caa a22 4500 605462119 CHVBK 20210128100246.0 cr unu---uuuuu 210128e20150501xx s 000 0 eng 10.1007/s10114-015-3706-x doi (NATIONALLICENCE)springer-10.1007/s10114-015-3706-x Surfaces with isotropic Blaschke tensor in S 3 [Elektronische Daten] [Feng Li, Jian Fang, Lin Liang] 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. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 Moebius geometry nationallicence Blaschke tensor nationallicence isotropic nationallicence Li Feng Department of Mathematics, Yunnan Normal University, 650500, Kunming, P. R. China aut Fang Jian Department of Mathematics and statistics, Chuxiong Normal University, 675000, Chuxiong, P. R. China aut Liang Lin Department of Mathematics and statistics, Chuxiong Normal University, 675000, Chuxiong, P. R. China aut Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/5(2015-05-01), 863-878 1439-8516 31:5<863 2015 31 10114 https://doi.org/10.1007/s10114-015-3706-x text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10114-015-3706-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Li Feng Department of Mathematics, Yunnan Normal University, 650500, Kunming, P. R. China aut NATIONALLICENCE 700 1- Fang Jian Department of Mathematics and statistics, Chuxiong Normal University, 675000, Chuxiong, P. R. China aut NATIONALLICENCE 700 1- Liang Lin Department of Mathematics and statistics, Chuxiong Normal University, 675000, Chuxiong, P. R. China aut NATIONALLICENCE 773 0- Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/5(2015-05-01), 863-878 1439-8516 31:5<863 2015 31 10114