Frederico Xavier

741 total citations
32 papers, 426 citations indexed

About

Frederico Xavier is a scholar working on Geometry and Topology, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, Frederico Xavier has authored 32 papers receiving a total of 426 indexed citations (citations by other indexed papers that have themselves been cited), including 24 papers in Geometry and Topology, 19 papers in Applied Mathematics and 12 papers in Mathematical Physics. Recurrent topics in Frederico Xavier's work include Geometric Analysis and Curvature Flows (15 papers), Advanced Differential Equations and Dynamical Systems (14 papers) and Mathematical Dynamics and Fractals (9 papers). Frederico Xavier is often cited by papers focused on Geometric Analysis and Curvature Flows (15 papers), Advanced Differential Equations and Dynamical Systems (14 papers) and Mathematical Dynamics and Fractals (9 papers). Frederico Xavier collaborates with scholars based in United States, Brazil and China. Frederico Xavier's co-authors include Luquésio P. Jorge, Brian Smyth, Harold Donnelly, Jianguo Cao, Allen Weitsman, Laurence R. Taylor, Gang Li, Luis Fernando Mello and Xiaoyang Chen and has published in prestigious journals such as Annals of Mathematics, Inventiones mathematicae and Journal of Differential Equations.

In The Last Decade

Frederico Xavier

31 papers receiving 346 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Frederico Xavier United States	11	333	312	91	68	36	32	426
Jon Wolfson United States	13	547 1.6×	480 1.5×	148 1.6×	112 1.6×	25 0.7×	27	619
María Aparecida Soares Ruas Brazil	10	238 0.7×	174 0.6×	97 1.1×	30 0.4×	56 1.6×	58	347
Bo Berndtsson Sweden	15	675 2.0×	644 2.1×	238 2.6×	55 0.8×	27 0.8×	39	832
Masahiko Kanai Japan	6	219 0.7×	245 0.8×	150 1.6×	42 0.6×	67 1.9×	11	338
Brian Smyth United States	13	469 1.4×	505 1.6×	46 0.5×	212 3.1×	21 0.6×	24	568
James J. Hebda United States	9	198 0.6×	196 0.6×	116 1.3×	51 0.8×	34 0.9×	32	291
Gilbert Hector France	10	304 0.9×	189 0.6×	254 2.8×	24 0.4×	30 0.8×	23	408
Jiri Dadok United States	10	228 0.7×	210 0.7×	204 2.2×	47 0.7×	17 0.5×	22	385
Goo Ishikawa Japan	9	132 0.4×	125 0.4×	73 0.8×	23 0.3×	17 0.5×	47	222
Luquésio P. Jorge Brazil	7	272 0.8×	342 1.1×	51 0.6×	46 0.7×	26 0.7×	20	392

Countries citing papers authored by Frederico Xavier

Since Specialization

Citations

This map shows the geographic impact of Frederico Xavier's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Frederico Xavier with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Frederico Xavier more than expected).

Fields of papers citing papers by Frederico Xavier

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Frederico Xavier. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Frederico Xavier. The network helps show where Frederico Xavier may publish in the future.

Co-authorship network of co-authors of Frederico Xavier

This figure shows the co-authorship network connecting the top 25 collaborators of Frederico Xavier. A scholar is included among the top collaborators of Frederico Xavier based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Frederico Xavier. Frederico Xavier is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Xavier, Frederico, et al.. (2016). The index of isolated umbilics on surfaces of non-positive curvature. 61(1). 139–149.

Chen, Xiaoyang & Frederico Xavier. (2014). Finiteness of prescribed fibers of local biholomorphisms: a geometric approach. Mathematische Annalen. 362(3-4). 1001–1019. 1 indexed citations

Li, Gang & Frederico Xavier. (2012). Non-Positive Curvature and Global Invertibility of Maps. Journal of Geometric Analysis. 24(3). 1181–1200. 2 indexed citations

Xavier, Frederico, et al.. (2011). Good Shadows, Dynamics and Convex Hulls of Complete Submanifolds. Asian Journal of Mathematics. 15(1). 9–32. 3 indexed citations

Xavier, Frederico, et al.. (2010). A Riemannian Bieberbach estimate. Journal of Differential Geometry. 85(1). 3 indexed citations

Xavier, Frederico. (2007). An index formula for Loewner vector fields. Mathematical Research Letters. 14(5). 865–873. 3 indexed citations

Xavier, Frederico. (2007). RIGIDITY OF THE IDENTITY. Communications in Contemporary Mathematics. 9(5). 691–699. 9 indexed citations

Donnelly, Harold & Frederico Xavier. (2006). Spectral stability of symmetric spaces. Mathematische Zeitschrift. 253(4). 655–658. 1 indexed citations

Cao, Jianguo & Frederico Xavier. (2001). Kähler parabolicity and the Euler number of compact manifolds of non-positive sectional curvature. Mathematische Annalen. 319(3). 483–491. 15 indexed citations

10.

Smyth, Brian & Frederico Xavier. (2001). Eigenvalue Estimates and the Index of Hessian Fields. Bulletin of the London Mathematical Society. 33(1). 109–112. 5 indexed citations

11.

Xavier, Frederico. (1999). Injectivity as a transversality phenomenon in geometries of negative curvature. Illinois Journal of Mathematics. 43(2). 5 indexed citations

12.

Smyth, Brian & Frederico Xavier. (1998). Real solvability of the equation ∂ 2/z ω = ρg and the topology of isolated umbilics. Journal of Geometric Analysis. 8(4). 655–671. 8 indexed citations

13.

Smyth, Brian & Frederico Xavier. (1992). A Sharp Geometric Estimate for the Index of an Umbilic on a Smooth Surface. Bulletin of the London Mathematical Society. 24(2). 176–180. 25 indexed citations

14.

Xavier, Frederico. (1988). Convexity and absolute continuity of the Laplace-Beltrami operator. Mathematische Annalen. 282(4). 579–585. 8 indexed citations

15.

Smyth, Brian & Frederico Xavier. (1987). Efimov's theorem in dimension greater than two. Inventiones mathematicae. 90(3). 443–450. 19 indexed citations

16.

Weitsman, Allen & Frederico Xavier. (1987). Some function theoretic properties of the Gauss map for hyperbolic complete minimal surfaces.. The Michigan Mathematical Journal. 34(2). 7 indexed citations

17.

Donnelly, Harold & Frederico Xavier. (1984). On the Differential Form Spectrum of Negatively Curved Riemannian Manifolds. American Journal of Mathematics. 106(1). 169–169. 65 indexed citations

18.

Xavier, Frederico. (1984). Convex hulls of complete minimal surfaces. Mathematische Annalen. 269(2). 179–182. 21 indexed citations

19.

Xavier, Frederico. (1981). The Gauss Map of a Complete Non-Flat Minimal Surface Cannot Omit 7 Points of the Sphere. Annals of Mathematics. 113(1). 211–211. 48 indexed citations

20.

Jorge, Luquésio P. & Frederico Xavier. (1979). On the existence of complete bounded minimal surfaces in ℝn. Bulletin of the Brazilian Mathematical Society New Series. 10(2). 171–173. 6 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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