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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 대한수학회 대한수학회지 대한수학회지 제60권 제1호
- 발행연도
- 2023.1
- 수록면
- 143 - 165 (23page)
- DOI
- 10.4134/JKMS.j220238
이용수
초록· 키워드
오류제보하기
For each connected and simply connected three-dimensional non-unimodular Lie group, we classify the left invariant Lorentzian metrics up to automorphism, and study the extent to which curvature can be altered by a change of metric. Thereby we obtain the Ricci operator, the scalar curvature, and the sectional curvatures as functions of left invariant Lorentzian metrics on each of these groups. Our study is a continuation and extension of the previous studies done in \cite{HL2009_MN} for Riemannian metrics and in \cite{BC} for Lorentzian metrics on unimodular Lie groups.
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