Academic literature on the topic 'Finsler'

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Journal articles on the topic "Finsler"

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LI, JINTANG. "STABLE HARMONIC MAPS BETWEEN FINSLER MANIFOLDS AND SSU MANIFOLDS." Communications in Contemporary Mathematics 14, no. 03 (2012): 1250015. http://dx.doi.org/10.1142/s0219199712500150.

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Using the properties of Cartan tensor, we rewrite the second variation formula for harmonic maps between Finsler manifolds, and we prove that there is no non-degenerate stable harmonic map from a compact SSU manifold to any Finsler manifold, which is obtained by Howard and Wei for the Riemannian case. We also include a proof of a theorem of Shen–Wei which states that there is no non-degenerate stable harmonic map from a compact Finsler manifold to any SSU manifold, by the same second variational formula (see Eq. (2.1) in [Y. B. Shen and S. W. Wei, The stability of harmonic maps on Finster mani
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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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Xia, Hongchuan, and Chunping Zhong. "On complex Berwald metrics which are not conformal changes of complex Minkowski metrics." Advances in Geometry 18, no. 3 (2018): 373–84. http://dx.doi.org/10.1515/advgeom-2017-0062.

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AbstractWe investigate a class of complex Finsler metrics on a domain D ⊂ ℂn. Necessary and sufficient conditions for these metrics to be strongly pseudoconvex complex Finsler metrics, or complex Berwald metrics, are given. The complex Berwald metrics constructed in this paper are neither trivial Hermitian metrics nor conformal changes of complex Minkowski metrics. We give a characterization of complex Berwald metrics which are of isotropic holomorphic curvatures, and also give characterizations of complex Finsler metrics of this class to be Kähler Finsler or weakly Kähler Finsler metrics. Mor
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Minas, Georgios, Emmanuel Saridakis, Panayiotis Stavrinos, and Alkiviadis Triantafyllopoulos. "Bounce Cosmology in Generalized Modified Gravities." Universe 5, no. 3 (2019): 74. http://dx.doi.org/10.3390/universe5030074.

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We investigate the bounce realization in the framework of generalized modified gravities arising from Finsler and Finsler-like geometries. In particular, a richer intrinsic geometrical structure is reflected in the appearance of extra degrees of freedom in the Friedmann equations that can drive the bounce. We examine various Finsler and Finsler-like constructions. In the cases of general very special relativity, as well as of Finsler-like gravity on the tangent bundle, we show that a bounce cannot easily be obtained. However, in the Finsler–Randers space, induced scalar anisotropy can fulfil b
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Yallappa Kumbar, Mallikarjun, Narasimhamurthy Senajji Kampalappa, Thippeswamy Komalobiah Rajanna та Kavyashree Ambale Rajegowda. "Killing Vector Fields in Generalized Conformalβ-Change of Finsler Spaces". Journal of Mathematics 2015 (2015): 1–5. http://dx.doi.org/10.1155/2015/456291.

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We consider a Finsler space equipped with a Generalized Conformalβ-change of metric and study the Killing vector fields that correspond between the original Finsler space and the Finsler space equipped with Generalized Conformalβ-change of metric. We obtain necessary and sufficient condition for a vector field Killing in the original Finsler space to be Killing in the Finsler space equipped with Generalized Conformalβ-change of metric.
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Hohmann, Manuel, Christian Pfeifer, and Nicoleta Voicu. "Cosmological Finsler Spacetimes." Universe 6, no. 5 (2020): 65. http://dx.doi.org/10.3390/universe6050065.

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Applying the cosmological principle to Finsler spacetimes, we identify the Lie Algebra of symmetry generators of spatially homogeneous and isotropic Finsler geometries, thus generalising Friedmann-Lemaître-Robertson-Walker geometry. In particular, we find the most general spatially homogeneous and isotropic Berwald spacetimes, which are Finsler spacetimes that can be regarded as closest to pseudo-Riemannian geometry. They are defined by a Finsler Lagrangian built from a zero-homogeneous function on the tangent bundle, which encodes the velocity dependence of the Finsler Lagrangian in a very sp
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VACARU, SERGIU I. "PRINCIPLES OF EINSTEIN–FINSLER GRAVITY AND PERSPECTIVES IN MODERN COSMOLOGY." International Journal of Modern Physics D 21, no. 09 (2012): 1250072. http://dx.doi.org/10.1142/s0218271812500721.

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We study the geometric and physical foundations of Finsler gravity theories with metric compatible connections defined on tangent bundles, or (pseudo) Riemannian manifolds, endowed with nonholonomic frame structure. Several generalizations and alternatives to Einstein gravity are considered, including modifications with broken local Lorentz invariance. It is also shown how such theories (and general relativity) can be equivalently re-formulated in Finsler like variables. We focus on prospects in modern cosmology and Finsler acceleration of Universe. Einstein–Finsler gravity theories are elabor
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Feng, Huitao, Kefeng Liu, and Xueyuan Wan. "Chern forms of holomorphic Finsler vector bundles and some applications." International Journal of Mathematics 27, no. 04 (2016): 1650030. http://dx.doi.org/10.1142/s0129167x16500300.

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In this paper, we present two kinds of total Chern forms [Formula: see text] and [Formula: see text] as well as a total Segre form [Formula: see text] of a holomorphic Finsler vector bundle [Formula: see text] expressed by the Finsler metric [Formula: see text], which answers a question of Faran [The equivalence problem for complex Finsler Hamiltonians, in Finsler Geometry, Contemporary Mathematics, Vol. 196 (American Mathematical Society, Providence, RI, 1996), pp. 133–144] to some extent. As some applications, we show that the signed Segre forms [Formula: see text] are positive [Formula: see
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Deng, Shaoqiang. "An Algebraic Approach to Weakly Symmetric Finsler Spaces." Canadian Journal of Mathematics 62, no. 1 (2010): 52–73. http://dx.doi.org/10.4153/cjm-2010-004-x.

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AbstractIn this paper, we introduce a new algebraic notion, weakly symmetric Lie algebras, to give an algebraic description of an interesting class of homogeneous Riemann-Finsler spaces, weakly symmetric Finsler spaces. Using this new definition, we are able to give a classification of weakly symmetric Finsler spaces with dimensions 2 and 3. Finally, we show that all the non-Riemannian reversible weakly symmetric Finsler spaces we find are non-Berwaldian and with vanishing S-curvature. Thismeans that reversible non-Berwaldian Finsler spaces with vanishing S-curvaturemay exist at large. Hence t
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Duval, C. "Finsler Spinoptics." Communications in Mathematical Physics 283, no. 3 (2008): 701–27. http://dx.doi.org/10.1007/s00220-008-0573-7.

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Dissertations / Theses on the topic "Finsler"

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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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Solórzano, Chávez Newton Mayer. "Métricas de Finsler esfericamente simétricas." reponame:Repositório Institucional da UnB, 2015. http://dx.doi.org/10.26512/2015.03.T.18517.

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Tese (doutorado)—Universidade de Brasília, Instituto de Ciências Exatas, 2015.<br>Submitted by Ana Cristina Barbosa da Silva (annabds@hotmail.com) on 2015-07-06T14:30:58Z No. of bitstreams: 1 2015_NewtonMayerSolorzanoChavez.pdf: 713834 bytes, checksum: fa5dcfcc4bcd42f4b02d1ce4b3e3f95b (MD5)<br>Approved for entry into archive by Raquel Viana(raquelviana@bce.unb.br) on 2015-08-18T12:21:50Z (GMT) No. of bitstreams: 1 2015_NewtonMayerSolorzanoChavez.pdf: 713834 bytes, checksum: fa5dcfcc4bcd42f4b02d1ce4b3e3f95b (MD5)<br>Made available in DSpace on 2015-08-18T12:21:50Z (GMT). No. of bitstreams: 1
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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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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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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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CHIMENTON, ALESSANDRO GAIO. "TRANSITIVE FINSLER GEODESIC OWS AND APPLICATIONS." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2015. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=26523@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO<br>COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR<br>CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO<br>PROGRAMA DE SUPORTE À PÓS-GRADUAÇÃO DE INSTS. DE ENSINO<br>Neste trabalho provamos que o fluxo geodésico de uma variedade Finsler de dimensão n compacta, sem pontos conjugados e que é uma variedade de visibilidade uniforme é transitivo. Para isso, introduzimos versões Finsler dos conceitos de hiperbolicidade de Gromov e visibilidade de Eberlein e estudamos suas consequências. Como aplicação da transitividade, prov
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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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Raeisidehkordi, Hengameh. "Finsler Transnormal Functions and Singular Foliations of Codimension 1." Universidade de São Paulo, 2018. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-05042018-210826/.

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Transnormal functions are generalization of distance functions and this topic has some applications in Physics and real world problems. In this work, some results are generalized from Riemannian case to the Finsler one. Moreover certain new phenomena that happen only in Finsler spaces are discussed. To have a better understanding, certain examples based on the mentioned results in Randers spaces are provided. Moreover, some applications on propagation of waves of fire and water are introduced<br>As funções transnormais são a generalização da função de distância e este tópico tem algumas aplica
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Carmo, Antônio Santos do. "Algumas aplicações da geometria de Finsler na gravidade bimétrica." reponame:Repositório Institucional da UnB, 2017. http://repositorio.unb.br/handle/10482/23540.

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Dissertação (mestrado)—Universidade de Brasília, Instituto de Física, Programa de Pós-Graduação em Física, 2017.<br>Submitted by Raquel Almeida (raquel.df13@gmail.com) on 2017-05-18T21:09:16Z No. of bitstreams: 1 2017_AntônioSantosdoCarmo.pdf: 738956 bytes, checksum: ad9008e1e86cc9b2bc7bf9d2e28186c8 (MD5)<br>Approved for entry into archive by Raquel Viana (raquelviana@bce.unb.br) on 2017-05-19T21:27:15Z (GMT) No. of bitstreams: 1 2017_AntônioSantosdoCarmo.pdf: 738956 bytes, checksum: ad9008e1e86cc9b2bc7bf9d2e28186c8 (MD5)<br>Made available in DSpace on 2017-05-19T21:27:15Z (GMT). No. of bitstr
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Books on the topic "Finsler"

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Cheng, Xinyue, and Zhongmin Shen. Finsler Geometry. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-24888-7.

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Bao, David, Shiing-shen Chern, and Zhongmin Shen, eds. Finsler Geometry. American Mathematical Society, 1996. http://dx.doi.org/10.1090/conm/196.

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

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Foundations of Finsler geometry and special Finsler spaces. Kaiseisha Press, 1986.

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Chern, Shiing-Shen. Riemann-Finsler geometry. World Scientific, 2005.

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

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1963-, Shen Zhongmin, ed. Riemann-Finsler geometry. World Scientific, 2005.

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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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Lectures on Finsler geometry. World Scientific, 2001.

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

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Book chapters on the topic "Finsler"

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Antonelli, P. L., R. S. Ingarden, and M. Matsumoto. "Finsler Metrics." In The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-015-8194-3_2.

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Shimada, Hideo, and Vasile Sorin SabĂu. "Finsler Geometry." In Finslerian Geometries. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-011-4235-9_3.

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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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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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Antonelli, P. L. "Finsler Spaces." In Handbook of Finsler Geometry. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-007-0942-3_11.

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Antonelli, P. L. "Finsler Metrics." In Handbook of Finsler Geometry. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-007-0942-3_31.

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Duplij, Steven, Steven Duplij, Paulius Miškinis, et al. "Finsler Superspace." In Concise Encyclopedia of Supersymmetry. Springer Netherlands, 2004. http://dx.doi.org/10.1007/1-4020-4522-0_194.

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Bejancu, Aurel, and Hani Reda Farran. "Finsler Surfaces." In Geometry of Pseudo-Finsler Submanifolds. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-015-9417-2_6.

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Cheng, Xinyue, and Zhongmin Shen. "Randers Spaces." In Finsler Geometry. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-24888-7_1.

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Conference papers on the topic "Finsler"

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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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Mebarki, N. "Towards a Finsler quantum cosmology." In THE 8TH INTERNATIONAL CONFERENCE ON PROGRESS IN THEORETICAL PHYSICS (ICPTP 2011). AIP, 2012. http://dx.doi.org/10.1063/1.4715408.

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Chaffey, Thomas L., and Ian R. Manchester. "Control Contraction Metrics on Finsler Manifolds." In 2018 Annual American Control Conference (ACC). IEEE, 2018. http://dx.doi.org/10.23919/acc.2018.8431247.

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Brandt, Howard E. "Finsler metrics in quantum circuit optimization." In SPIE Defense, Security, and Sensing. SPIE, 2012. http://dx.doi.org/10.1117/12.918323.

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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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Edwards, Benjamin R. "Lorentz Violation and Riemann–Finsler Geometry." In Eighth Meeting on CPT and Lorentz Symmetry. WORLD SCIENTIFIC, 2020. http://dx.doi.org/10.1142/9789811213984_0037.

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Agnes, Mester, and Kristaly Alexandru. "A bipolar Hardy inequality on Finsler manifolds." In 2019 IEEE 13th International Symposium on Applied Computational Intelligence and Informatics (SACI). IEEE, 2019. http://dx.doi.org/10.1109/saci46893.2019.9111497.

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MEBARKI, N., and M. Y. BOUDJADA. "HIGHER OREDER CURVATURE GRAVITY IN FINSLER GEOMETRY." In Proceedings of the MG12 Meeting on General Relativity. WORLD SCIENTIFIC, 2012. http://dx.doi.org/10.1142/9789814374552_0218.

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Foster, J., and R. Lehnert. "Construction and Solution of Classical Finsler Systems." In Seventh Meeting on CPT and Lorentz Symmetry. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813148505_0068.

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ZHONG, CHUNPING, and TONGDE ZHONG. "HODGE-LAPLACE OPERATOR ON COMPLEX FINSLER MANIFOLDS." In Proceedings of a Satellite Conference to the International Congress of Mathematicians in Beijing 2002. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812702500_0024.

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Reports on the topic "Finsler"

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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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