Results 11 to 20 of about 42 (42)
Lagrange geometry on tangent manifolds
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 51, Page 3241-3266, 2003., 2003 Lagrange geometry is the geometry of the tensor field defined by the fiberwise Hessian of a nondegenerate Lagrangian function on the total space of a tangent bundle. Finsler geometry is the geometrically most interesting case of Lagrange geometry. In this paper, we study a generalization which consists of replacing the tangent bundle by a general ...
Izu Vaisman
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 We generalize the Zermelo navigation on Riemannian manifolds (M; h), admitting a space dependence of a ship's speed 0 < |u(x)|h ≤ 1 in the presence of a perturbation W̃ determined by a strong (critical) velocity vector field satisfying |W̃ (x)|h = |u(x ...
Kopacz Piotr
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The geometry of autonomous metrical multi‐time Lagrange space of electrodynamics
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 1, Page 7-15, 2002., 2002 The aim of this paper is to create a large geometrical background for the study of important branch of physics: electrodynamics, bosonic strings theory, magneto‐hydrodynamics, and so forth. The geometrical construction is realized on the 1‐jet fibre bundle J1(T, M) and is produced by a given quadratic multi‐time Lagrangian function L.
Mircea Neagu
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Typical geodesics on hyperbolic manifolds of dimension 2 [PDF]
, 2020 BALCAN, Vladimir. Typical geodesics on hyperbolic manifolds of dimension 2. In: Competitivitatea şi inovarea în economia cunoaşterii [online]: culegere de articole ştiinţifice: conf. şt. intern., 25-26 sept. 2020. Chişinău: ASEM, 2020, pp. 454-462.
Balcan, Vladimir
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Multiple Closed Geodesics on Positively Curved Finsler Manifolds
Advanced Nonlinear Studies, 2019 In this paper, we prove that on every Finsler manifold (M,F){(M,F)} with reversibility λ and flag curvature K satisfying (λλ+1 ...
Wang Wei
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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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Mean Value Property Related to the Finsler p-Laplacian
Abstract and Applied AnalysisMSC2020 Classification: 35A08, 35B05,35J60 ...
Benyam Mebrate
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This paper builds upon new define for the conharmonice curvature tensor in generaralized fifth recurrent Finsler space that Cartan’s fourth curvature tensor in sense of Berwald - via Lie derivative.
Abdallah, Alaa A. +2 more
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Metric properties of Hilbert geometry
, 1999 : A smooth bounded convex domain equipped with its Hilbert metric provides a nice example of Finsler manifold of constant negative curvature which extends the Klein model.
Edith Socie
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