On the rectilinear extremals of geodesics in geometry.
Bácsó, Sándor, Szilágyi, Brigitta (2008)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Displaying similar documents to “Complex geodesics and Finsler metrics”
On the rectilinear extremals of geodesics in geometry.
Zermelo problem of navigation on Hermitian manifolds.
Aldea, Nicoleta (2008)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Critical point theorems on Finsler manifolds.
Kozma, László, Kristály, Alexandru, Varga, Csaba (2004)
Beiträge zur Algebra und Geometrie
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Finsler metrics with propierties of the Kobayashi metric on convex domains.
Myung-Yull Pang (1992)
Publicacions Matemàtiques
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The structure of complex Finsler manifolds is studied when the Finsler metric has the property of the Kobayashi metric on convex domains: (real) geodesics locally extend to complex curves (extremal disks). It is shown that this property of the Finsler metric induces a complex foliation of the cotangent space closely related to geodesics. Each geodesic of the metric is then shown to have a unique extension to a maximal totally geodesic complex curve Σ which has properties of extremal...
On special Berwald metrics.
Tayebi, Akbar, Peyghan, Esmaeil (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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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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Berwald-moor metrics and structural stability of conformally-deformed geodesic SODE.
Balan, Vladimir, Nicola, Ileana Rodica (2009)
APPS. Applied Sciences
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-complex Finsler spaces with -metric.
Aldea, Nicoleta, Purcaru, Monica (2008)
Novi Sad Journal of Mathematics
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The explicit construction of Einstein Finsler metrics with non-constant flag curvature.
Guo, Enli, Mo, Xiaohuan, Zhang, Xianqiang (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Some generalized comparison results in Finsler geometry and their applications
Yecheng Zhu, Wenming Hu (2013)
Archivum Mathematicum
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In this paper, we generalize the Hessian comparison theorems and Laplacian comparison theorems described in [16, 18], then give some applications under various curvature conditions.
Complex sprays and complex curves.
Colum Watt (2001)
Revista Matemática Complutense
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After defining what is meant by a complex spray X on a complex manifold M, we introduce the notion of a spray complex curve associated to X. Several equivalent formulations are derived and we give necessary and sufficient conditions for M to admit spray complex curves for X through each point and in each direction. Refinements of this result are then derived for some special cases, for example when X is the horizontal radial vector field associated to a complex Finsler metric. ...