Marijana Babic — Neckpinchhttps://neckpinch.com/authors/marijana-babic/New arXiv papers by Marijana Babic, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT Classification of Left Invariant Riemannian metrics on Complex hyperbolic spacehttps://neckpinch.com/papers/2106.07320/arxiv:2106.07320Mon, 14 Jun 2021 00:00:00 GMTAndrijana Dekic, Marijana Babic, Srdjan Vukmirovic — It is well known that ℂHⁿ has the structure of solvable Lie group with left invariant metric of constant holomorphic sectional curvature. In this paper we give the full classification of all possible left invariant Riemannian metrics on this Lie group. We prove that all of these metrics are of constant negative scalar curvature and only one of them is Einstein (up to isometry and scaling). Finally, we present the relation between Ricci solitons on Heisenberg group and Einstein metric on ℂHⁿ.Ricci solitonsEinstein metricsScalar curvatureHomogeneous spaces