Zobrazeno 1 - 10
of 72
pro vyhledávání: '"Demeter Krupka"'
Autor:
Demeter Krupka, Ján Brajerčík
Publikováno v:
Mathematics, Vol 12, Iss 10, p 1490 (2024)
This paper is devoted to some selected topics of the theory of special orthogonal group SO(3). First, we discuss the trace of orthogonal matrices and its relation to the characteristic polynomial; on this basis, the partition of SO(3) formed by conju
Externí odkaz:
https://doaj.org/article/ccf86b1b9324435d869d2168cec18316
Autor:
Demeter Krupka, Ján Brajerčík
Publikováno v:
Axioms, Vol 11, Iss 12, p 693 (2022)
This paper is devoted to the geometric theory of a Schwarzschild spacetime, a basic objective in applications of the classical general relativity theory. In a broader sense, a Schwarzschild spacetime is a smooth manifold, endowed with an action of th
Externí odkaz:
https://doaj.org/article/0ea7b6d988fa4a509ec15eeb1741f297
This volume contains invited lectures and selected research papers in the fields of classical and modern differential geometry, global analysis, and geometric methods in physics, presented at the 10th International Conference on Differential Geometry
Autor:
Demeter Krupka
Publikováno v:
Publicationes Mathematicae Debrecen. 99:495-505
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::34e4a6521554f054eebc69bad4e2a50f
https://doi.org/10.5486/pmd.2021.9050
https://doi.org/10.5486/pmd.2021.9050
Publikováno v:
Mathematica Slovaca. 64:1277-1290
In this paper, we introduce the structure of a principal bundle on the r-jet prolongation J r FX of the frame bundle FX over a manifold X. Our construction reduces the well-known principal prolongation W r FX of FX with structure group G nr. For a st
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a9026e3148090e26f0c12890a7b14829
https://doi.org/10.2478/s12175-014-0275-x
https://doi.org/10.2478/s12175-014-0275-x
Autor:
Demeter Krupka
Publikováno v:
Publicationes Mathematicae Debrecen. 84:147-164
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::99ea72c317254a911f3fb2632ae78b4d
https://doi.org/10.5486/pmd.2014.5791
https://doi.org/10.5486/pmd.2014.5791
Autor:
Demeter Krupka
Publikováno v:
International Journal of Geometric Methods in Modern Physics. 16:1941005
Projectability of Lepage forms, defined on higher-order jet spaces, onto the corresponding Grassmann fibrations, is a basic requirement for the extension of the theory of Lepage forms to integral variational functionals for submanifolds. In this pape
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::02d369e8d818fca50edaf69596d67cb9
https://doi.org/10.1142/s0219887819410056
https://doi.org/10.1142/s0219887819410056
Autor:
Demeter Krupka, Olga Krupková
Publikováno v:
Acta Applicandae Mathematicae. Apr2008, Vol. 101 Issue 1-3, p163-176. 14p.
Autor:
Demeter Krupka, Zbynek Urban
Publikováno v:
Publicationes Mathematicae Debrecen. 83:71-84
Variationality of systems of second order ordinary differential equations is studied within the class of positive homogeneous systems. The concept of a higher order positive homogeneous function, related to Finsler geometry, is represented by the wel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::04bc8aa6a3a396befcaf10b04d9b51ca
https://doi.org/10.5486/pmd.2013.5500
https://doi.org/10.5486/pmd.2013.5500
Autor:
Demeter Krupka, Tongzhu Li
Publikováno v:
Geometry. 2013:1-10
A canonical vector field on the tangent bundle is a vector field defined by an invariant coordinate construction. In this paper, a complete classification of canonical vector fields on tangent bundles, depending on vector fields defined on their base
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9282037f5a4c0caae29292abfc2f558f
https://doi.org/10.1155/2013/364301
https://doi.org/10.1155/2013/364301