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25 papers · 2 filters
Null Curves in and Calabi-Yau Conjectures
Antonio Alarcon, Francisco J. Lopez
For any open orientable surface and convex domain there exists a Riemann surface homeomorphic to and a complete proper null curve Th…
Rotationally invariant constant mean curvature surfaces in homogeneous 3-manifolds
Francisco Torralbo
We classify constant mean curvature surfaces invariant by a 1-parameter group of isometries in the Berger spheres and in the special linear group Sl(2, R). In particular, all const…
Finite index operators on surfaces
Jose M. Espinar
We consider differential operators acting on functions on a Riemannian surface, , of the form where is the Laplacian of , is the Gaussian curva…
Convex domains of Finsler and Riemannian manifolds
Rossella Bartolo, Erasmo Caponio, Anna Valeria Germinario +1
A detailed study of the notions of convexity for a hypersurface in a Finsler manifold is carried out. In particular, the infinitesimal and local notions of convexity are shown to b…
Parabolic stable surfaces with constant mean curvature
Jose M. Manzano, Joaquin Perez, M. Magdalena Rodriguez
We prove that if u is a bounded smooth function in the kernel of a nonnegative Schrodinger operator on a parabolic Riemannian manifold M, then u is either identically z…
Finsler geodesics in the presence of a convex function and their applications
Erasmo Caponio, Miguel Angel Javaloyes, Antonio Masiello
We obtain a result about the existence of only a finite number of geodesics between two fixed non-conjugate points in a Finsler manifold endowed with a convex function. We apply it…