Relevant bibliographies by topics / Finsler Space

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Finsler Space'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Finsler Space"

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Prasad, B. N., T. N. Pandey, and Manoj Kumar Singh. "On Four Dimensional Finsler Space Satisfying T-Conditions." Journal of the Tensor Society 4, no. 01 (2007): 21–31. http://dx.doi.org/10.56424/jts.v4i01.10427.

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The purpose of the present paper is to consider the four dimensional Finsler spaces with Thijk = 0 and generalize the idea of Landsberg angle to four dimensional Finsler spaces. The properties of a Finsler space satisfying T−condition has been studied in a three dimensional Finsler space by various authors ([2], [3], [4], [8], [10]). But from the relativistic point of view the importance of four dimensional Finsler space is not negligible. In relativity the fourth coordinate is taken as time, from this point of view we discuss the properties of four dimensional Finsler space satisfying T−condi
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Al-Qashbari, Adel M., Alaa A. Abdallah та Kamal S. Nasr. "An Extension of Generalized 𝑼|𝒉−Birecurrent Finsler Space". International Journal of Mathematics and Statistics Invention 12, № 5 (2024): 21–25. http://dx.doi.org/10.35629/4767-12052125.

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This paper has focuses on a specific class of Finsler spaces known as generalized birecurrent Finsler space. By introducing a new geometric structure, we investigate the properties of these spaces and establish several theorems. Our results generalize previous work on birecurrent Finsler spaces and provide a deeper understanding of their geometry. In this paper, we introduced an extension of the generalized 𝑈−birecurrent Finsler spaces. i.e., we define a Finsler space 𝐹𝑛 which the curvature tensor 𝑈𝑗𝑘ℎ𝑖 satisfies the extension for generalized birecurrence property in sense of Cartan. Further,
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Qasem, Fahmi Yaseen Abdo, and Kamal Salem Naji Nasr. "Analysis for Cartan’s fourth curvature Tensor in Finsler space." University of Aden Journal of Natural and Applied Sciences 22, no. 2 (2018): 447–54. http://dx.doi.org/10.47372/uajnas.2018.n2.a17.

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In this paper we discussed decomposition for the curvature tensor \(K_{jkh}^i\) of three cases in generalized Kh–recurrent Finsler space, Kh–birecurrent Finsler space and Kh– trirecurrent Finsler space, some results have been obtained in such space, different identities concerning the above spaces.
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Mandal, Khageswar. "The Β-Change by Finsler Metric of C-Reducible Finsler Spaces in Finsler Geometry". Tribhuvan University Journal 33, № 1 (2019): 1–10. http://dx.doi.org/10.3126/tuj.v33i1.28674.

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This paper considered about the β-Change of Finsler metric L given by L*= f(L, β), where f is any positively homogeneous function of degree one in L and β and obtained the β-Change by Finsler metric of C-reducible Finsler spaces. Also further obtained the condition that a C-reducible Finsler space is transformed to a C-reducible Finsler space by a β-change of Finsler metric.
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Gupta, M. K., Suman Sharma, Fatemah Mofarreh, and Sudhakar Kumar Chaubey. "Curvatures on Homogeneous Generalized Matsumoto Space." Mathematics 11, no. 6 (2023): 1316. http://dx.doi.org/10.3390/math11061316.

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The curvature characteristics of particular classes of Finsler spaces, such as homogeneous Finsler spaces, are one of the major issues in Finsler geometry. In this paper, we have obtained the expression for S-curvature in homogeneous Finsler space with a generalized Matsumoto metric and demonstrated that the homogeneous generalized Matsumoto space with isotropic S-curvature has to vanish the S-curvature. We have also derived the expression for the mean Berwald curvature by using the formula of S-curvature.
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Shanker, Gauree. "The L-dual of a Generalized m-Kropina Space." Journal of the Tensor Society 5, no. 01 (2007): 15–25. http://dx.doi.org/10.56424/jts.v5i01.10445.

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In 1987, R. Miron introduced the concept of L-duality between Cartan spaces and Finsler spaces ([5]) : The geometry of higher order Finsler spaces were sudied in ([1] ; [8]) : The theory of higher order Lagrange and Hamilton spaces were discussed in ([6] ; [7] ; [9]) : Some special problems concerning the L- duality and classes of Finsler spaces were studied in ([3] ; [13]) : In ([2] ; [10] ; [11]) the L-duals of Randers, Kropina and Matsumoto space were introduced. The L-dual of an (®; ¯) Finsler space was introduced in [12] :In this paper we give the L-dual of a generalized m-Kropina Space.
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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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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.

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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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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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Kushwaha, Ramdayal Singh, та Gauree Shanker. "On the ℒ-duality of a Finsler space with exponential metric αeβ/α". Acta Universitatis Sapientiae, Mathematica 10, № 1 (2018): 167–77. http://dx.doi.org/10.2478/ausm-2018-0014.

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Abstract The (α, β)-metrics are the most studied Finsler metrics in Finsler geometry with Randers, Kropina and Matsumoto metrics being the most explored metrics in modern Finsler geometry. The ℒ-dual of Randers, Kropina and Matsumoto space have been introduced in [3, 4, 5], also in recent the ℒ-dual of a Finsler space with special (α, β)-metric and generalized Matsumoto spaces have been introduced in [16, 17]. In this paper, we find the ℒ-dual of a Finsler space with an exponential metric αeβ/α, where α is Riemannian metric and β is a non-zero one form.
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Dissertations / Theses on the topic "Finsler Space"

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Verovic, Patrick. "Entropies et métriques de Finsler." Grenoble 1, 1996. http://www.theses.fr/1996GRE10138.

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Pose au debut des annees 80 par a. Katok et m. Gromov, le probleme riemannien de l'entropie minimale a recu une reponse positive en 1994 grace aux resultats de g. Besson, g. Courtois et s. Gallot. Comme un prolongement de ce travail, l'objet de cette these est l'etude du minimum des entropies volumique et topologique pour les metriques de finsler qui constituent la plus petite extension de la geometrie de riemann. Les trois premiers chapitres conduisent a la construction explicite d'un contre-exemple general a la conjecture finslerienne de l'entropie volumique minimale sur les espaces riemanni
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Persson, Nicklas. "Shortest paths and geodesics in metric spaces." Thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-66732.

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This thesis is divided into three part, the first part concerns metric spaces and specically length spaces where the existence of shortest path between points is the main focus. In the second part, an example of a length space, the Riemannian geometry will be given. Here both a classical approach to Riemannian geometry will be given together with specic results when considered as a metric space. In the third part, the Finsler geometry will be examined both with a classical approach and trying to deal with it as a metric space.
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Arcostanzo, Marc. "Rigidité et prolongement au disque d'une distance sur le bord." Université Joseph Fourier (Grenoble), 1994. http://www.theses.fr/1994GRE10216.

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Etant donne une distance d sur le bord d'un disque de dimension deux, nous cherchons dans cette these a prolonger d en une distance sur le disque tout entier, de telle sorte que l'espace metrique obtenu soit un espace de longueur, par exemple une metrique riemannienne ou finslerienne. Le prolongement est dit rigide s'il est unique a isometrie pres. Des resultats de rigidite ont ete obtenus par r. Michel, j. P. Otal et c. B. Croke en se restreignant aux metriques riemanniennes. Nous prouvons ici la rigidite des metriques euclidiennes a singularites coniques de courbures negatives. Nous donnons
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Modayil, Joseph. "Landsberg spaces in Finsler geometry." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape9/PQDD_0019/MQ47072.pdf.

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Overath, Patrick [Verfasser]. "Minimal immersions in Finsler spaces / Patrick Overath." Aachen : Hochschulbibliothek der Rheinisch-Westfälischen Technischen Hochschule Aachen, 2014. http://d-nb.info/1058354485/34.

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Centore, Paul. "A mean-value Laplacian for Finsler spaces." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/nq41414.pdf.

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Cagil, Ayse. "Finsler Geometry And Its Applications Toelectromagnetism." Master's thesis, METU, 2003. http://etd.lib.metu.edu.tr/upload/4/1106350/index.pdf.

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In this thesis Finsler geometry is extensively reviewed. The geometrization of fields by a Finslerian approach is considered. Also unification of electrodynamics and gravitation with suitable Finslerian metrics is examined.
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Silva, Júnior Rinaldo Vieira da 1981. "Calculo estocastico em variedades Finsler." [s.n.], 2005. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306287.

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Orientador: Paulo Regis Caron Ruffino<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-04T02:49:45Z (GMT). No. of bitstreams: 1 SilvaJunior_RinaldoVieirada_M.pdf: 1586291 bytes, checksum: 8d01bdf434ecba2fb62a57725c46dd4a (MD5) Previous issue date: 2005<br>Resumo: Nesta dissertação fizemos um estudo da teoria de difusão em variedades Finsler, onde abor-damos o transporte paralelo estocástico, desenvolvimento estocástico de Cartan e Movimento Browniano. O objetivo principal é obter
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Holm, Christian. "The hyperspin structure of Einstein universes and their neutrino spectrum." Diss., Georgia Institute of Technology, 1987. http://hdl.handle.net/1853/29178.

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Otero, Diego Mano. "Geometria de Finsler, cálculo de variações e equação de onda." [s.n.], 2010. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306818.

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Orientadores: Carlos Eduardo Durán Fernandez, Márcio Antônio de Faria Rosa<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Cientifica<br>Made available in DSpace on 2018-08-16T14:48:33Z (GMT). No. of bitstreams: 1 ManoOtero_Diego_M.pdf: 1221591 bytes, checksum: 33ae6e3b671523a9602f3398e14d4fb7 (MD5) Previous issue date: 2010<br>Resumo: A motivação inicial deste trabalho foi tentar relacionar os conceitos de geometria de Finsler com situações físicas que temos uma certa dependência de direções no nosso espaço. Apresentamos o con
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Books on the topic "Finsler Space"

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Deng, Shaoqiang. Homogeneous Finsler Spaces. Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-4244-8.

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Deng, Shaoqiang. Homogeneous Finsler Spaces. Springer New York, 2012.

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Matsumoto, Makoto. Foundations of Finsler geometry and special Finsler spaces. Kaiseisha, 1986.

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Benjancu, Aurel. Finsler geometry and applications. Ellis Horwood, 1990.

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1963-, Shen Zhongmin, ed. Introduction to modern Finsler geometry. Higher Education Press Limited Company : World Scientific Publishing Co., 2016.

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Bao, David Dai-Wai. A sampler of Riemann-Finsler geometry. Cambridge University Press, 2010.

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Shen, Zhongmin. Differential Geometry of Spray and Finsler Spaces. Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-015-9727-2.

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Centore, Paul. A mean-value Laplacian for Finsler spaces. University of Toronto, 1998.

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Cheng, Xinyue. Finsler Geometry: An Approach via Randers Spaces. Springer Berlin Heidelberg, 2012.

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Brașov), National Seminar on Finsler and Lagrange Spaces (4th 1986 Universitatea din. The proceedings of the fourth National Seminar on Finsler and Lagrange Spaces. Universitatea din Brașov, 1986.

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Book chapters on the topic "Finsler Space"

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Crâşmăreanu, Mircea. "The Gaussian Curvature for the Indicatrix of a Generalized Lagrange Space." In Finsler and Lagrange Geometries. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0405-2_8.

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Sterbeţi, Cătălin, and Brânduşa Nicolaescu. "On the Almost Finslerian Lagrange Space of Second Order with (α, β) Metric." In Finsler and Lagrange Geometries. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0405-2_22.

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Dariescu, C., and Marina-Aura Dariescu. "On the Quantization of the Complex Scalar Fields in S3 x R Space-Time." In Lagrange and Finsler Geometry. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-015-8650-4_21.

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Shimada, Hideo, and Vasile Sorin Sabău. "On Corrected form of an Old Result: Necessary and Sufficient Conditions of a Randers Space to be of Constant Curvature." In Finsler and Lagrange Geometries. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0405-2_21.

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Chern, Shiing-Shen. "On the Euclidean Connections in a Finsler Space." In Springer Collected Works in Mathematics. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4614-9343-3_13.

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Chern, Shiing-shen. "On the Euclidean Connections in a Finsler Space." In Selected Papers. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-3546-0_13.

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Miron, Radu. "The Notion of Higher Order Finsler Space. Theory and Applications." In Finslerian Geometries. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-011-4235-9_17.

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Miron, Radu, and Mihai Anastasiei. "Finsler Spaces." In The Geometry of Lagrange Spaces: Theory and Applications. Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-0788-4_8.

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Shen, Zhongmin. "Finsler Spaces." In Differential Geometry of Spray and Finsler Spaces. Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-015-9727-2_3.

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Antonelli, P. L., and T. J. Zastawniak. "Finsler Spaces." In Fundamentals of Finslerian Diffusion with Applications. Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-011-4824-5_2.

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Conference papers on the topic "Finsler Space"

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He, Yong, and Xiaoying Lu. "An Induced Finsler Connection on the Sub-manifold in a Finsler Space." In 2010 Third International Conference on Information and Computing Science (ICIC). IEEE, 2010. http://dx.doi.org/10.1109/icic.2010.126.

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Abdallah, Alaa A., A. A. Navlekar, Kirtiwant P. Ghadle та Basel Hardan. "On Wjkhi in generalized 𝔅P−recurrent and birecurrent Finsler space". У 2ND INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS AND COMPUTATIONAL SCIENCES 2022 (ICAMCS-2022). AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0199494.

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Pavlov, D. G., Manuel de León, D. M. de Diego, and R. M. Ros. "Could Kinematical Effects in the CMB Prove Finsler Character of the Space-Time?" In MATHEMATICS AND ASTRONOMY: A JOINT LONG JOURNEY: Proceedings of the International Conference. AIP, 2010. http://dx.doi.org/10.1063/1.3506056.

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TAKANO, Yoshiro. "Some Topics and Trials on the Theory of Non-Local Fields: Theory of Fields in Finsler Spaces and Fluctuation of Space-Time." In Proceedings of the International School of Cosmology and Gravitation XVI Course. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812792938_0008.

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SCHNEIDER, ROLF. "CROFTON MEASURES IN PROJECTIVE FINSLER SPACES." In Proceedings of the International Conference. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812774644_0006.

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Tamássy, Lajos. "Distance functions of Finsler spaces and distance spaces." In Proceedings of the 10th International Conference on DGA2007. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812790613_0046.

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Solov'yov, A. V. "Renormalization of masses in pseudo-Finsler momentum spaces." In Twelfth Asia-Pacific International Conference on Gravitation, Astrophysics, and Cosmology. WORLD SCIENTIFIC, 2016. http://dx.doi.org/10.1142/9789814759816_0035.

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Voicu, Nicoleta, Manuel de León, D. M. de Diego, and R. M. Ros. "New Considerations on Einstein Equations in Pseudo-Finsler Spaces." In MATHEMATICS AND ASTRONOMY: A JOINT LONG JOURNEY: Proceedings of the International Conference. AIP, 2010. http://dx.doi.org/10.1063/1.3506066.

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Balan, V. "Constant mean curvature submanifolds in (α, β)–Finsler spaces". У Proceedings of the 10th International Conference on DGA2007. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812790613_0005.

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Saxena, Shivalika, P. N. Pandey, and Suresh K. Shukla. "Geometric objects recurrent in a direction and directionally recurrent Finsler spaces." In ADVANCEMENT IN MATHEMATICAL SCIENCES: Proceedings of the 2nd International Conference on Recent Advances in Mathematical Sciences and its Applications (RAMSA-2017). Author(s), 2017. http://dx.doi.org/10.1063/1.5008704.

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Reports on the topic "Finsler Space"

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Mikes, Josef, and Irena Hinterleitner. • One Remark on Variational Properties of Geodesics in Pseudoriemannian and Generalized Finsler Spaces. GIQ, 2012. http://dx.doi.org/10.7546/giq-9-2008-261-264.

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