25 citations · 40 across the 3 of their papers we have counts for
7 papers
Compact stable surfaces with constant mean curvature in Killing submersions
Ana M. Lerma, José M. Manzano
A Killing submersion is a Riemannian submersion from a 3-manifold to a surface, both connected and orientable, whose fibres are the integral curves of a Killing vector field, not n…
Evolution by mean curvature flow of Lagrangian spherical surfaces in complex Euclidean plane
Ildefonso Castro, Ana M. Lerma, Vicente Miquel
We describe the evolution under the mean curvature flow of embedded Lagrangian spherical surfaces in the complex Euclidean plane . In particular, we answer the Questi…
Homothetic solitons for the inverse mean curvature flow
Ildefonso Castro, Ana M. Lerma
We study solutions to the inverse mean curvature flow which evolve by homotheties of a given submanifold with arbitrary dimension and codimension. We first show that the closed one…
A new construction of Lagrangians in the complex Euclidean plane in terms of planar curves
Ildefonso Castro, Ana M. Lerma
We introduce a new method to construct a large family of Lagrangian surfaces in complex Euclidean plane by means of two planar curves making use of their usual product as complex f…
The Clifford torus as a self-shrinker for the Lagrangian mean curvature flow
Ildefonso Castro, Ana M. Lerma
We provide several rigidity results for the Clifford torus in the class of compact self-shrinkers for Lagrangian mean curvature flow.
Translating solitons for Lagrangian mean curvature flow in complex Euclidean plane
Ildefonso Castro, Ana M. Lerma
Using certain solutions of the curve shortening flow, including self-shrinking and self-expanding curves or spirals, we construct and characterize many new examples of translating…