Projective Einstein Finsler metrics.
Sadeghzadeh, N., Rezaei, B., Razavi, A. (2008)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Sadeghzadeh, N., Rezaei, B., Razavi, A. (2008)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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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...
Shen, Zhongmin
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Tayebi, Akbar, Peyghan, Esmaeil (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Anastasiei, M., Shimada, H. (1998)
Balkan Journal of Geometry and its Applications (BJGA)
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Constantinescu, Oana, Crasmareanu, Mircea (2009)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Gîrţu, Valentin, Gîrţu, Monica (1997)
Balkan Journal of Geometry and its Applications (BJGA)
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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...
Bácsó, Sándor, Szilágyi, Brigitta (2002)
Mathematica Pannonica
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Libing Huang, Xiaohuan Mo (2013)
Annales Polonici Mathematici
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We study Finsler metrics with orthogonal invariance. By determining an expression of these Finsler metrics we find a PDE equivalent to these metrics being locally projectively flat. After investigating this PDE we manufacture projectively flat Finsler metrics with orthogonal invariance in terms of error functions.
Hojo, Shun-ichi, Matsumoto, M., Okubo, K. (2000)
Balkan Journal of Geometry and its Applications (BJGA)
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Beil, R.G. (1997)
Balkan Journal of Geometry and its Applications (BJGA)
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