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208 papers · 1 filter
Axisymmetric stationary surfaces for the moment of inertia
Ulrich Dierkes, Rafael López
We investigate axisymmetric surfaces in Euclidean space that are stationary for the energy . By using a phase plane analysis, we classify these surfaces when…
Conformal quotients of plane waves, and Lichnerowicz conjecture in a locally homogeneous setting
Lilia Mehidi
In the first part of the paper, we study conformal groups that act properly discontinuously and cocompactly on simply connected, non-flat homogeneous plane waves. We show that prop…
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…
Weyl metrizability of 3-dimensional projective structures and CR submanifolds
Omid Makhmali
A projective structure is Weyl metrizable if it has a representative that preserves a conformal structure. We interpret Weyl metrizability of 3-dimensional projective structures as…
Evolution of the Torsional Rigidity under Geometric Flows
Vicent Gimeno i Garcia, Fernán González-Ibáñez
This paper explores the behavior of the torsional rigidity of a precompact domain as the ambient manifold evolves under a geometric flow. Specifically, we derive bounds on torsiona…
Translators of the Mean Curvature Flow in Hyperbolic Einstein's Static Universe
Miguel Ortega, Buse Yalçın
In this study, we deal with non-degenerate translators of the mean curvature flow in the well-known hyperbolic Einstein's static universe. We classify translators foliated by horos…