Frederico J. Xavier

Professor

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

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