Original scientific paper

https://doi.org/10.3336/gm.58.1.08

Semi-parallel Hopf real hypersurfaces in the complex quadric

Hyunjin Lee ; Department of Mathematics Education, Chosun University, Gwangju 61452, Republic of Korea
Young Jin Suh ; Department of Mathematics & RIRCM, Kyungpook National University, Daegu 41566, Republic of Korea

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Abstract

In this paper, we introduce the new notion of semi-parallel real hypersurface in the complex quadric \(Q^{m}\). Moreover, we give a nonexistence theorem for semi-parallel Hopf real hypersurfaces in the complex quadric \(Q^{m}\) for \(m \geq 3\).

Keywords

Semi-parallel real hypersurface, semi-symmetric real hypersurface, singular normal vector field, complex structure, real structure, complex quadric

Hrčak ID:

304395

URI

https://hrcak.srce.hr/304395

Publication date:

20.6.2023.

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