54 citations · 283 across the 28 of their papers we have counts for
31 papers
Homogeneity of magnetic geodesics in the Heisenberg group
Jun-ichi Inoguchi, Marian Ioan Munteanu
We prove that magnetic geodesics in the -dimensional Heisenberg group derived from the canonical contact structure are homogeneous.
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…
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…
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…
Solitons of the mean curvature flow in
Rafael López, Marian Ioan Munteanu
A soliton of the mean curvature flow in the product space as a surface whose mean curvature satisfies the equation , where…
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…