An Osserman-type condition on g.f.f-manifolds with Lorentz metric

• Autorzy: Letizia Brunetti
• Języki publikacji: EN

Abstrakty

EN

A condition of Osserman type, called the φ-null Osserman condition, is introduced and studied in the context of Lorentz globally framed f-manifolds. An explicit example shows the naturality of this condition in the setting of Lorentz 𝓢-manifolds. We prove that a Lorentz 𝓢-manifold with constant φ-sectional curvature is φ-null Osserman, extending a well-known result in the case of Lorentz Sasaki space forms. Then we state a characterization of a particular class of φ-null Osserman 𝓢-manifolds. Finally, some examples are examined.

Kategorie tematyczne

• 53B30: Lorentz metrics, indefinite metrics
• 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)
• 53C50: Lorentz manifolds, manifolds with indefinite metrics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2014
• Tom: 110
• Numer: 2
• Strony: 123-141

Daty

wydano

2014

Twórcy

autor

Letizia Brunetti

• Department of Mathematics, University of Bari "Aldo Moro", Via E. Orabona, 4, 70125 Bari, Italy

Identyfikatory

DOI

10.4064/ap110-2-3