Ricci-flat and Einstein Pseudoriemannian nilmanifolds

DOI10.1515/coma-2019-0010zbMath1418.53051arXiv1812.01310OpenAlexW2902836555WikidataQ127863258 ScholiaQ127863258MaRDI QIDQ2001909

Diego Conti, Federico Alberto Rossi

Publication date: 11 July 2019

Published in: Complex Manifolds (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.01310

zbMATH Keywords

nilpotent Lie groupsEinstein pseudo-Riemannian metricsnice Lie algebras

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Nilpotent and solvable Lie groups (22E25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items

A non Ricci-flat Einstein pseudo-Riemannian metric on a 7-dimensional nilmanifold, New pseudo Einstein metrics on Einstein solvmanifolds, Left invariant Ricci flat metrics on Lie groups, Pseudo-Kähler and pseudo-Sasaki structures on Einstein solvmanifolds, Construction of nice nilpotent Lie groups, Existence of left invariant Ricci flat metrics on nilpotent Lie groups, Double extensions on Riemannian Ricci nilsolitons, Indefinite Einstein metrics on nice Lie groups, Diagram involutions and homogeneous Ricci-flat metrics, Nice pseudo-Riemannian nilsolitons, A classification of left-invariant pseudo-Riemannian metrics on some nilpotent Lie groups

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