An explicit counter-example for the shephard problem of convex bodies in ℝ n

Verfasser / Beitragende:
[Yun Xia, Chun Zeng]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/12(2015-12-01), 1941-1950
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10114-015-4561-5  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-4561-5 
245 0 3 |a An explicit counter-example for the shephard problem of convex bodies in ℝ n  |h [Elektronische Daten]  |c [Yun Xia, Chun Zeng] 
520 3 |a Comparing the volume of the projection body of a double cone and that of the projection body of a ball, we give an explicit counter-example for the Shephard problem of convex bodies in R n (n ≥ 3) and an affirmative answer to the question of Zhang. 
540 |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a The Shephard problem  |2 nationallicence 
690 7 |a projection bodies  |2 nationallicence 
690 7 |a double cone  |2 nationallicence 
700 1 |a Xia  |D Yun  |u School of Mathematics and Statistics, Southwest University, 400715, Chongqing, P. R. China  |4 aut 
700 1 |a Zeng  |D Chun  |u College of Mathematics Science, Chongqing Normal University, 401331, Chongqing, P. R. China  |4 aut 
773 0 |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/12(2015-12-01), 1941-1950  |x 1439-8516  |q 31:12<1941  |1 2015  |2 31  |o 10114 
856 4 0 |u https://doi.org/10.1007/s10114-015-4561-5  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10114-015-4561-5  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Xia  |D Yun  |u School of Mathematics and Statistics, Southwest University, 400715, Chongqing, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Zeng  |D Chun  |u College of Mathematics Science, Chongqing Normal University, 401331, Chongqing, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/12(2015-12-01), 1941-1950  |x 1439-8516  |q 31:12<1941  |1 2015  |2 31  |o 10114