M. Munteanu

activity

20242026

collaborators

5 papers

math.DG2026

Homogeneity of magnetic geodesics in the Heisenberg group

Jun-ichi Inoguchi, Marian Ioan Munteanu

We prove that magnetic geodesics in the $3$ -dimensional Heisenberg group derived from the canonical contact structure are homogeneous.

math.DG2025

Homogeneity of magnetic trajectories in the Berger sphere

Jun-ichi Inoguchi, Marian Ioan Munteanu

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 geode…

math.DG2024

Homogeneity of magnetic trajectories in the real special linear group

Jun-ichi Inoguchi, Marian Ioan Munteanu

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 c…

math.DG2024

Translators of the mean curvature flow in the special linear group $S L (2, R)$

Rafael LÃ³pez, Marian Ioan Munteanu

Translators in the special linear group $S L (2, R)$ are surfaces whose mean curvature $H$ and unit normal vector $N$ satisfy $H = ⟨ N, X ⟩$ , where $X$ is a fixed Kil…

math.DG2024

Conformal trajectories in 3-dimensional space form

Rafael Lopez, Marian Ioan Munteanu

We introduce the notion of conformal trajectories in three-dimensional Riemannian manifolds $M^{3}$ . Given a conformal vector field $V \in X (M^{3})$ , a conformal trajectory of…

Homogeneity of magnetic geodesics in the Heisenberg group

Homogeneity of magnetic trajectories in the Berger sphere

Homogeneity of magnetic trajectories in the real special linear group

Translators of the mean curvature flow in the special linear group SL(2,R)

Conformal trajectories in 3-dimensional space form

Translators of the mean curvature flow in the special linear group $S L (2, R)$