Zobrazeno 1 - 10
of 77
pro vyhledávání: '"Shibuya, Kazuhiro"'
Autor:
Kawamata, Masahiro, Shibuya, Kazuhiro
We discuss Monge-Amp\`ere equations from the view point of differential geometry. It is known that a Monge-Amp\`ere equation corresponds to a special exterior differential system on a 1-jet space. In this paper, we generalize Monge-Amp\`ere equations
Externí odkaz:
http://arxiv.org/abs/2008.10203
Publikováno v:
European Journal of Mathematics, 2018
We study the behavior of the geodesics of strong Kropina spaces. The global and local aspects of geodesics theory are discussed. Our theory is illustrated with several examples.
Comment: Some figures are not correctly compiled
Comment: Some figures are not correctly compiled
Externí odkaz:
http://arxiv.org/abs/1808.02972
Autor:
Sabau, Sorin V., Shibuya, Kazuhiro
We study the variational problem for $N$-parallel curves on a Finslerian surface by means of Exterior Differential Systems using Griffiths' method. We obtain the conditions when these curves are extremals of a length functional and write the explicit
Externí odkaz:
http://arxiv.org/abs/1407.5511
We investigate the relation between weighted quasi-metric Spaces and Finsler Spaces. We show that the induced metric of a Randers space with reversible geodesics is a weighted quasi-metric space.
Externí odkaz:
http://arxiv.org/abs/1305.5880
Autor:
Noda, Takahiro, Shibuya, Kazuhiro
In this present paper, we study geometric structures of rank two prolongations of implicit second-order partial differential equations (PDEs) for two independent and one dependent variables and characterize the type of these PDEs by the topology of f
Externí odkaz:
http://arxiv.org/abs/1210.4735
An (I,J,K)-generalized Finsler structure on a 3-manifold is a generalization of a Finslerian structure, introduced in order to separate and clarify the local and global aspects in Finsler geometry making use of the Cartan's method of exterior differe
Externí odkaz:
http://arxiv.org/abs/1207.1575
Publikováno v:
Bulletin of the Kyushu Institute of Technology. Pure and applied mathematics. (70):1-24
The aim of this note is to explicitly describe contact transformations on the 2-jet space with one dependent variable using the canonical coordinate system.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=jairo_______::cf1d6e352f769f863141e3d40930696d
https://kyutech.repo.nii.ac.jp/records/7907
https://kyutech.repo.nii.ac.jp/records/7907
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Publikováno v:
In Polymer 30 January 2014 55(2):535-539
Publikováno v:
In Procedia Engineering 2014 72:298-303