A classification of surfaces with isotropic Para‐Blaschke tensor

Fengjiang Li, Jianbo Fang and Jianxiang Li

Mathematische Nachrichten, 2020, vol. 293, issue 9, 1762-1775

Abstract: Let M2→S3 be an umbilic‐free surface. Four basic invariants of M2 under the Möbius transformation group of S3 are the Möbius metric g, the Blaschke tensor A, the Möbius second fundamental form B and the Möbius form Φ. A symmetric (0,2) tensor D=A+μB called Para‐Blaschke tensor, where μ is constant, is also Möbius invariant. In this paper, we classify the surfaces with isotropic Para‐Blaschke tensor (D=λg, where λ is a function).

Date: 2020
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