Filiform nilsolitons of dimension 8

DOI10.1216/RMJ-2011-41-4-1025zbMath1222.53045arXiv0810.4530OpenAlexW2963820676MaRDI QIDQ635257

Romina M. Arroyo

Publication date: 19 August 2011

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.4530

zbMATH Keywords

Riemannian manifoldEinstein spacesolvmanifoldnilradicalAlekseevskii conjecturefiliform nilsolitons

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Nilpotent and solvable Lie groups (22E25)

Related Items (6)

Methods for parametrizing varieties of Lie algebras ⋮ On the nonexistence of left-invariant Ricci solitons -- a conjecture and examples ⋮ Ricci-flat and Einstein Pseudoriemannian nilmanifolds ⋮ Computation of positively graded filiform nilpotent Lie algebras in low dimensions ⋮ Nice pseudo-Riemannian nilsolitons ⋮ Classification of ordered type soliton metric Lie algebras by a computational approach

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