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Littérature scientifique sur le sujet « Finsler norm »

Auteur : Grafiati

Publié le 2 juin 2025

Mis à jour le 31 juillet 2025

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Articles de revues sur le sujet "Finsler norm"

Mönkkönen, Keijo. "Boundary rigidity for Randers metrics." Annales Fennici Mathematici 47, no. 1 (2021): 89–102. http://dx.doi.org/10.54330/afm.112492.

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 If a non-reversible Finsler norm is the sum of a reversible Finsler norm and a closed 1-form, then one can uniquely recover the 1-form up to potential fields from the boundary distance data. We also show a boundary rigidity result for Randers metrics where the reversible Finsler norm is induced by a Riemannian metric which is boundary rigid. Our theorems generalize Riemannian boundary rigidity results to some non-reversible Finsler manifolds. We provide an application to seismology where the seismic wave propagates in a moving medium.

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Akagi, Goro, Kazuhiro Ishige, and Ryuichi Sato. "The Cauchy problem for the Finsler heat equation." Advances in Calculus of Variations 13, no. 3 (2020): 257–78. http://dx.doi.org/10.1515/acv-2017-0048.

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AbstractLet H be a norm of {\mathbb{R}^{N}} and {H_{0}} the dual norm of H. Denote by {\Delta_{H}} the Finsler–Laplace operator defined by {\Delta_{H}u:=\operatorname{div}(H(\nabla u)\nabla_{\xi}H(\nabla u))}. In this paper we prove that the Finsler–Laplace operator {\Delta_{H}} acts as a linear operator to {H_{0}}-radially symmetric smooth functions. Furthermore, we obtain an optimal sufficient condition for the existence of the solution to the Cauchy problem for the Finsler heat equation\partial_{t}u=\Delta_{H}u,\quad x\in\mathbb{R}^{N},\,t>0,where {N\geq 1} and {\partial_{t}:=\frac{\part

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Ülgen, Semail, Esra Sengelen Sevim, and İrma Hacinliyan. "On Einstein Finsler metrics." International Journal of Mathematics 32, no. 09 (2021): 2150063. http://dx.doi.org/10.1142/s0129167x21500634.

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In this paper, we study Finsler metrics expressed in terms of a Riemannian metric, a 1-form, and its norm and find equations with sufficient conditions for such Finsler metrics to become Ricci-flat. Using certain transformations, we show that these equations have solutions and lead to the construction of a large and special class of Einstein metrics.

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Shen, Zhongmin, and Changtao Yu. "On a class of Einstein Finsler metrics." International Journal of Mathematics 25, no. 04 (2014): 1450030. http://dx.doi.org/10.1142/s0129167x1450030x.

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In this paper, we study Finsler metrics expressed in terms of a Riemannian metric, an 1-form, and its norm. We find equations which are sufficient conditions for such Finsler metrics to have constant Ricci curvature. Using certain transformations, we successfully solve these equations and hence construct a large class of Einstein metrics.

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Zamanzadeh, Seyyed Mohammad, Behzad Najafi, and Megerdich Toomanian. "On generalized P-reducible Finsler manifolds." Open Mathematics 16, no. 1 (2018): 718–23. http://dx.doi.org/10.1515/math-2018-0065.

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AbstractThe class of generalized P-reducible manifolds (briefly GP-reducible manifolds) was first introduced by Tayebi and his collaborates [1]. This class of Finsler manifolds contains the classes of P-reducible manifolds, C-reducible manifolds and Landsberg manifolds. We prove that every compact GP-reducible manifold with positive or negative character is a Randers manifold. The norm of Cartan torsion plays an important role for studying immersion theory in Finsler geometry. We find the relation between the norm of Cartan torsion, mean Cartan torsion, Landsberg and mean Landsberg curvatures

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Duy, Nguyen Tuan. "Some hardy type inequalities with finsler norms." Mathematica Slovaca 71, no. 2 (2021): 317–30. http://dx.doi.org/10.1515/ms-2017-0470.

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Rodrigues, Hugo Murilo, and Ryuichi Fukuoka. "Geodesic fields for Pontryagin type C⁰-Finsler manifolds." ESAIM: Control, Optimisation and Calculus of Variations 28 (2022): 19. http://dx.doi.org/10.1051/cocv/2022013.

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Let M be a differentiable manifold, TxM be its tangent space at x ∈ M and TM = {(x, y);x ∈ M;y ∈ TxM} be its tangent bundle. A C0-Finsler structure is a continuous function F : TM → [0, ∞) such that F(x, ⋅) : TxM → [0, ∞) is an asymmetric norm. In this work we introduce the Pontryagin type C0-Finsler structures, which are structures that satisfy the minimum requirements of Pontryagin’s maximum principle for the problem of minimizing paths. We define the extended geodesic field ℰ on the slit cotangent bundle T*M\0 of (M, F), which is a generalization of the geodesic spray of Finsler geometry. W

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Chu, Cho-Ho. "Siegel domains over Finsler symmetric cones." Journal für die reine und angewandte Mathematik (Crelles Journal) 2021, no. 778 (2021): 145–69. http://dx.doi.org/10.1515/crelle-2021-0027.

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Abstract Let Ω be a proper open cone in a real Banach space V. We show that the tube domain V ⊕ i ⁢ Ω {V\oplus i\Omega} over Ω is biholomorphic to a bounded symmetric domain if and only if Ω is a normal linearly homogeneous Finsler symmetric cone, which is equivalent to the condition that V is a unital JB-algebra in an equivalent norm and Ω is the interior of { v 2 : v ∈ V } {\{v^{2}:v\in V\}} .

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Lemmens, Bas. "Horofunction compactifications of symmetric cones under Finsler distances." Annales Fennici Mathematici 48, no. 2 (2023): 729–56. http://dx.doi.org/10.54330/afm.141190.

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In this paper we consider symmetric cones equipped with invariant Finsler distances, namely the Thompson distance and the Hilbert distance. We give a complete characterisation of the horofunctions of the symmetric cone \(A_+^\circ\) under the Thompson distance and establish a correspondence between the horofunction compactification of \(A_+^\circ\) and the horofunction compactification of the normed space in the tangent bundle. More precisely, we show that the exponential map extends as a homeomorphism between the horofunction compactification of the normed space in the tangent bundle, which i

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Shojaee, Neda, and Morteza Mirmohammad Rezaii. "Harmonic vector fields on a weighted Riemannian manifold arising from a Finsler structure." Advances in Pure and Applied Mathematics 9, no. 2 (2018): 131–41. http://dx.doi.org/10.1515/apam-2016-0099.

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AbstractIn the present work, the harmonic vector field is defined on closed Finsler measure spaces through different approaches. At first, the weighted harmonic vector field is obtained as the solution space of a PDE system. Then a suitable Dirichlet energy functional is introduced. A σ-harmonic vector field is considered as the critical point of related action. It is proved that a σ-harmonic vector field on a closed Finsler space with an extra unit norm condition is an eigenvector of the defined Laplacian operator on vector fields. Moreover, we prove that a unit weighted harmonic vector field

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Thèses sur le sujet "Finsler norm"

Buzachero, Luiz Francisco Sanches [UNESP]. "Otimização de controladores robustos de sistemas dinâmicos sujeitos a falhas estruturais." Universidade Estadual Paulista (UNESP), 2010. http://hdl.handle.net/11449/87054.

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Made available in DSpace on 2014-06-11T19:22:31Z (GMT). No. of bitstreams: 0 Previous issue date: 2010-03-25Bitstream added on 2014-06-13T19:26:16Z : No. of bitstreams: 1 buzachero_lfs_me_ilha.pdf: 810037 bytes, checksum: 87b0daa8f9193eb11af167f798712fc5 (MD5) Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) Neste trabalho propõem-se novas técnicas para otimização da norma de controladores robustos de sistemas dinâmicos lineares sujeitos a falhas estruturais, utilizando realimentação dos estados. As técnicas de projeto utilizadas baseiam-se em LMIs (do inglês Linear

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Buzachero, Luiz Francisco Sanches. "Otimização de controladores robustos de sistemas dinâmicos sujeitos a falhas estruturais /." Ilha Solteira : [s.n.], 2010. http://hdl.handle.net/11449/87054.

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Orientador: Edvaldo Assunção Banca: Marcelo Carvalho Minhoto Teixeira Banca: Celso Correia de Souza Resumo: Neste trabalho propõem-se novas técnicas para otimização da norma de controladores robustos de sistemas dinâmicos lineares sujeitos a falhas estruturais, utilizando realimentação dos estados. As técnicas de projeto utilizadas baseiam-se em LMIs (do inglês Linear Matrix Inequalities) formuladas com base na teoria de estabilidade segundo Lyapunov, utilizando o lema de Finsler e o lema projetivo recíproco. As LMIs utilizadas tiveram o acréscimo da restrição da taxa de decaimento, i

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Chapitres de livres sur le sujet "Finsler norm"

Bao, D., S. S. Chern, and Z. Shen. "Finsler Manifolds and the Fundamentals of Minkowski Norms." In Graduate Texts in Mathematics. Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-1268-3_1.

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"Finsler Norms and Finsler Functions." In Connections, Sprays and Finsler Structures. WORLD SCIENTIFIC, 2013. http://dx.doi.org/10.1142/9789814440103_0009.

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Actes de conférences sur le sujet "Finsler norm"

J. de Oliveira, Bárbara, Víctor C. S. Campos, and Márcio F. Braga. "Estimação de Estados de uma Câmara Termoeletricamente Controlada utilizando Projetos de Filtros H1." In Congresso Brasileiro de Automática - 2020. sbabra, 2020. http://dx.doi.org/10.48011/asba.v2i1.1748.

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O objetivo deste trabalho é apresentar e comparar duas estratégias de filtros para estimação de estados aplicados em uma Câmara Termoeletricamente Controlada (CTC). A CTC é composta por cinco sensores digitais de temperatura que representam os estados do sistema. A aplicação dos métodos é executada em duas etapas. Na primeira etapa, os filtros são implementados de forma off-line no software MATLAB R2018a, a partir dos dados reais do sistema. Enquanto, na segunda etapa, os filtros são aplicados em tempo real no sistema físico. São apresentados dois teoremas para a obtenção dos parâmetros dos fi

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