List of Publications of F. Xavier
[1] F. Xavier (with L. P. Jorge), On the existence of complete bounded minimal surfaces in $R^n$, Boletim da Sociedade Brasileira de Mathematica, 10, No. 2 (1979).
[2] F. Xavier (with L. P.Jorge), A complete minimal surface between two parallel planes, Annals of Mathematics, 112, 203-206, (1980).
[3] F. Xavier (with L. P.Jorge), An inequality between the exterior diameter and the mean curvature of bounded immersions, Mathematische Zeitschrift, 178, 77-82, (1981).
[4] F. Xavier, The Gauss map of complete minimal surface cannot omit 7 points of the sphere, Annals of Mathematics, 113 (1981) (erratum on 115), 211-214 .
[5] F. Xavier (with H. Donnelly), On the differential form spectrum of negatively curved manifolds, American Journal of Mathematics, 106, 169-187, (1984).
[6] F. Xavier, Convex hulls of complete minimal surfaces, Math. Ann. 269 l79-l82, (1984 ).
[7] F. Xavier, A non-immersion theorem for hyperbolic manifolds, Comm. Math.Helv. 60, 280-283, (1985).
[8] F. Xavier (with A. Weitsman), Some
function theoretic properties of the Gauss map for hyperbolic complete minimal
surfaces,
[9] F. Xavier (with B. Smyth), Efimov's theorem in dimension greater than two, Invent. Math. 90, 443-450, (l987).
[10] F. Xavier, Convexity and absolute continuity of the Laplace-Beltrami operator, Math. Ann., 282, 579-585, (l988).
[11] F. Xavier (with B. Smyth), A Sharp geometric estimate for the index of
an umbilic on a smooth surface, , Bull.
[12] F. Xavier, Invertibility of Bass-Connell-Wright polynomial maps, Math. Ann. 295, 163-166, (1993).
[13] F. Xavier, On the structure of complete simply connected embedded minimal surfaces, Journal of Geometric Analysis, 3, No. 5, pp 513-527 (1993).
[14] F. Xavier (with B. Smyth) Real solvability of the equation $\partial_{\overline z}^2 w = g$ and the topology of isolated umbilics, Journal of Geometric Analysis, 8, 656-671.
[15] F. J. Xavier (with B. Smyth), Injectivity of local diffeomorphisms from nearly spectral conditions, Jour. Diff. Equations., vol. 130, No. 2, 406-414, (1996).
[16] F. Xavier, Injectivity as a transversality phenomenon in geometries of negative curvature, Illinois Journal of Mathematics, 43, 256-263, (1999).
[17] F. Xavier, Embedded, simply connected, minimal surfaces with bounded curvature, GAFA, 11, 1344-1356 (2001).
[18] F. Xavier (with V. Nitica) Schrodinger operators and topological pressure on manifolds of negative curvature, Proc. Symposia of AMS, Smooth ergodic theory and Applications, edited by Katok, vol. 69, 791-796 (2001).
[19] F. Xavier (with J.Cao), Kahler parabolicity and the Euler number of compact manifolds of non-positive curvature, Math. Ann., 319, 483-491 (2001).
[20] F. Xavier (with B. Smyth), Eigenvalue
estimates and the index of Hessian fields, Bull.
[21] F. Xavier (with
[22] F. Xavier (with
[23] F. Xavier (with H. Donnelly) Spectral stability of hyperbolic spaces (Math Z., to appear)
[24] F. Xavier (with S. Nollet and L. Taylor) Birationality of étale maps via surgery (preprint)
[25] F. Xavier Rigidity of the Identity (Comm. in Contemporary Mathematics, to appear)
[26] F. Xavier Using Gauss Maps to Detect Intersections (preprint)
[27] F. Xavier (with