24 citations · 102 across the 15 of their papers we have counts for
16 papers
Killing Mean Curvature Solitons from Riemannian Submersions
Diego Artacho, Marie-Amélie Lawn, Miguel Ortega
We present a new general construction of examples of mean curvature solitons on manifolds admitting a nowhere-vanishing Killing vector field. Using Riemannian submersion techniques…
New Examples of Translating Solitons in Generalised Robertson-Walker Geometries
Diego Artacho, Marie-Amélie Lawn, Miguel Ortega
Translators can be regarded as submanifolds which satisfy the mean curvature flow equation when evolving by translations along a distinguished vector field of the ambient space. We…
A Twistor Construction of Hopf Real Hypersurfaces in Complex hyperbolic Space
Jong Taek Cho, Makoto Kimura, Miguel Ortega
It is very well known that Hopf real hypersurfaces in the complex projective space can be locally characterized as tubes over complex submanifolds. This also holds true for some, b…
Ruled Real Hypersurfaces in the Indefinite Complex Projective Space
Marilena Moruz, Miguel Ortega, Juan de Dios Pérez
The main two families of real hypersurfaces in complex space forms are Hopf and ruled. However, very little is known about real hypersurfaces in the indefinite complex projective s…
Translating Solitons in a Lorentzian Setting, Submersions and Cohomogeneity One Actions
Marie-Amelie Lawn, Miguel Ortega
We study new examples of translating solitons of the mean curvature flow, especially in Minkowski space. We consider for this purpose manifolds admitting submersions and cohomegene…
A Zoo of Translating Solitons on a Parallel Light-like Direction in Minkowski 3-Space
Erdem Kocakuşaklı, Miguel Ortega
We deal with solitons of the mean curvature flow. The definition of \textit{translating solitons on a light-like direction} in Minkowski 3-space is introduced. Firstly, we classify…