Doubly warped product Finsler manifolds with some non-Riemannian curvature properties

• Autorzy: Esmaeil Peyghan , Akbar Tayebi , Behzad Najafi
• Języki publikacji: EN

Abstrakty

EN

We consider doubly warped product (DWP) Finsler manifolds with some non-Riemannian curvature properties. First, we study Berwald and isotropic mean Berwald DWP-Finsler manifolds. Then we prove that every proper Douglas DWP-Finsler manifold is Riemannian. We show that a proper DWP-manifold is Landsbergian if and only if it is Berwaldian. Then we prove that every relatively isotropic Landsberg DWP-manifold is a Landsberg manifold. We show that a relatively isotropic mean Landsberg warped product manifold is a weakly Landsberg manifold. Finally, we show that there is no locally dually flat proper DWP-Finsler manifold.

Kategorie tematyczne

• 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)
• 53C60: Finsler spaces and generalizations (areal metrics)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2012
• Tom: 105
• Numer: 3
• Strony: 293-311

Daty

wydano

2012

Twórcy

autor

Esmaeil Peyghan

• Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran

autor

Akbar Tayebi

• Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran

autor

Behzad Najafi

• Department of Mathematics, Faculty of Science, Shahed University, Tehran, Iran

Identyfikatory

DOI

10.4064/ap105-3-6