Willmore submanifolds in the unit sphere via isoparametric functions

Verfasser / Beitragende:
[Yu Xie]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/12(2015-12-01), 1963-1969
Format:
Artikel (online)
ID: 60546149X
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024 7 0 |a 10.1007/s10114-015-5300-7  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-5300-7 
100 1 |a Xie  |D Yu  |u Department of Mathematics, Hangzhou Normal University, 310036, Hangzhou, P. R. China  |4 aut 
245 1 0 |a Willmore submanifolds in the unit sphere via isoparametric functions  |h [Elektronische Daten]  |c [Yu Xie] 
520 3 |a In this paper, we show that both focal submanifolds of each isoparametric hypersurface in the sphere with six distinct principal curvatures are Willmore, hence all focal submanifolds of isoparametric hypersurfaces in the sphere are Willmore. 
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 Willmore submanifold  |2 nationallicence 
690 7 |a soparametric hypersurface  |2 nationallicence 
690 7 |a focal submanifold  |2 nationallicence 
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), 1963-1969  |x 1439-8516  |q 31:12<1963  |1 2015  |2 31  |o 10114 
856 4 0 |u https://doi.org/10.1007/s10114-015-5300-7  |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/s10114-015-5300-7  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a Xie  |D Yu  |u Department of Mathematics, Hangzhou Normal University, 310036, Hangzhou, 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), 1963-1969  |x 1439-8516  |q 31:12<1963  |1 2015  |2 31  |o 10114