Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Cretu, Georgeta"'
Autor:
Bucataru, Ioan, Cretu, Georgeta
A strong Hamel function is a Hamel function that is the geodesic derivative of some 0-homogeneous function. We prove that strong Hamel functions induce dual symmetries and dynamical symmetries and provide the conditions such that these symmetries are
Externí odkaz:
http://arxiv.org/abs/2402.09791
Publikováno v:
Annals of Global Analysis and Geometry, 62 (2022), no. 4, 815 - 827
We prove that in a Finsler manifold with vanishing $\chi$-curvature (in particular with constant flag curvature) some non-Riemannian geometric structures are geodesically invariant and hence they induce a set of non-Riemannian first integrals. Two al
Externí odkaz:
http://arxiv.org/abs/2204.05678
Publikováno v:
Journal of Geometry and Physics Volume 166, August 2021, 104254
We use two non-Riemannian curvature tensors, the $\chi$-curvature and the mean Berwald curvature to characterise a class of Finsler metrics admitting first integrals.
Externí odkaz:
http://arxiv.org/abs/2101.11876
Autor:
Cretu, Georgeta
We define a Weyl-type curvature tensor of $(1,2)$-type to provide a characterization for Finsler metrics of constant flag curvature. This Weyl-type curvature tensor is projective invariant only to projective factors that are Hamel functions. Based on
Externí odkaz:
http://arxiv.org/abs/1908.05305
Autor:
Bucataru, Ioan, Creţu, Georgeta
Publikováno v:
Publicationes Mathematicae Debrecen, 92 (3-4), 2020, 439-447
We present a new proof of a Finslerian version of Beltrami's theorem (1865) which works also in dimension 2.
Comment: 6 pages
Comment: 6 pages
Externí odkaz:
http://arxiv.org/abs/1902.05274
Autor:
Bucataru, Ioan, Creţu, Georgeta
Publikováno v:
The Journal of Geometric Analysis, January 2020, Volume 30, Issue 1, pp 617-631
We define a Weyl-type curvature tensor that provides a characterisation for Finsler metrics of constant flag curvature. When the Finsler metric reduces to a Riemannian metric, the Weyl-type curvature tensor reduces to the classic projective Weyl tens
Externí odkaz:
http://arxiv.org/abs/1808.05001
Autor:
Cretu, Georgeta, Spasici, Camelia
Publikováno v:
Universul Juridic / Legal Universe. (11):20-32
Externí odkaz:
https://www.ceeol.com/search/article-detail?id=1090999
Publikováno v:
Differential Geometry and its Applications, Volume 56, February 2018, Pages 308-324
For a $2$-dimensional non-flat spray we associate a Berwald frame and a $3$-dimensional distribution that we call the Berwald distribution. The Frobenius integrability of the Berwald distribution characterises the Finsler metrizability of the given s
Externí odkaz:
http://arxiv.org/abs/1610.03949
Autor:
Cretu, Georgeta, Spasici, Camelia
Publikováno v:
Universul Juridic / Legal Universe. (11):34-46
Externí odkaz:
https://www.ceeol.com/search/article-detail?id=1013273
Autor:
Cretu, Georgeta, Spasici, Camelia
Publikováno v:
LOGOS, UNIVERSALITY, MENTALITY, EDUCATION, NOVELTY. Section: Law. VIII(2):17-34
Externí odkaz:
https://www.ceeol.com/search/article-detail?id=1002667