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5 papers · 2 filters
Eigenvalues of the Dirac Operator on Manifolds with Boundary
Oussama Hijazi, Sebastian Montiel, Xiao Zhang
Under standard local boundary conditions or certain global APS boundary conditions, we get lower bounds for the eigenvalues of the Dirac operator on compact spin manifolds with bou…
Geodesic connectedness of semi-Riemannian manifolds
Miguel Sanchez
The question whether a Riemannian manifold is geodesically connected can be studied from geometrical as well as variational methods, and accurate results can be obtained by using t…
Convexity of domains of Riemannian manifolds
Rossella Bartolo, Anna Germinario, Miguel Sanchez
In this paper we analyze the problem of the geodesic connectedness of subsets of Riemannian manifolds. By using variational methods, the geodesic connectedness of open domains (who…
Geodesic connectedness and conjugate points in GRW spacetimes
J. L. Flores, M. Sanchez
Given two points of a Generalized Robertson-Walker spacetime, the existence, multiplicity and causal character of geodesic connecting them is characterized. Conjugate points of suc…
A complete bounded minimal cylinder in R^3
Francisco Martin, Santiago Morales
In 1996, Nadirashvili used Runge's theorem to produce a complete minimal disc inside a ball in R^3. In this paper we generalize the techniques used by Nadirashvili to obtain new ex…