Zobrazeno 1 - 10
of 296
pro vyhledávání: '"Marian Ioan"'
Autor:
Marian Ioan Munteanu
Publikováno v:
Mathematics, Vol 11, Iss 22, p 4636 (2023)
We classify Weingarten conoids in the real special linear group SL(2,R). In particular, there is no linear Weingarten nontrivial conoids in SL(2,R). We also prove that the only conoids in SL(2,R) with constant Gaussian curvature are the flat ones. Fi
Externí odkaz:
https://doaj.org/article/866877ac1f214b5190a88721265e2814
We study the homogeneity of contact magnetic trajectories in naturally reductive Berger spheres. We prove that every contact magnetic trajectory is a product of a homogeneous geodesic and a charged Reeb flow.
Externí odkaz:
http://arxiv.org/abs/2406.15886
Autor:
López, Rafael, Munteanu, Marian Ioan
Translators in the special linear group $SL(2,\mathbb{R})$ are surfaces whose mean curvature $H$ and unit normal vector $N$ satisfy $H=\langle N,X\rangle$, where $X$ is a fixed Killing vector field. In this paper we study and classify those translato
Externí odkaz:
http://arxiv.org/abs/2405.15957
Autor:
Lopez, Rafael, Munteanu, Marian Ioan
We introduce the notion of conformal trajectories in three-dimensional Riemannian manifolds $M^3$. Given a conformal vector field $V\in\mathfrak{X}(M^3)$, a conformal trajectory of $V$ is a regular curve $\gamma$ in $M^3$ satisfying $\nabla_{\gamma'}
Externí odkaz:
http://arxiv.org/abs/2405.15890
Autor:
Marian Ioan Munteanu
Publikováno v:
Mathematics, Vol 10, Iss 13, p 2243 (2022)
When a manifold is endowed with a geometric structure, we have more opportunities to explore its geometric properties [...]
Externí odkaz:
https://doaj.org/article/58e2f4b891724742b0c652c5851204c1
Autor:
López, Rafael, Munteanu, Marian Ioan
A soliton of the mean curvature flow in the product space $\mathbb{s}^2\times\mathbb{R}$ as a surface whose mean curvature $H$ satisfies the equation $H=\langle N,X\rangle$, where $N$ is the unit normal of the surface and $X$ is a Killing vector fiel
Externí odkaz:
http://arxiv.org/abs/2402.14727
Publikováno v:
Proc. Amer. Math. Soc. 152 (2024), 1287-1300
We prove the homogeneity of contact magnetic curves in the real special linear group of degree $2$. Every contact magnetic trajectory is a product of a homogeneous geodesic and a charged Reeb flow.
Comment: 14 pages
Comment: 14 pages
Externí odkaz:
http://arxiv.org/abs/2401.13988
Autor:
Marian Ioan Munteanu
Publikováno v:
Mathematics, Vol 10, Iss 4, p 544 (2022)
In this paper, we study contact magnetic geodesics in a 3-dimensional Lie group G endowed with a left invariant almost cosymplectic structure. We distinguish the two cases: G is unimodular, and G is nonunimodular. We pay a careful attention to the sp
Externí odkaz:
https://doaj.org/article/18778ba7944b485d934aa537aad69929
Autor:
Marian Ioan Munteanu, Ana Irina Nistor
Publikováno v:
Mathematics, Vol 9, Iss 24, p 3220 (2021)
We classify the magnetic Jacobi fields in cosymplectic manifolds of dimension 3, enriching the results in the study of magnetic Jacobi fields derived from uniform magnetic fields. In particular, we give examples of Jacobi magnetic fields in the Eucli
Externí odkaz:
https://doaj.org/article/eb94b7b82891492f882aa3c4812a1d6d
Autor:
Mirjana Djorić, Marian Ioan Munteanu
Publikováno v:
Mathematics, Vol 8, Iss 8, p 1278 (2020)
Due to the remarkable property of the seven-dimensional unit sphere to be a Sasakian manifold with the almost contact structure (φ,ξ,η), we study its five-dimensional contact CR-submanifolds, which are the analogue of CR-submanifolds in (almost) K
Externí odkaz:
https://doaj.org/article/f5e97cf1a3494958a07b79e50fc05e7f