Results 11 to 20 of about 44 (43)
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
wiley +1 more source
On generalized P-reducible Finsler manifolds
Open Mathematics, 2018 The class of generalized P-reducible manifolds (briefly GP-reducible manifolds) was first introduced by Tayebi and his collaborates [1]. This class of Finsler manifolds contains the classes of P-reducible manifolds, C-reducible manifolds and Landsberg ...
Zamanzadeh Seyyed Mohammad +2 more
doaj +1 more source
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
wiley +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Berwald Covariant Derivative and Lie Derivative of Conharmonic Curvature Tensors in Generalized Fifth Recurrent Finsler Space [PDF]
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
core +1 more source
Mean Value Property Related to the Finsler p-Laplacian
Abstract and Applied AnalysisMSC2020 Classification: 35A08, 35B05,35J60 ...
Benyam Mebrate
doaj +1 more source
Nonlinear Obata type equation on Finsler manifolds without boundary
Open MathematicsWe show that if there is a nonconstant function f ∈ C 1,α (M) satisfying the Obata equation on a Finsler n-manifold (M, F), then (M, F) is isometric to a Finsler n-sphere.
Wang Huarong
doaj +1 more source