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A classification of surfaces with isotropic Para‐Blaschke tensor

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  • Fengjiang Li
  • Jianbo Fang
  • Jianxiang Li

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).

Suggested Citation

  • Fengjiang Li & Jianbo Fang & Jianxiang Li, 2020. "A classification of surfaces with isotropic Para‐Blaschke tensor," Mathematische Nachrichten, Wiley Blackwell, vol. 293(9), pages 1762-1775, September.
    • Handle: RePEc:bla:mathna:v:293:y:2020:i:9:p:1762-1775
    DOI: 10.1002/mana.201900222
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