复空间形式中霍普夫超曲面上的统计基林向量场

IF 0.3 Q4 MATHEMATICS Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2024-06-03 DOI:10.12697/acutm.2024.28.05

Esmaiel Abedi, Nasibeh Moghanian, Mohamad Ilmakchi, Najma Mosadegh Kordmahaleh

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摘要

引入了统计基林向量场，并研究了以结构统计基林向量场为条件的复数空间形式的霍普夫超曲面。研究表明，这些超曲面最多有三个不同的恒定主曲率。

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Statistical Killing vector fields on the Hopf hypersurfaces in the complex space forms

Statistical Killing vector field is introduced and Hopf hypersurfaces of complex space forms with the condition of being structural statistical Killing vector field are studied. It is shown that these hypersurfaces have at most three distinct constant principal curvatures.

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