Xavier

Frederico J. Xavier

Professor

B.S., University of Pernambuco, 1971
M.S., University of Pernambuco, 1973
Ph.D., University of Rochester, 1977

Email: Frederico.J.Xavier.1@nd.edu
Office: 214 Hayes-Healy Hall
Phone: (574) 631-6288
Fax: (574) 631-6579


For additional information see Frederico Xavier’s Personal Page.

Research Interests

Differential geometry, geometric analysis.

Selected Publications

  • F. Xavier (with L. P.Jorge), A complete minimal surface between two parallel planes, Annals of Mathematics, 112 (1980), 203–-206.
  • F. Xavier, The Gauss map of complete minimal surface cannot omit 7 points of the sphere,_ Annals of Mathematics,_ 113 (1981) (erratum on v.115, 211–-214).
  • F.  Xavier (with H. Donnelly), On the differential form spectrum of negatively  curved manifolds,  _American Journal of Mathematics,_ 106 (1984), 169–-187.
  • F.  Xavier (with B. Smyth), Efimov’s theorem in dimension greater than two, Invent. Math. 90 (l987), 443-450.
  • F.  Xavier (with B. Smyth), Injectivity of local diffeomorphisms from nearly  spectral conditions,  _Jour. Diff. Eq.,_ vol. 130, No. 2, 406-414 (1996).
  • F. Xavier (with J. Cao),  Kahler parabolicity and the Euler number of compact manifolds of non-positive curvature, Math. Ann., 319, 483 — 491 (2001).
  • F. Xavier (with S. Nollet), Holomorphic Injectivity and the Hopf map, Geometric and Functional Analysis  (GAFA) 14, No. 6 (2004) 1339-1351.
  • F. Xavier, Using Gauss maps  to detect intersections,  _L’Enseignement Mathematique,_ 53, 15-31, 2007.
  • F. Xavier, Rigidity of the Identity, _Comm. Cont. Math,_ 9, 691-699, 2007.
  • F. Xavier (with S. Nollet, L. Taylor ), Birationality of etale maps via surgery,  _J. reigne angew._ Math. 627 (2009), 83-95.

Please direct questions and comments to: Frederico.J.Xavier.1@nd.edu