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pro vyhledávání: '"Marian Ioan"'
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:
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
Publikováno v:
Revista de la Real Academia de Ciencias Exactas, F\'isicas y Naturales. Serie A. Matem\'aticas, Volume 117, issue 2, April 2023, Article: 71
We show that a unit vector field on an oriented Riemannian manifold is a critical point of the Landau Hall functional if and only if it is a critical point of the Dirichlet energy functional. Therefore, we provide a characterization for a unit vector
Externí odkaz:
http://arxiv.org/abs/2107.05423
Autor:
Munteanu, Marian Ioan1 (AUTHOR) marian.ioan.munteanu@gmail.com
Publikováno v:
Mathematics (2227-7390). Nov2023, Vol. 11 Issue 22, p4636. 22p.
Akademický článek
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Publikováno v:
In Journal of Mathematical Analysis and Applications 15 April 2023 520(2)
Publikováno v:
Adv. Theoret. Math. Phys. 23 (2019), no. 8, 2161--2205
We investigate contact magnetic curves in the real special linear group of degree 2. They are geodesics of the Hopf tubes over the projection curve. We prove that periodic contact magnetic curves in SL(2,R) can be quantized in the set of rational num
Externí odkaz:
http://arxiv.org/abs/1811.11993