On “All regular Landsberg metrics are always Berwald" by Z. I. Szabó.
Matveev, Vladimir S. (2009)
Balkan Journal of Geometry and its Applications (BJGA)
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Matveev, Vladimir S. (2009)
Balkan Journal of Geometry and its Applications (BJGA)
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Boskoff, Wladimir G., Suceava, Bogdan D. (2007)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Akbar Tayebi, Behzad Najafi (2012)
Annales Polonici Mathematici
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We prove that every isotropic Berwald metric of scalar flag curvature is a Randers metric. We study the relation between an isotropic Berwald metric and a Randers metric which are pointwise projectively related. We show that on constant isotropic Berwald manifolds the notions of R-quadratic and stretch metrics are equivalent. Then we prove that every complete generalized Landsberg manifold with isotropic Berwald curvature reduces to a Berwald manifold. Finally, we study C-conformal changes...
Constantinescu, Oana, Crasmareanu, Mircea (2009)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Malešević, Branko J. (2006)
Journal of Inequalities and Applications [electronic only]
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Toda, M., Udrişte, C. (1999)
Balkan Journal of Geometry and its Applications (BJGA)
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Anastasiei, M., Shimada, H. (1998)
Balkan Journal of Geometry and its Applications (BJGA)
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A. Tayebi, H. Sadeghi (2015)
Annales Polonici Mathematici
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We study one of the open problems in Finsler geometry presented by Matsumoto-Shimada in 1977, about the existence of a concrete P-reducible metric, i.e. one which is not C-reducible. In order to do this, we study a class of Finsler metrics, called generalized P-reducible metrics, which contains the class of P-reducible metrics. We prove that every generalized P-reducible (α,β)-metric with vanishing S-curvature reduces to a Berwald metric or a C-reducible metric. It follows that there...
Konik, Tadeusz (2003)
Balkan Journal of Geometry and its Applications (BJGA)
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Nicolaescu, Brânduşa (2001)
APPS. Applied Sciences
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Gelişgen, Özcan, Kaya, Rüstem (2006)
APPS. Applied Sciences
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