Finsler Manifold
On conformally doubly warped product Finsler manifold
... The doubly warped product of Riemannian (semi-Riemannian) manifolds has been stud- ied by many authors, for example, we refer to [1–5]. Several applications to theoretical physics can be found in the literature. For ...
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On the vertical bundle of a pseudo Finsler manifold
... 1. Introduction. As it is well known, the vertical vector bundle VTM of a manifold M is an integrable distribution on the tangent bundle TM of M. The present paper is concerned with the study of the geometry of ...
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Physics on the Adiabatically Changed Finslerian Manifold and Cosmology
... a manifold supplied by Finsle- rian ...Finslerian manifold is well studied and can be found for example in textbooks [8] [9] and papers [10] ...on Finsler manifold suggested in ...the ...
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Volume of Geodesic Balls in Finsler Manifolds of Hyperbolic Type
... The paper is organized as follows: in Section 2, we recall some basic facts about the volume entropy of a compact Finsler manifold. Section 3 is devoted to the ideal boundary and the Gromov boundary of the ...
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3. Kenmotsu Pseudo-Metric Finsler Structures
... 1)-dimensional manifold, then we de- fine F 2n+1 = (M, M 0 , F ∗ ) indefinite Finsler manifold with fundamental function F ∗ on M 0 = T M \ θ(M ) vector bundle, where F ∗ is described as ...
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3.$f$-harmonic maps from Finsler manifolds
... of Finsler geometry are ...a Finsler manifold to a Riemannian manifold is introduced and the corresponding Euler-Lagrange equation is obtained via calculating the first variation formula of ...
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Energy β Conformal Change and Special Finsler Spaces
... In [2], we investigated intrinsically energy β-conformal change of the fundamental linear connections on the pullback bundle of a Finsler manifold, namely, the Cartan connection, the Ber[r] ...
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A special class of regular connections in Finsler geometry
... Such a connection is called the D-connection associated with the Finsler manifold ( M, L ) . Proof It is easy to show first that any regular connection D satisfying the conditions (a), (b), and (c) is ...
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Left Invariant Finsler Manifolds are Generalized Berwald
... the Finsler manifold (G , F ) starting at the identity element are also the one-parameter subgroups of the Lie group, hence (G, F ) and the Riemannian manifold (G, b g) have the same ...
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Finslerian Ricci Deformation and Conformal Metrics
... In this paper, we use the pulled-back bundle approach [2] to introduce a Finslerian horizontal Ricci flow, called Finslerian Ricci deformation. This approach is natural and is very important. The problem of construction ...
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A Geometric characterization of Finsler manifolds of constant curvature K=1
... of Finsler manifolds of constant curvature is one of the fundamental subjects in Finsler ...a Finsler manifold of constant curvature K is locally Minkowskian if K = 0 and Riemannian if K = ...
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Generalized Douglas-Weyl Finsler Metrics
... Let (M, F ) be a Finsler manifold. In local coordinates, a curve c(t) is a geodesic if and only if its coordinates (c i (t)) satisfy ¨ c i + 2G i ( ˙ c) = 0, where the local functions G i = G i (x, y) are ...
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On Holomorphic Curvature of Complex Finsler Square Metric
... represented as projection). In [1], Nicolta Aldea has obtained the characteriza- tion of the holomorphic bisectional curvature and gave the generalization of the holomorphic curvature of the complex Finsler spaces ...
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NONHOLONOMIC FRAMES FOR FINSLER SPACE WITH SPECIAL ( )-METRICS
... a Finsler space called Randers ...common Finsler idea to study the existence of a nonholonomic frame on the vertical subbundle V TM of the tangent bundle of a base manifold ...
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On Finsler s-manifolds
... Affine and Riemannian s−manifold were first defined in [18] following the introduction of generalized Riemannian symmetric spaces in [19]. They form a more general class than the symmetric spaces [11]. An isometry ...
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On the hypersurface of randers change of finsler square metric
... a Finsler space with the Randers chage of Matsumoto ...special Finsler space equipped with the metric function and here by inspiring the work of On the Hyper surface of a Finsler space with the ...
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Some comparison theorems and their applications in Finsler geometry
... years, Finsler geometry has developed rapidly in its global and analytic ...the Finsler setting. Among these issues, the Finsler-Laplacian is one of the most important and interesting ...the ...
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Infinitesimal Transformations In A Projective Symmetric Finsler Space
... In the present paper studies have been carried out with references to infinitesimal projective and special projective transformations and accordingly certain theorems and relations have been obtained in a projective ...
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Concircular π Vector Fields and Special Finsler Spaces
... in Finsler geo- metry, which generalizes the concept of a concircular vector field in Riemannian geometry and the concept of concurrent vector field in Finsler ...
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SOME PROPERTIES OF HYPERBOLIC CONTACT MANIFOLD IN A QUASI SASAKIAN MANIFOLD
... The hyperbolic contact manifold was given by Sasaki (1960), A. Al-Aqeel, A. Hamoli and M. D. Upadhyay (1987) have studied some properties of such manifold.CR-submanifold of a Kahlerian manifold has been ...
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