Reeb lie derivatives on real hypersurfaces in complex hyperbolic two-plane Grassmannians-Reference-Cited by-同舟云学术

Reeb lie derivatives on real hypersurfaces in complex hyperbolic two-plane Grassmannians

Published:2023 Issue:3 Volume:37 Page:915-924
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Pak Eunmi¹,Kim Gyu²

Affiliation:

1. Department of Mathematics, Kyungpook National University, Daehakro, Bukgu, Daegu, Republic of Korea

2. Department of Mathematics Education, Woosuk University, Jeollabuk-Do, Republic of Korea

Abstract

In complex two-plane Grassmannians G2(Cm+2) = SU2+m/S(U2?Um), it is known that a real hypersurface satisfying the condition (L?(k)?R?)Y = (L?R?)Y is locally congruent to an open part of a tube around a totally geodesic G2(Cm+1) in G2(Cm+2). In this paper, as an abient space, we consider a complex hyperbolic two-plane Grassmannian SU2,m/S(U2?Um) and give a complete classification of Hopf real hypersurfaces in SU2,m/S(U2?Um) with the above condition.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference18 articles.

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