On Berwald and Wagner manifolds.
Vincze, Csaba (2008)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Vincze, Csaba (2008)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Bidabad, Behroz (2009)
Balkan Journal of Geometry and its Applications (BJGA)
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Vincze, Cs.
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Esmaeil Peyghan, Akbar Tayebi, Behzad Najafi (2012)
Annales Polonici Mathematici
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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...
Szilasi, József, Vincze, Csaba (2000)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Nagano, Tetsuya, Aikou, Tadashi (2008)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Kim, Chang-Wan (2008)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Johanna Pék (2013)
Communications in Mathematics
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In this paper we generalize the classical structure equations of Riemannian geometry to generalized Finsler manifolds.
Csaba Vincze, Tahere Reza Khoshdani, Sareh Mehdi Zadeh Gilani, Márk Oláh (2019)
Communications in Mathematics
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In the paper we characterize the two-dimensional generalized Berwald manifolds in terms of the classical setting of Finsler surfaces (Berwald frame, main scalar etc.). As an application we prove that if a Landsberg surface is a generalized Berwald manifold then it must be a Berwald manifold. Especially, we reproduce Wagner's original result in honor of the 75th anniversary of publishing his pioneering work about generalized Berwald manifolds.
Aurel Bejancu, Hani Reda Farran (2011)
Publications de l'Institut Mathématique
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