (1) ◽

pp. 435-445 ◽

Cited By ~ 63

Author(s):

R. J. Gardner

Keyword(s):

Intersection Bodies

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Convex intersection bodies in three and four dimensions

Mathematika ◽

10.1112/s002557930000752x ◽

1999 ◽

Vol 46 (1) ◽

pp. 15-27 ◽

Cited By ~ 9

Author(s):

Stefano Campi

Keyword(s):

Four Dimensions ◽

Intersection Bodies

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On convex intersection bodies and unique determination problems for convex bodies

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2016.05.023 ◽

2016 ◽

Vol 443 (1) ◽

pp. 295-312

Author(s):

Matthew Stephen

Keyword(s):

Convex Bodies ◽

Unique Determination ◽

Intersection Bodies

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Brunn–Minkowski inequality for mixed intersection bodies

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2004.07.013 ◽

2005 ◽

Vol 301 (1) ◽

pp. 115-123 ◽

Cited By ~ 19

Author(s):

Chang-jian Zhao ◽

Gangsong Leng

Keyword(s):

Minkowski Inequality ◽

Intersection Bodies ◽

Mixed Intersection Bodies

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