Curvature properties of φ-null Osserman Lorentzian S-manifolds

• Autorzy: Letizia Brunetti , Angelo Caldarella
• Języki publikacji: EN

Abstrakty

EN

We expound some results about the relationships between the Jacobi operators with respect to null vectors on a Lorentzian S-manifold and the Jacobi operators with respect to particular spacelike unit vectors. We study the number of the eigenvalues of such operators on Lorentzian S-manifolds satisfying the φ-null Osserman condition, under suitable assumptions on the dimension of the manifold. Then, we provide in full generality a new curvature characterization for Lorentzian S-manifolds and we use it to obtain an algebraic decomposition for the Riemannian curvature tensor of φ-null Osserman Lorentzian S-manifolds.

Słowa kluczowe

EN

Osserman condition; Jacobi operator; Lorentzian S-manifold; Lorentz manifold

Kategorie tematyczne

• 53B30: Lorentz metrics, indefinite metrics
• 53C15: General geometric structures on manifolds (almost complex, almost product structures, etc.)
• 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)
• 53C50: Lorentz manifolds, manifolds with indefinite metrics

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2014
• Tom: 12
• Numer: 1
• Strony: 97-113

Daty

wydano

2014-01-01

online

2013-10-30

Twórcy

autor

Letizia Brunetti

• University of Bari

autor

Angelo Caldarella

• University of Bari

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-013-0331-8