Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Zlatko Erjavec"'
Autor:
Zlatko Erjavec, Marcel Maretić
Publikováno v:
Mathematics, Vol 11, Iss 8, p 1820 (2023)
A translation curve in a homogeneous space is a curve such that for a given unit vector at the origin, translation of this vector is tangent to the curve in its every point. Translation curves coincide with geodesics in most Thurston spaces, but not
Externí odkaz:
https://doaj.org/article/4dbafd024fc34868b808dbd34ac803c1
Autor:
Zlatko Erjavec
Publikováno v:
Mathematics, Vol 11, Iss 6, p 1533 (2023)
A translation curve in a Thurston space is a curve such that for given unit vector at the origin, the translation of this vector is tangent to the curve in every point of the curve. In most Thurston spaces, translation curves coincide with geodesic l
Externí odkaz:
https://doaj.org/article/2321d2665f174ec4a84ba6b1980b87aa
Autor:
Zlatko Erjavec, Jun-ichi Inoguchi
Publikováno v:
Mathematical Physics, Analysis and Geometry. 25
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0526e53a6d5db8a278a44abb6ddcb1d6
https://doi.org/10.1007/s11040-022-09418-5
https://doi.org/10.1007/s11040-022-09418-5
Autor:
Zlatko Erjavec, Jun-ichi Inoguchi
Magnetic curves represent trajectories of charged particles moving on a Riemannian manifold under the action of a magnetic field. The study of magnetic curves in arbitrary Riemannian manifolds was developed in early 1990's, even though related works
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ae9997767072085cf53515ba12d292d2
https://www.bib.irb.hr/1201034
https://www.bib.irb.hr/1201034
Autor:
Zlatko Erjavec
Publikováno v:
Reports on Mathematical Physics. 84:333-350
Killing magnetic curves are trajectories of charged particles on a Riemannian manifold under action of a Killing magnetic field. In this paper we study Killing magnetic curves in SL(2, ℝ) geometry.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ee9e94244e622e386a37b888ff534b53
https://doi.org/10.1016/s0034-4877(19)30096-5
https://doi.org/10.1016/s0034-4877(19)30096-5
Autor:
Zlatko Erjavec
Killing vector field on Riemannian manifold is a vector field X which satisfies the Killing equation L_{;X};g=0, where L denotes a Lie derivative. The Killing equation expresses that a metric of Riemannian manifold is invariant under the vector field
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f644747aa860a6a510f6016d5ba9da0d
https://www.bib.irb.hr/1142887
https://www.bib.irb.hr/1142887
Autor:
Jun-ichi Inoguchi, Zlatko Erjavec
Publikováno v:
Journal of Nonlinear Mathematical Physics. 25:198
Magnetic curves with respect to the canonical contact structure of the space Sol_3 are investigated.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::25b8c15fbf688cb2a5eae36f6a81b7a0
https://doi.org/10.1080/14029251.2018.1452670
https://doi.org/10.1080/14029251.2018.1452670
Autor:
Zlatko Erjavec
Publikováno v:
Volume: 42, Issue: 6 2942-2952
Turkish Journal of Mathematics
Turkish Journal of Mathematics
The Cayley transform maps the unit disk onto the upper half-plane, conformally and isometrically. In this paper, we generalize the Cayley transform in three-dimensional homogeneous geometries which are fiber bundles over the hyperbolic plane. Obtaine
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::206087fbf0ea95d15aac25bf24dd389a
https://doi.org/10.3906/mat-1802-28
https://doi.org/10.3906/mat-1802-28
Autor:
Zlatko Erjavec, Jun-ichi Inoguchi
Magnetic curves represent trajectories of charged particles moving on a Riemannian manifold under the action of a magnetic field. A vector field X is a Killing vector field if the Lie derivative with respect to X of the ambient space metric g vanishe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e0ae45368b0dfa93d90cf9ccf4658361
https://www.bib.irb.hr/959614
https://www.bib.irb.hr/959614
Autor:
Zlatko Erjavec
Publikováno v:
Glasnik matematički
Volume 50
Issue 1
Volume 50
Issue 1
In this paper some geometric properties of SL(2, R)~ geometry are considered, the minimal surface equation is derived and fundamental examples of minimal surfaces are given.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a2f2493425f148b7bcfc3484d1b5117c
https://hrcak.srce.hr/140097
https://hrcak.srce.hr/140097