Classification of Left Invariant Riemannian Metrics on Complex Hyperbolic Space
نویسندگان
چکیده
It is well known that \({\mathbb {C}}H^n\) has the structure of a solvable Lie group with left invariant metric constant holomorphic sectional curvature. In this paper we give full classification all possible Riemannian metrics on group. We prove each those negative scalar curvature, only one them being Einstein (up to isometry and scaling).
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ژورنال
عنوان ژورنال: Mediterranean Journal of Mathematics
سال: 2022
ISSN: ['1660-5454', '1660-5446']
DOI: https://doi.org/10.1007/s00009-022-02152-w