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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 . 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
Rafael López, Marian Ioan Munteanu
Translators in the special linear group are surfaces whose mean curvature and unit normal vector satisfy , where 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 . Given a conformal vector field , a conformal trajectory of…