Surfaces with isotropic Blaschke tensor in S 3

Verfasser / Beitragende:
[Feng Li, Jian Fang, Lin Liang]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/5(2015-05-01), 863-878
Format:
Artikel (online)
ID: 605462119
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024 7 0 |a 10.1007/s10114-015-3706-x  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-3706-x 
245 0 0 |a Surfaces with isotropic Blaschke tensor in S 3  |h [Elektronische Daten]  |c [Feng Li, Jian Fang, Lin Liang] 
520 3 |a Let M 2 be an umbilic-free surface in the unit sphere S 3. Four basic invariants of M 2 under the Moebius transformation group of S 3 are Moebius metric g, Blaschke tensor A, Moebius second fundamental form B and Moebius form Φ. We call the Blaschke tensor is isotropic if there exists a smooth function λ such that A = λ g. In this paper, We classify all surfaces with isotropic Blaschke tensor in S 3. 
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 Moebius geometry  |2 nationallicence 
690 7 |a Blaschke tensor  |2 nationallicence 
690 7 |a isotropic  |2 nationallicence 
700 1 |a Li  |D Feng  |u Department of Mathematics, Yunnan Normal University, 650500, Kunming, P. R. China  |4 aut 
700 1 |a Fang  |D Jian  |u Department of Mathematics and statistics, Chuxiong Normal University, 675000, Chuxiong, P. R. China  |4 aut 
700 1 |a Liang  |D Lin  |u Department of Mathematics and statistics, Chuxiong Normal University, 675000, Chuxiong, 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 31/5(2015-05-01), 863-878  |x 1439-8516  |q 31:5<863  |1 2015  |2 31  |o 10114 
856 4 0 |u https://doi.org/10.1007/s10114-015-3706-x  |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/s10114-015-3706-x  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Li  |D Feng  |u Department of Mathematics, Yunnan Normal University, 650500, Kunming, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Fang  |D Jian  |u Department of Mathematics and statistics, Chuxiong Normal University, 675000, Chuxiong, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Liang  |D Lin  |u Department of Mathematics and statistics, Chuxiong Normal University, 675000, Chuxiong, 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 31/5(2015-05-01), 863-878  |x 1439-8516  |q 31:5<863  |1 2015  |2 31  |o 10114