Surfaces with isotropic Blaschke tensor in S 3 |
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Authors: | Feng Jiang Li Jian Bo Fang Lin Liang |
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Affiliation: | 1. Department of Mathematics, Yunnan Normal University, Kunming 650500, P. R. China;2. Department of Mathematics and statistics, Chuxiong Normal University, Chuxiong 675000, P. R. China |
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Abstract: | Let M2 be an umbilic-free surface in the unit sphere S3. Four basic invariants of M2 under the Moebius transformation group of S3 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 = λg. In this paper, We classify all surfaces with isotropic Blaschke tensor in S3. |
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Keywords: | Moebius geometry Blaschke tensor isotropic |
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