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Relevant bibliographies by topics / Berwald space

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Academic literature on the topic 'Berwald space'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Berwald space"

1

WU, WEISHENG. "Higher rank rigidity for Berwald spaces." Ergodic Theory and Dynamical Systems 40, no. 7 (2018): 1991–2016. http://dx.doi.org/10.1017/etds.2018.130.

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We generalize the higher rank rigidity theorem to a class of Finsler spaces, i.e. Berwald spaces. More precisely, we prove that a complete connected Berwald space of finite volume and bounded non-positive flag curvature with rank at least two whose universal cover is irreducible is a locally symmetric space or a locally Minkowski space.

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2

Shanker, Gauree. "Four-dimensional Conformally Flat Berwald and Landsberg Spaces." Journal of the Indian Mathematical Society 85, no. 1-2 (2018): 241. http://dx.doi.org/10.18311/jims/2018/14930.

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The problem of conformal transformation and conformal flatness of Finsler spaces has been studied in [6], [16], [17], [20], [21]. Recently, Prasad et. al [19] have studied three dimensional conformally flat Landsberg and Berwald spaces and have obtained some important results. The purpose of the present paper is to extend the idea of conformal change to four dimensional Finsler spaces and find the suitable conditions under which a four dimensional conformally at Landsberg space becomes a Berwald space.

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3

Mishra, Meera, and R. K. Pandey. "On Randers Change of a Generalized Exponential Metric." InPrime: Indonesian Journal of Pure and Applied Mathematics 6, no. 2 (2024): 194–204. https://doi.org/10.15408/inprime.v6i2.40885.

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In this paper, we study the properties of a special (α, β)-metric e^(k1β/α)+βe^(k2*β/α), the Randers change of the generalized exponential metric. We find the necessary and sufficient condition for this metric to be locally projectively flat and we also prove the conditions for this metric to be of the Berwald and Douglas type.Keywords: Berwald space; Douglas space; Finsler space; -metric; projectively flat. AbstrakPada artikel ini akan dipelajari sifat-sifat khusus dari (α, β) -metric e^(k1β/α)+βe^(k2*β/α), perubahan Randers dari metrik eksponensial umum. Kami menemukan syarat perlu dan cukup

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4

Torrome, Ricardo Gallego. "Average structures associated to a Finsler space." Annals of the Alexandru Ioan Cuza University - Mathematics 70, no. 2 (2024): 133–56. https://doi.org/10.47743/anstim.2024.00010.

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Given a Finsler space (M, F ) on a manifold M , the averaging method associates to Finslerian geometric objects affine geometric objects living on M . In particular, a Riemannian metric is associated with the fundamental tensor g and an affine, torsion free connection is associated with the Chern-Rund connection. As an illustration of the applications of theory, a generalization of the Gauss-Bonnet theorem to Berwald surfaces using the average metric is presented. The parallel transport and curvature endomorphisms of the average connection are obtained. The holonomy group for a Berwald space i

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5

Ramesha, Maranna, та S. K. Narasimhamurthy. "Projectively Flat Finsler Space of Douglas Type with Weakly-Berwald (α,β)-Metric". International Journal of Pure Mathematical Sciences 18 (серпень 2017): 1–12. http://dx.doi.org/10.18052/www.scipress.com/ijpms.18.1.

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The present article is organized as follows: In the first part, we characterize the important class of special Finsler (α,β)-metric in the form ofL=α+α2/β, whereαis Riemannian metric andβis differential 1-form to be projectively flat. In the second part, we describe condition for a Finsler spaceFnwith an (α,β)-metric is of Douglas type. Further we investigate the necessary and sufficient condition for a Finsler space with an (α,β)-metric to be weakly-Berwald space and Berwald space.

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6

Al-Qashbari, Adel Mohammed Ali. "On generalized for curvature Tensor \(P_{jkh}^i\) of second order in Finsler space." University of Aden Journal of Natural and Applied Sciences 24, no. 1 (2022): 171–76. http://dx.doi.org/10.47372/uajnas.2020.n1.a14.

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In this present paper, we introduced a Finsler space \(F_n\) which Cartan’s second curvature tensor \(P_{jkh}^i\) satisfies the generalized birecurrence property with respect to Berwald’s connection parameters \(G_{kh}^i\) which given by the condition\(B_n B_m P_{jkh}^i = a_{mn} P_{jkh}^i + b_{mn} ( δ_h^i g_{jk} - δ_k^i g_jh ) - 2 μ_m B_r (δ_h^i C_{jkn} - δ_k^i C_{jhn} ) y^r ,P_jkh^i≠0,\)where \(B_n B_m\) is Berwald’ scovariant differential of second order with respect to \(x^m\) and \(x^n\), successively, \(μ_m\) is non-zero covariant vector field, \(a_{mn}\) and \(b_{mn}\) are non-zero recur

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7

Alhamadi, Khaled M., Fahmi Yaseen Qasem, and Meqdad Ahmed Ali. "Different types of decomposition for certain tensors in \(K^h-BR-F_n\) and \(K^h-BR\)-affinely connected space." University of Aden Journal of Natural and Applied Sciences 20, no. 2 (2016): 355–63. http://dx.doi.org/10.47372/uajnas.2016.n2.a10.

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In this paper we defined \(K^h\)-birecurrent space which is characterized by the condition\(K_jkh|m|l^i=a_lm K_jkh^i\) , \(K_jkh^i≠0\), also we introduced some decompositions of Cartan's fourth and third curvature tensor and Berwald curvature tensor and its torsion tensor. The aim of this paper is devoted to the discussion of decomposition for different tensors in \(K^h\)-birecurrent space and \(K^h\)-birecurrent affinely connected space and the decomposition of curvature tensor Cartan's fourth and third in \(K^h\)-birecurrent space, also the decomposition of curvature tensor of Berwald in \(K

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8

Pandey, T. N., and V. K. Chaubey. "On Finsler Spaces with a Quartic Metric." Journal of the Tensor Society 2, no. 00 (2008): 37–47. http://dx.doi.org/10.56424/jts.v2i00.9958.

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The purpose of present paper is to study spaces with a quartic metric from the standpoint of Finsler Geometry. The Paper deals with Berwald and Landsberg spaces among quartic Finsler Spaces. A Finsler connections defined in a quartic Finsler space from the standpoint of the generalized metric spaces

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9

Asanov, G. S. "Finsleroid-regular space. Gravitational metric. Berwald case." Reports on Mathematical Physics 62, no. 1 (2008): 103–28. http://dx.doi.org/10.1016/s0034-4877(08)80037-7.

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10

Alaa, A. Abdallah, M. Al-Qashbari Adel, and M. Baleedi Saeedah. "Berwald Covariant Derivative and Lie Derivative of Conharmonic Curvature Tensors in Generalized Fifth Recurrent Finsler Space." GPH - International Journal of Mathematics 8, no. 01 (2025): 24–32. https://doi.org/10.5281/zenodo.14836508.

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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 <em>-</em>  via Lie derivative. We define a new conharmonic curvature tensor and explore its relationships with other established curvature tensors. Through various mathematical operations, including the Berwald covariant derivative and the Lie derivative, we derive new expressions for the conharmonic tensor and its interactions with other curvature tensors. The main results include the commutativity of

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Book chapters on the topic "Berwald space"

1

Bao, D., S. S. Chern, and Z. Shen. "Berwald Spaces and Szabó’s Theorem for Berwald Surfaces." In Graduate Texts in Mathematics. Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-1268-3_10.

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