Edit Profile (opens in new tab) Xavier, Frederico V. Co-Author Distance Author ID: xavier.frederico-v Published as: Xavier, Frederico; Xavier, F.; Xavier, Frederico V. more...less Homepage: http://math.nd.edu/people/faculty/frederico-j-xavier/ External Links: MGP · Wikidata Documents Indexed: 44 Publications since 1979, including 1 Book and 2 Additional arXiv Preprints Co-Authors: 13 Co-Authors with 29 Joint Publications 371 Co-Co-Authors all top 5 Co-Authors 15 single-authored 7 Fontenele, Francisco X. 6 Smyth, Brian 4 Jorge, Luquésio P. M. 4 Nollet, Scott 2 Chen, Xiaoyang 1 Braun, Francisco 1 Cao, Jianguo 1 Donnelly, Harold 1 Li, Gang 1 Mello, Luis Fernando O. 1 Niţică, Viorel 1 Taylor, Laurence Robert 1 Weitsman, Allen all top 5 Serials 5 Mathematische Annalen 3 The Journal of Geometric Analysis 3 Annals of Mathematics. Second Series 2 Archiv der Mathematik 2 Bulletin of the London Mathematical Society 2 Journal of Differential Equations 2 Geometric and Functional Analysis. GAFA 2 L’Enseignement Mathématique. 2e Série 1 American Journal of Mathematics 1 Boletim da Sociedade Brasileira de Matemática 1 Commentarii Mathematici Helvetici 1 Illinois Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of Differential Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Revista Matemática Iberoamericana 1 Expositiones Mathematicae 1 Mathematical Research Letters 1 Discrete and Continuous Dynamical Systems 1 Matemática Contemporânea 1 The Asian Journal of Mathematics 1 Communications in Contemporary Mathematics 1 Pure and Applied Mathematics Quarterly 1 São Paulo Journal of Mathematical Sciences all top 5 Fields 32 Differential geometry (53-XX) 8 Global analysis, analysis on manifolds (58-XX) 6 Algebraic geometry (14-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 Functions of a complex variable (30-XX) 4 Several complex variables and analytic spaces (32-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Convex and discrete geometry (52-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 332 times in 276 Documents Cited by ▼ Year ▼ On the differential form spectrum of negatively curved Riemannian manifolds. Zbl 0547.58034 Donnelly, Harold; Xavier, Frederico 49 1984 A complete minimal surface in \(R^ 3\) between two parallel planes. Zbl 0455.53004 de M. Jorge, Luquesio P.; Xavier, Frederico 49 1980 Efimov’s theorem in dimension greater than two. Zbl 0642.53007 Smyth, Brian; Xavier, Frederico 27 1987 An inequality between the exterior diameter and the mean curvature of bounded immersions. Zbl 0464.53043 de M. Jorge, Luquesio P.; Xavier, Frederico V. 27 1981 The Gauss map of a complete non-flat minimal surface cannot omit 7 points of the sphere. Zbl 0477.53007 Xavier, Frederico 22 1981 Kähler parabolicity and the Euler number of compact manifolds of non-positive sectional curvature. Zbl 0992.53031 Cao, Jianguo; Xavier, Frederico 20 2001 Global inversion via the Palais-Smale condition. Zbl 1008.58009 Nollet, Scott; Xavier, Frederico 15 2002 A sharp geometric estimate for the index of an umbilic on a smooth surface. Zbl 0763.53007 Smyth, Brian; Xavier, Frederico 15 1992 Injectivity of local diffeomorphisms from nearly spectral conditions. Zbl 0870.58036 Smyth, Brian; Xavier, Frederico 13 1996 Convex hulls of complete minimal surfaces. Zbl 0528.53009 Xavier, Frederico 13 1984 Real solvability of the equation \(\partial^2_{\overline z}\omega=\rho g\) and the topology of isolated umbilics. Zbl 0983.53004 Smyth, Brian; Xavier, Frederico 9 1998 Some function theoretic properties of the Gauss map for hyperbolic complete minimal surfaces. Zbl 0631.53011 Weitsman, Allen; Xavier, Frederico 9 1987 A non-immersion theorem for hyperbolic manifolds. Zbl 0566.53045 Xavier, Frederico 7 1985 Good shadows, dynamics and convex hulls of complete submanifolds. Zbl 1221.58014 Fontenele, Francisco; Xavier, Frederico 6 2011 Holomorphic injectivity and the Hopf map. Zbl 1073.32005 Nollet, S.; Xavier, F. 6 2004 Convexity and absolute continuity of the Laplace-Beltrami operator. Zbl 0659.58049 Xavier, Frederico 5 1988 A Riemannian Bieberbach estimate. Zbl 1202.30012 Fontenele, Francisco; Xavier, Frederico 4 2010 Birationality of étale maps via surgery. Zbl 1161.14042 Nollet, Scott; Taylor, Laurence R.; Xavier, Frederico 4 2009 Erratum to the paper: The Gauss map of a complete non-flat minimal surface cannot omit 7 points of the sphere. Zbl 0485.53006 Xavier, Frederico 4 1982 On the existence of complete bounded minimal surfaces in \(R^ n\). Zbl 0479.53044 de M. Jorge, Luquesio P.; Xavier, Frederico 4 1979 Using Gauss maps to detect intersections. Zbl 1168.53004 Xavier, Frederico 3 2007 The global inversion problem: a confluence of many mathematical topics. Zbl 1198.58006 Xavier, F. 3 2008 Rigidity of the identity. Zbl 1141.32004 Xavier, Frederico 3 2007 Non-positive curvature and global invertibility of maps. Zbl 1303.58001 Li, Gang; Xavier, Frederico 2 2014 On Kulikov’s problem. Zbl 1135.14049 Nollet, Scott; Xavier, Frederico 2 2007 An index formula for Loewner vector fields. Zbl 1132.53007 Xavier, Frederico 2 2007 The index of isolated umbilics on surfaces of non-positive curvature. Zbl 1336.53009 Fontenele, Francisco; Xavier, Frederico 2 2015 Dynamics, points and places at infinity, and the inversion of polynomial self-maps of \(\mathbb{R}^2\). Zbl 1454.14149 Mello, Luis Fernando; Xavier, Frederico 2 2020 Eigenvalue estimates and the index of Hessian fields. Zbl 1039.53006 Smyth, Brian; Xavier, Frederico 2 2001 Finiteness of prescribed fibers of local biholomorphisms: a geometric approach. Zbl 1332.53090 Chen, Xiaoyang; Xavier, Frederico 1 2015 Embedded, simply connected, minimal surfaces with bounded curvature. Zbl 1004.53007 Xavier, F. 1 2001 Finding umbilics on open convex surfaces. Zbl 1429.53006 Fontenele, Francisco; Xavier, Frederico 1 2019 Dynamics, points and places at infinity, and the inversion of polynomial self-maps of \(\mathbb{R}^2\). Zbl 1454.14149 Mello, Luis Fernando; Xavier, Frederico 2 2020 Finding umbilics on open convex surfaces. Zbl 1429.53006 Fontenele, Francisco; Xavier, Frederico 1 2019 The index of isolated umbilics on surfaces of non-positive curvature. Zbl 1336.53009 Fontenele, Francisco; Xavier, Frederico 2 2015 Finiteness of prescribed fibers of local biholomorphisms: a geometric approach. Zbl 1332.53090 Chen, Xiaoyang; Xavier, Frederico 1 2015 Non-positive curvature and global invertibility of maps. Zbl 1303.58001 Li, Gang; Xavier, Frederico 2 2014 Good shadows, dynamics and convex hulls of complete submanifolds. Zbl 1221.58014 Fontenele, Francisco; Xavier, Frederico 6 2011 A Riemannian Bieberbach estimate. Zbl 1202.30012 Fontenele, Francisco; Xavier, Frederico 4 2010 Birationality of étale maps via surgery. Zbl 1161.14042 Nollet, Scott; Taylor, Laurence R.; Xavier, Frederico 4 2009 The global inversion problem: a confluence of many mathematical topics. Zbl 1198.58006 Xavier, F. 3 2008 Using Gauss maps to detect intersections. Zbl 1168.53004 Xavier, Frederico 3 2007 Rigidity of the identity. Zbl 1141.32004 Xavier, Frederico 3 2007 On Kulikov’s problem. Zbl 1135.14049 Nollet, Scott; Xavier, Frederico 2 2007 An index formula for Loewner vector fields. Zbl 1132.53007 Xavier, Frederico 2 2007 Holomorphic injectivity and the Hopf map. Zbl 1073.32005 Nollet, S.; Xavier, F. 6 2004 Global inversion via the Palais-Smale condition. Zbl 1008.58009 Nollet, Scott; Xavier, Frederico 15 2002 Kähler parabolicity and the Euler number of compact manifolds of non-positive sectional curvature. Zbl 0992.53031 Cao, Jianguo; Xavier, Frederico 20 2001 Eigenvalue estimates and the index of Hessian fields. Zbl 1039.53006 Smyth, Brian; Xavier, Frederico 2 2001 Embedded, simply connected, minimal surfaces with bounded curvature. Zbl 1004.53007 Xavier, F. 1 2001 Real solvability of the equation \(\partial^2_{\overline z}\omega=\rho g\) and the topology of isolated umbilics. Zbl 0983.53004 Smyth, Brian; Xavier, Frederico 9 1998 Injectivity of local diffeomorphisms from nearly spectral conditions. Zbl 0870.58036 Smyth, Brian; Xavier, Frederico 13 1996 A sharp geometric estimate for the index of an umbilic on a smooth surface. Zbl 0763.53007 Smyth, Brian; Xavier, Frederico 15 1992 Convexity and absolute continuity of the Laplace-Beltrami operator. Zbl 0659.58049 Xavier, Frederico 5 1988 Efimov’s theorem in dimension greater than two. Zbl 0642.53007 Smyth, Brian; Xavier, Frederico 27 1987 Some function theoretic properties of the Gauss map for hyperbolic complete minimal surfaces. Zbl 0631.53011 Weitsman, Allen; Xavier, Frederico 9 1987 A non-immersion theorem for hyperbolic manifolds. Zbl 0566.53045 Xavier, Frederico 7 1985 On the differential form spectrum of negatively curved Riemannian manifolds. Zbl 0547.58034 Donnelly, Harold; Xavier, Frederico 49 1984 Convex hulls of complete minimal surfaces. Zbl 0528.53009 Xavier, Frederico 13 1984 Erratum to the paper: The Gauss map of a complete non-flat minimal surface cannot omit 7 points of the sphere. Zbl 0485.53006 Xavier, Frederico 4 1982 An inequality between the exterior diameter and the mean curvature of bounded immersions. Zbl 0464.53043 de M. Jorge, Luquesio P.; Xavier, Frederico V. 27 1981 The Gauss map of a complete non-flat minimal surface cannot omit 7 points of the sphere. Zbl 0477.53007 Xavier, Frederico 22 1981 A complete minimal surface in \(R^ 3\) between two parallel planes. Zbl 0455.53004 de M. Jorge, Luquesio P.; Xavier, Frederico 49 1980 On the existence of complete bounded minimal surfaces in \(R^ n\). Zbl 0479.53044 de M. Jorge, Luquesio P.; Xavier, Frederico 4 1979 all cited Publications top 5 cited Publications all top 5 Cited by 289 Authors 18 Alarcón, Antonio 14 Xavier, Frederico V. 11 Forstnerič, Franc 11 Bessa, Gregório Pacelli 9 Lopez Fernandez, Francisco Jose 8 Huang, Teng 7 Fontenele, Francisco X. 6 Braun, Francisco 6 Gutierrez, Carlos 5 Alías, Luis J. 5 Gálvez, Jose Antonio 4 Ando, Naoya 4 Garcia, Ronaldo A. 4 Itokawa, Yoe 4 Jorge, Luquésio P. M. 4 Kawakami, Yu 4 Martín, Francisco 4 Meeks, William Hamilton III 4 Meléndez, Josué 4 Ohsawa, Takeo 4 Rabanal, Roland 4 Takegoshi, Kensho 4 Umehara, Masaaki 3 Castro-Infantes, Ildefonso 3 Coghlan, Leslie 3 Donnelly, Harold 3 Lárusson, Finnur 3 Pessoa, Leandro F. 3 Rosenberg, Harold 3 Setti, Alberto G. 3 Sotomayor, Jorge 3 Teruel, José L. 3 Venato-Santos, Jean 3 Xin, Yuanlong 3 Yang, Ling 2 Avramidi, Grigori 2 Ballmann, Hans Werner 2 Barreto, Alexandre Paiva 2 Bei, Francesco 2 Brander, David 2 Cabral Balreira, Eduardo 2 Canevari, Samuel 2 Chen, Xiaoyang 2 Chen, Xingdi 2 Colding, Tobias Holck 2 Costa, M. Silvana 2 de Lima, Eudes Leite 2 Di Cerbo, Luca Fabrizio 2 Dias, Luis Renato Gonçalves 2 Escobar, José Fernando 2 Fernández, Isabel 2 Freire, Alexandre 2 Garofalo, Nicola 2 Ghomi, Mohammad 2 Gimeno, Vicent 2 Guan, Qi’an 2 Guimarães, Felippe Soares 2 Guíñez, Víctor 2 Gutú, Olivia 2 Hoffman, David A. 2 Jaramillo, Jesús Angel 2 Kawai, Shigeo 2 Kosecki, Roman 2 Li, Ping 2 Liu, Zhixue 2 Llibre, Jaume 2 Machado de Freitas, Guilherme 2 Manfio, Fernando 2 Maquera, Carlos 2 Martinez, Antonio Olivas 2 Mira, Pablo 2 Miyaoka, Reiko 2 Morales-Domingo, Santiago 2 Núñez, Roberto Alonso 2 Nuño-Ballesteros, Juan José 2 Okun, Boris L. 2 Oréfice-Okamoto, Bruna 2 Pham Hoang Ha 2 Ranjbar-Motlagh, Alireza 2 Rigoli, Marco 2 Romero-Fuster, María Carmen 2 Sánchez-Bringas, Federico 2 Sĩ Đức Quang 2 Smyth, Brian 2 Tan, Qiang 2 Teixeira, Marco Antonio 2 Tkachev, Vladimir G. 2 Yamada, Kotaro 2 Zhou, Xiangyu 2 Zhu, Langfeng 1 Acosta, Joel 1 Adiprasito, Karim Alexander 1 Albers, Peter 1 Alexandrov, Victor A. 1 Alves Garcia, Ronaldo 1 Aminov, Yurii Akhmetovich 1 Anderson, Michael T. 1 Asperti, Antonio Carlos 1 Atsuji, Atsushi 1 Banaji, Murad ...and 189 more Authors all top 5 Cited in 99 Serials 16 The Journal of Geometric Analysis 13 Mathematische Annalen 13 Mathematische Zeitschrift 13 Proceedings of the American Mathematical Society 12 Journal of Mathematical Analysis and Applications 10 Transactions of the American Mathematical Society 8 Annals of Global Analysis and Geometry 7 Duke Mathematical Journal 7 Geometriae Dedicata 6 Journal of Geometry and Physics 6 Archiv der Mathematik 6 Journal für die Reine und Angewandte Mathematik 6 Pacific Journal of Mathematics 6 Differential Geometry and its Applications 5 Journal of Differential Equations 5 Revista Matemática Iberoamericana 5 Bulletin of the Brazilian Mathematical Society. New Series 4 Advances in Mathematics 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Mathematische Nachrichten 4 Calculus of Variations and Partial Differential Equations 3 Anais da Academia Brasileira de Ciências 3 Inventiones Mathematicae 3 Journal of Functional Analysis 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Tôhoku Mathematical Journal. Second Series 3 Geometric and Functional Analysis. GAFA 3 Communications in Partial Differential Equations 3 Bulletin of the American Mathematical Society. New Series 3 Expositiones Mathematicae 3 Geometry & Topology 2 Bulletin of the Australian Mathematical Society 2 Israel Journal of Mathematics 2 Mathematical Notes 2 Annales de l’Institut Fourier 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Bulletin of the London Mathematical Society 2 Colloquium Mathematicum 2 Proceedings of the Japan Academy. Series A 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Acta Mathematica Sinica. New Series 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Qualitative Theory of Dynamical Systems 2 Analysis & PDE 1 Applicable Analysis 1 Letters in Mathematical Physics 1 Ukrainian Mathematical Journal 1 Beiträge zur Algebra und Geometrie 1 Applied Mathematics and Optimization 1 Boletim da Sociedade Brasileira de Matemática 1 Bulletin de la Société Mathématique de France 1 Glasgow Mathematical Journal 1 Journal of Optimization Theory and Applications 1 Kodai Mathematical Journal 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Siberian Mathematical Journal 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 Computer Aided Geometric Design 1 \(K\)-Theory 1 Forum Mathematicum 1 Sugaku Expositions 1 International Journal of Mathematics 1 IMRN. International Mathematics Research Notices 1 Proceedings of the National Academy of Sciences of the United States of America 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 Experimental Mathematics 1 Potential Analysis 1 Topological Methods in Nonlinear Analysis 1 Bulletin des Sciences Mathématiques 1 Vietnam Journal of Mathematics 1 Communications in Contemporary Mathematics 1 Journal of High Energy Physics 1 Lobachevskii Journal of Mathematics 1 Annales Henri Poincaré 1 La Gaceta de la Real Sociedad Matemática Española 1 Advances in Geometry 1 Miscelánea Matemática 1 Journal of the Australian Mathematical Society 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Frontiers of Mathematics in China 1 Journal of Topology and Analysis 1 São Paulo Journal of Mathematical Sciences 1 Science China. Mathematics 1 Antiquitates Mathematicae 1 European Journal of Mathematics 1 AIMS Mathematics 1 Enumerative Combinatorics and Applications all top 5 Cited in 34 Fields 198 Differential geometry (53-XX) 68 Global analysis, analysis on manifolds (58-XX) 50 Several complex variables and analytic spaces (32-XX) 22 Manifolds and cell complexes (57-XX) 21 Algebraic geometry (14-XX) 20 Functions of a complex variable (30-XX) 19 Partial differential equations (35-XX) 19 Dynamical systems and ergodic theory (37-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 8 Ordinary differential equations (34-XX) 7 Real functions (26-XX) 5 Group theory and generalizations (20-XX) 5 Algebraic topology (55-XX) 3 Topological groups, Lie groups (22-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 2 History and biography (01-XX) 2 Convex and discrete geometry (52-XX) 2 General topology (54-XX) 2 Fluid mechanics (76-XX) 2 Quantum theory (81-XX) 2 Relativity and gravitational theory (83-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 \(K\)-theory (19-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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