On submanifolds of the unit sphere with vanishing Möbius form and parallel para-Blaschke tensor

DOI10.1007/s10114-022-1104-8zbMath1491.53021OpenAlexW4214659264MaRDI QIDQ2115194

Hong Ru Song, Xi-Min Liu

Publication date: 15 March 2022

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-022-1104-8

zbMATH Keywords

constant scalar curvatureparallel mean curvature vector fieldparallel Blaschke tensorvanishing Möbius form

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global submanifolds (53C40) Local submanifolds (53B25) Differential geometry of submanifolds of Möbius space (53A31)

Cites Work

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• Regular space-like hypersurfaces in \(\mathbb S^{m+1}_1\) with parallel para-Blaschke tensors
• A complete classification of Blaschke parallel submanifolds with vanishing Möbius form
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• On submanifolds with parallel Möbius second fundamental form in the unit sphere
• A CLASSIFICATION OF HYPERSURFACES WITH PARALLEL PARA-BLASCHKE TENSOR IN S^m+1

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