A complete classification of four-dimensional paraKähler Lie algebras

• Autorzy: Giovanni Calvaruso
• Języki publikacji: EN

Abstrakty

EN

We consider paraKähler Lie algebras, that is, even-dimensional Lie algebras g equipped with a pair (J, g), where J is a paracomplex structure and g a pseudo-Riemannian metric, such that the fundamental 2-form Ω(X, Y) = g(X, JY) is symplectic. A complete classification is obtained in dimension four.

Słowa kluczowe

EN

Lie algebras; paraKähler structures; pseudo-Riemannian homogeneous spaces

• Wydawca: De Gruyter Open
• Czasopismo: Complex Manifolds
• Rocznik: 2015
• Tom: 2
• Numer: 1

Daty

otrzymano

2014-11-24

zaakceptowano

2015-01-10

online

2015-02-09

Twórcy

autor

Giovanni Calvaruso

• Dipartimento di Matematica e Fisica “E. De Giorgi”, Università del Salento,
  Prov. Lecce-Arnesano, 73100 Lecce, Italy

Bibliografia

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Identyfikatory

DOI

10.1515/coma-2015-0001