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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Kim, Chang-Wan (2008)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Vincze, Csaba (2005)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Aurel Bejancu, Hani Reda Farran (2011)
Publications de l'Institut Mathématique
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Bing Ye Wu (2013)
Annales Polonici Mathematici
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We investigate the curvature and topology of Finsler manifolds, mainly the growth of the fundamental group. By choosing a new counting function for the fundamental group that does not rely on the generators, we are able to discuss the topic in a more general case, namely, we do not demand that the manifold is compact or the fundamental group is finitely generated. Among other things, we prove that the fundamental group of a forward complete and noncompact Finsler n-manifold (M,F) with...
Bing-Ye Wu (2014)
Annales Polonici Mathematici
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We consider the distance to compact submanifolds and study volume comparison for tubular neighborhoods of compact submanifolds. As applications, we obtain a lower bound for the length of a closed geodesic of a compact Finsler manifold. When the Finsler metric is reversible, we also provide a lower bound of the injectivity radius. Our results are Finsler versions of Heintze-Karcher's and Cheeger's results for Riemannian manifolds.
Vincze, Cs.
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Toda, M., Udrişte, C. (1999)
Balkan Journal of Geometry and its Applications (BJGA)
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Szakál, Sz.
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Some special linear connection introduced in the Finsler space by Ichijyō has the property that the curvature tensors under conformal changes remain invariant. Two Ichijyō manifolds and are said to be conformally equivalent if , .It is proved, that in this case, the following assertions are equivalent: 1. is constant, 2. , 3. , 4. .It is also proved (when the above conditions are satisfied) that1. If is a generalized Berwald manifold, then is also a generalized Berwald...
Szilasi, József, Vincze, Csaba (2000)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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