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math.DGAug 31, 2024
authors
  • Federico A. Rossi
institutions
  • University of Perugia
arXiv abstractPDF
paper

A non-Standard Indefinite Einstein Solvmanifold

arXiv:2409.00462 · doi:10.15673/pigc.v18i1.2882

Abstract

We describe an example of an indefinite invariant Einstein metric on a solvmanifold which is not standard, and whose restriction on the nilradical is nondegenerate.

arXiv comment12 pages

References in corpus (10)

  • Homogeneous Ricci Solitons are Algebraic
  • Einstein nilpotent Lie groups
  • Ricci-flat and Einstein pseudoriemannian nilmanifolds
  • Indefinite Einstein metrics on nice Lie groups
  • Diagram involutions and homogeneous Ricci-flat metrics
  • Pseudo-Kähler and pseudo-Sasaki structures on Einstein solvmanifolds
  • Pseudo-Riemannian Sasaki solvmanifolds
  • The Ricci-flatness that lurks in weight
  • A construction of Einstein solvmanifolds not based on nilsolitons
  • New Special Einstein Pseudo-Riemannian Metrics on Solvable Lie Algebras
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