Characterization of the generalized Calabi composition of affine hyperspheres

Verfasser / Beitragende:
[Miroslava Antić, Ze Hu, Ce Li, Luc Vrancken]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/10(2015-10-01), 1531-1554
Format:
Artikel (online)
ID: 605461651
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024 7 0 |a 10.1007/s10114-015-4431-1  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-4431-1 
245 0 0 |a Characterization of the generalized Calabi composition of affine hyperspheres  |h [Elektronische Daten]  |c [Miroslava Antić, Ze Hu, Ce Li, Luc Vrancken] 
520 3 |a In this paper, continuing with Hu-Li-Vrancken and the recent work of Antić-Dillen- Schoels-Vrancken, we obtain a decomposition theorem which settled the problem of how to determine whether a given locally strongly convex affine hypersurface can be decomposed as a generalized Calabi composition of two affine hyperspheres, based on the properties of its difference tensor K and its affine shape operator S. 
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 Generalized Calabi composition  |2 nationallicence 
690 7 |a affine hyperspheres  |2 nationallicence 
690 7 |a warped product  |2 nationallicence 
700 1 |a Antić  |D Miroslava  |u Faculty of Mathematics, University of Belgrade, Studentski trg 16, Pb. 550, 11000, Belgrade, Serbia  |4 aut 
700 1 |a Hu  |D Ze  |u School of Mathematics and Statistics, Zhengzhou University, 450001, Zhengzhou, P. R. China  |4 aut 
700 1 |a Li  |D Ce  |u School of Mathematics and Statistics, He'nan University of Science and Technology, 471023, Luoyang, P. R. China  |4 aut 
700 1 |a Vrancken  |D Luc  |u UVHC, LAMAV, F-59313, Valenciennes, France  |4 aut 
773 0 |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/10(2015-10-01), 1531-1554  |x 1439-8516  |q 31:10<1531  |1 2015  |2 31  |o 10114 
856 4 0 |u https://doi.org/10.1007/s10114-015-4431-1  |q text/html  |z Onlinezugriff via DOI 
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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/s10114-015-4431-1  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Antić  |D Miroslava  |u Faculty of Mathematics, University of Belgrade, Studentski trg 16, Pb. 550, 11000, Belgrade, Serbia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Hu  |D Ze  |u School of Mathematics and Statistics, Zhengzhou University, 450001, Zhengzhou, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Li  |D Ce  |u School of Mathematics and Statistics, He'nan University of Science and Technology, 471023, Luoyang, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Vrancken  |D Luc  |u UVHC, LAMAV, F-59313, Valenciennes, France  |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 31/10(2015-10-01), 1531-1554  |x 1439-8516  |q 31:10<1531  |1 2015  |2 31  |o 10114