Generalized curvature tensors on conformally symmetric manifolds
W. Roter (1978)
Colloquium Mathematicae
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W. Roter (1978)
Colloquium Mathematicae
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Aldea, Nicoleta (2006)
Balkan Journal of Geometry and its Applications (BJGA)
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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...
Ryszard Deszcz (1992)
Publications de l'Institut Mathématique
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Kim, Chang-Wan (2008)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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H. Rund (1954)
Mathematische Annalen
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R.B. Misra (1972)
Mathematische Zeitschrift
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P. Mellon (1996)
Mathematica Scandinavica
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Jintang Li (2010)
Annales Polonici Mathematici
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We study the stability of harmonic maps between Finsler manifolds and Riemannian manifolds with positive Ricci curvature, and we prove that if Mⁿ is a compact Einstein Riemannian minimal submanifold of a Riemannian unit sphere with Ricci curvature satisfying , then there is no non-degenerate stable harmonic map between M and any compact Finsler manifold.
Bing Ye Wu (2010)
Archivum Mathematicum
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In this paper we study some rigidity properties for Finsler manifolds of sectional flag curvature. We prove that any Landsberg manifold of non-zero sectional flag curvature and any closed Finsler manifold of negative sectional flag curvature must be Riemannian.
I. Čomić (1977)
Matematički Vesnik
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J.J. Duistermaat, J.A.C. Kolk (1979)
Inventiones mathematicae
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