Research profile

Andrijana Dekic

Works on Einstein metrics, homogeneous spaces and scalar curvature.

NP-RC-0783560000-0001-6955-0930

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Einstein metricsHomogeneous spacesScalar curvatureRicci solitons

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  1. Marijana Babic

    1 joint worklatest 2021

  2. Srdjan Vukmirovic

    1 joint worklatest 2021

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Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.

2021

math.DGarXiv:2106.07320

Classification of Left Invariant Riemannian metrics on Complex hyperbolic space

Andrijana Dekic, Marijana Babic, Srdjan Vukmirovic

It is well known that 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 .

Ricci solitonsEinstein metricsScalar curvatureHomogeneous spaces
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NP-RC-078356 is Andrijana Dekic's permanent number in the Ricci flow community on Neckpinch. It stays with them through any change of name or post. More about these numbers.

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