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Almost cosymplectic 3-manifolds with pseudo-parallel characteristic Jacobi operator

Jun-ichi Inoguchi

Institute of Mathematics, University of Tsukuba, 1-1-1 Tennodai, Tsukuba 305-8571, Japan

E-mail Address: inoguchi@math.tsukuba.ac.jp

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and

Ji-Eun Lee

https://orcid.org/0000-0003-0698-9596

Institute of Basic Science, Chonnam National University, Gwangju 61186, Korea

E-mail Address: jieunlee12@naver.com

Corresponding author.

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https://doi.org/10.1142/S0219887822501195Cited by:3 (Source: Crossref)

Abstract

In this paper, we classify almost cosymplectic 3-manifolds with pseudo-parallel characteristic Jacobi operator. The only simply connected and complete non-cosymplectic almost cosymplectic 3-manifold with pseudo parallel characteristic Jacobi operator is the Minkowski motion group.

Keywords:

AMSC: 53D15, 53C25, 53C30

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