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Relevant bibliographies by topics / Two-dimensional Finsler space

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Academic literature on the topic 'Two-dimensional Finsler space'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Two-dimensional Finsler space"

1

Kumari, Bindu, and Ekta Srivastava. "On P2-Like Finsler Spaces." Journal of the Tensor Society 3, no. 00 (2009): 49–58. http://dx.doi.org/10.56424/jts.v3i01.9971.

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In the present paper we have discussed a special form of (v) hvtorsion tensor Pijk given by Pijk = \lamda X_i X_j X_k , where X_i are covariant components of unit vectors, is a scalar function of x,y in a finsler space. Since of every two dimensional Finsler space may be written in the form, we shall say an n-dimensional Finsler space (n ) as P2-like Finsler space whose is of this form. The values and are obtained in the terms of main scalars and h-connection vectors with respect to orthonormal frame in three and four dimensional P2-like Finsler spaces

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2

Kumari, Bindu, and Ekta Srivastava. "On P2-Like Finsler Spaces." Journal of the Tensor Society 3, no. 01 (2009): 49–58. http://dx.doi.org/10.56424/jts.v3i00.9971.

Full text

Abstract:

In the present paper we have discussed a special form of (v) hvtorsion tensor Pijk given by Pijk = \lamda X_i X_j X_k , where X_i are covariant components of unit vectors, is a scalar function of x,y in a finsler space. Since of every two dimensional Finsler space may be written in the form, we shall say an n-dimensional Finsler space (n ) as P2-like Finsler space whose is of this form. The values and are obtained in the terms of main scalars and h-connection vectors with respect to orthonormal frame in three and four dimensional P2-like Finsler spaces

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3

Dokur, Emrah, Salim Ceyhan, and Mehmet Kurban. "Finsler Geometry for Two-Parameter Weibull Distribution Function." Mathematical Problems in Engineering 2017 (2017): 1–6. http://dx.doi.org/10.1155/2017/9720946.

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To construct the geometry in nonflat spaces in order to understand nature has great importance in terms of applied science. Finsler geometry allows accurate modeling and describing ability for asymmetric structures in this application area. In this paper, two-dimensional Finsler space metric function is obtained for Weibull distribution which is used in many applications in this area such as wind speed modeling. The metric definition for two-parameter Weibull probability density function which has shape (k) and scale (c) parameters in two-dimensional Finsler space is realized using a different

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4

Huang, Libing, and Xiaohuan Mo. "On Finsler surfaces of constant curvature with two-dimensional isometry group." International Journal of Mathematics 26, no. 07 (2015): 1550046. http://dx.doi.org/10.1142/s0129167x15500469.

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In this paper, we study Finsler surfaces of constant (flag) curvature. We show that the space of those, with two-dimensional isometric group depends on two arbitrary constants. We also give a new technique to recover Finsler metrics from the specified two constants. Using this technique we obtain some new Finsler surfaces of constant flag curvature with two-dimensional isometry group.

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5

MUNTEANU, GHEORGHE, and NICOLETA ALDEA. "A COMPLEX FINSLER APPROACH OF GRAVITY." International Journal of Geometric Methods in Modern Physics 09, no. 07 (2012): 1250058. http://dx.doi.org/10.1142/s0219887812500582.

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In this paper our aim is mainly to obtain a two-dimensional complex Finsler model of the real gravitation space-time. We prove that, at least in the special case of the weakly gravitational field, this is possible and it leads to some interesting geometrical and physical aspects, such as the study of curvature invariants with respect to complex Berwald frame, intensively studied recently by us for a two-dimensional complex Finsler space. A generalization of the Klein–Gordon equation is proposed and we find solutions which are in concordance to the classical plane wave solution of momentum-ener

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6

Tripathi, Brijesh Kumar, and K. B. Pandey. "Equations of geodesics in two dimensional Finsler space with special (?,?)-metric." New Trends in Mathematical Science 2, no. 7 (2019): 237–43. http://dx.doi.org/10.20852/ntmsci.2019.362.

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7

Matsumoto, Makoto. "The inverse problem of variation calculus in two-dimensional Finsler space." Journal of Mathematics of Kyoto University 29, no. 3 (1989): 489–96. http://dx.doi.org/10.1215/kjm/1250520222.

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8

Zaripov, R. G. "Geometry of entropy functions in the extended parastatistics of non-extensive systems." Izvestiya vysshikh uchebnykh zavedenii. Fizika, no. 5 (2021): 136–40. http://dx.doi.org/10.17223/00213411/64/5/136.

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The group of functions of parametric quantum entropy in extended parastatistics of nonextensive systems is determined. The metric function of Finsler geometry in the two-dimensional space of entropy functions is introduced.

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9

Cvetkovic, Milica, and Milan Zlatanovic. "New Cartan’s tensors and pseudotensors in a generalized Finsler space." Filomat 28, no. 1 (2014): 107–17. http://dx.doi.org/10.2298/fil1401107c.

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In this work we defined a generalized Finsler space (GFN) as 2N-dimensional differentiable manifold with a non-symmetric basic tensor gij(x,x?), which applies that gij_?|m(x,x?)=0; ?=1,2. Based on non-symmetry of basic tensor, we obtained ten Ricci type identities, comparing to two kinds of covariant derivative of a tensor in Rund?s sense. There appear two new curvature tensors and fifteen magnitudes, we called ?curvature pseudotensors?.

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10

CASTRO, CARLOS. "GRAVITY IN CURVED PHASE-SPACES, FINSLER GEOMETRY AND TWO-TIMES PHYSICS." International Journal of Modern Physics A 27, no. 12 (2012): 1250069. http://dx.doi.org/10.1142/s0217751x12500698.

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The generalized (vacuum) field equations corresponding to gravity on curved 2d-dimensional (dim) tangent bundle/phase spaces and associated with the geometry of the (co)tangent bundle TMd-1, 1(T*Md-1, 1) of a d-dim space–time Md-1, 1 are investigated following the strict distinguished d-connection formalism of Lagrange–Finsler and Hamilton–Cartan geometry. It is found that there is no mathematical equivalence with Einstein's vacuum field equations in space–times of 2d dimensions, with two times, after a d+d Kaluza–Klein-like decomposition of the 2d-dim scalar curvature R is performed and invol

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