Results 1 to 10 of about 108 (16)
Certain Conditions for a Finsler Manifold to Be Isometric with a Finsler Sphere
Analysis and Geometry in Metric Spaces, 2022 We show that if there is a smooth function f on a Finsler n-space M satisfying Δ2f = −kfgΔf for a positive constant k, then M is diffeomorphic with the n-sphere 𝕊n, where g denotes the weighted Riemannian metric.
Yin Songting, Wang Huarong
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The warped product of holomorphic Lie algebroids
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 We introduce the warped product of two holomorphic Finsler algebroids and we define a complex Finsler function on it. We study the Chern-Finsler connections of the bundles and of their product and we investigate their curvatures.
Ionescu Alexandru, Munteanu Gheorghe
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A gradient-type deformation of conics and a class of Finslerian flows
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 The aim of this paper is to produce new examples of Riemannian and Finsler structures having as model a scalar deformation of conics inspired by the scaling transformation.
Crasmareanu Mircea
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Geometry of product complex Cartan manifolds
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 In this paper we consider the product of two complex Cartan manifolds, the outcome being a class of product complex Cartan spaces. Then, we study the relationships between the geometric objects of a product complex Cartan space and its components, (e.g ...
Aldea Nicoleta, Munteanu Gheorghe
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On compact Ricci solitons in Finsler geometry [PDF]
, 2015 Ricci solitons on Finsler spaces, previously developed by the present authors, are a generalization of Einstein spaces, which can be considered as a solution to the Ricci flow on compact Finsler manifolds.
Ahmadi, Mohamad Yar, Bidabad, Behroz
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On Compact Finsler Spaces of Positive Constant Curvature [PDF]
, 2011 An $n$-dimensional ($n\geq 2$) simply connected, compact without boundary Finsler space of positive constant sectional curvature is conformally homeomorphic to an n-sphere in the Euclidean space $\R^{n+1}$
Akbar-Zadeh +7 more
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Local extremality of the Calabi-Croke sphere for the length of the shortest closed geodesic [PDF]
, 2009 Recently, F. Balacheff proved that the Calabi-Croke sphere made of two flat 1-unit-side equilateral triangles glued along their boundaries is a local extremum for the length of the shortest closed geodesic among the Riemannian spheres with conical ...
Sabourau, Stephane
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On the flag curvature of Finsler metrics of scalar curvature [PDF]
, 2003 The flag curvature of a Finsler metric is called a Riemannian quantity because it is an extension of sectional curvature in Riemannian geometry. In Finsler geometry, there are several non-Riemannian quantities such as the (mean) Cartan torsion, the (mean)
Chen, Xinyue +2 more
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Topology of complete Finsler manifolds with radial flag curvature bounded below
, 2013 We recently established a Toponogov type triangle comparison theorem for a certain class of Finsler manifolds whose radial flag curvatures are bounded below by that of a von Mangoldt surface of revolution (arXiv:1205.3913).
Kondo, Kei +2 more
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Metric structures associated to Finsler metrics
, 2014 We investigate the relation between weighted quasi-metric Spaces and Finsler Spaces. We show that the induced metric of a Randers space with reversible geodesics is a weighted quasi-metric ...
Sabau, Sorin V. +2 more
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