M. Munteanu

activity

20242026

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Showing 2024Show all

4 papers · 1 filter

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…

math.DG2024

Solitons of the mean curvature flow in $s^{2} \times R$

Rafael LÃ³pez, Marian Ioan Munteanu

A soliton of the mean curvature flow in the product space $s^{2} \times R$ as a surface whose mean curvature $H$ satisfies the equation $H = ⟨ N, X ⟩$ , where…

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

Solitons of the mean curvature flow in s2×R

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

Solitons of the mean curvature flow in $s^{2} \times R$