Homogeneous Riemannian manifolds with generic Ricci tensor

• Autorzy: Włodzimierz Jelonek
• Języki publikacji: EN

Abstrakty

EN

We describe homogeneous manifolds with generic Ricci tensor. We also prove that if 𝔤 is a 4-dimensional unimodular Lie algebra such that dim[𝔤,𝔤] ≤ 2 then every left-invariant metric on the Lie group G with Lie algebra 𝔤 admits two mutually opposite compatible left-invariant almost Kähler structures.

Kategorie tematyczne

• 53D05: Symplectic manifolds, general
• 53C15: General geometric structures on manifolds (almost complex, almost product structures, etc.)
• 53C30: Homogeneous manifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2001
• Tom: 77
• Numer: 3
• Strony: 271-287

Daty

wydano

2001

Twórcy

autor

Włodzimierz Jelonek

• Institute of Mathematics, Technical University of Cracow, Warszawska 24, 31-155 Kraków, Poland Institute of Mathematics, Polish Academy of Sciences, Cracow Branch, Św. Tomasza 30, 31-027 Kraków, Poland

Identyfikatory

DOI

10.4064/ap77-3-6