Luc Vrancken

3.1k total citations
189 papers, 2.0k citations indexed

About

Luc Vrancken is a scholar working on Applied Mathematics, Geometry and Topology and Astronomy and Astrophysics. According to data from OpenAlex, Luc Vrancken has authored 189 papers receiving a total of 2.0k indexed citations (citations by other indexed papers that have themselves been cited), including 168 papers in Applied Mathematics, 146 papers in Geometry and Topology and 75 papers in Astronomy and Astrophysics. Recurrent topics in Luc Vrancken's work include Geometric Analysis and Curvature Flows (163 papers), Geometry and complex manifolds (109 papers) and Advanced Differential Geometry Research (75 papers). Luc Vrancken is often cited by papers focused on Geometric Analysis and Curvature Flows (163 papers), Geometry and complex manifolds (109 papers) and Advanced Differential Geometry Research (75 papers). Luc Vrancken collaborates with scholars based in Belgium, France and United States. Luc Vrancken's co-authors include Franki Dillen, Leopold Verstraelen, Bang‐Yen Chen, Haizhong Li, Zejun Hu, Joeri Van der Veken, Udo Simon, Ryszard Deszcz, John Bolton and Marcus Kriele and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Transactions of the American Mathematical Society and Journal of Mathematical Physics.

In The Last Decade

Luc Vrancken

176 papers receiving 1.8k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Luc Vrancken Belgium 24 2.0k 1.5k 1.1k 103 57 189 2.0k
Franki Dillen Belgium 25 1.7k 0.9× 1.3k 0.9× 881 0.8× 141 1.4× 72 1.3× 117 1.8k
Leopold Verstraelen Belgium 23 1.4k 0.7× 1.1k 0.7× 895 0.8× 108 1.0× 50 0.9× 125 1.6k
Udo Simon Germany 18 921 0.5× 707 0.5× 399 0.4× 121 1.2× 63 1.1× 85 1.1k
Josef Mikeš Czechia 16 903 0.5× 616 0.4× 844 0.8× 37 0.4× 64 1.1× 128 1.1k
Thomas E. Cecil United States 16 847 0.4× 769 0.5× 407 0.4× 89 0.9× 128 2.2× 35 1.0k
Sebastián Montiel Spain 19 1.1k 0.6× 889 0.6× 541 0.5× 56 0.5× 136 2.4× 42 1.2k
Shûkichi Tanno Japan 22 1.5k 0.8× 1.2k 0.8× 730 0.7× 36 0.3× 185 3.2× 78 1.6k
Dirk Ferus Germany 19 850 0.4× 749 0.5× 307 0.3× 70 0.7× 172 3.0× 29 1.0k
Aurel Bejancu Kuwait 13 927 0.5× 721 0.5× 681 0.6× 41 0.4× 48 0.8× 55 1.2k
Harold Rosenberg France 26 1.8k 0.9× 1.4k 0.9× 301 0.3× 92 0.9× 177 3.1× 107 1.9k

Countries citing papers authored by Luc Vrancken

Since Specialization
Citations

This map shows the geographic impact of Luc Vrancken'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 Luc Vrancken with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Luc Vrancken more than expected).

Fields of papers citing papers by Luc Vrancken

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Luc Vrancken. 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 Luc Vrancken. The network helps show where Luc Vrancken may publish in the future.

Co-authorship network of co-authors of Luc Vrancken

This figure shows the co-authorship network connecting the top 25 collaborators of Luc Vrancken. A scholar is included among the top collaborators of Luc Vrancken 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 Luc Vrancken. Luc Vrancken is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Carriazo, Alfonso, et al.. (2018). Null pseudo-isotropic Lagrangian surfaces. LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas). 2 indexed citations
2.
Veken, Joeri Van der, et al.. (2018). Lagrangian submanifolds with constant angle functions of the nearly Kähler S3×S3. Journal of Geometry and Physics. 127. 1–13. 8 indexed citations
3.
Dillen, Franki, et al.. (2011). Special Lagrangian 4-folds with $SO(2)\\rtimes S_3$-Symmetry in Complex\n Space Forms. arXiv (Cornell University). 3 indexed citations
4.
Dillen, Franki, Marian Ioan Munteanu, Joeri Van der Veken, & Luc Vrancken. (2011). Classification of constant angle surfaces in a warped product. Lirias (KU Leuven). 16(2). 35–47. 13 indexed citations
5.
Chen, Bang‐Yen, Franki Dillen, & Luc Vrancken. (2011). Lagrangian submanifolds in complex space forms attaining equality in a basic inequality. Journal of Mathematical Analysis and Applications. 387(1). 139–152. 9 indexed citations
6.
Vrancken, Luc, et al.. (2010). Minimal tensor product surfaces of two pseudo-Euclidean curves. Lirias (KU Leuven). 16(2). 62–69.
7.
Vrancken, Luc, et al.. (2006). 4-dimensional minimal CR submanifolds of the sphere S6 satisfying Chen's equality. Differential Geometry and its Applications. 25(3). 290–298. 10 indexed citations
8.
Vrancken, Luc, et al.. (2001). Lagrangian submanifolds of the three dimensional complex projective space. Journal of the Mathematical Society of Japan. 53(3). 603–631. 7 indexed citations
9.
Bolton, J. Stuart, Christine Scharlach, Luc Vrancken, & L. M. Woodward. (2001). Lagrangian immersions satisfying Chen's equality. Data Archiving and Networked Services (DANS). 2 indexed citations
10.
Smet, Pieter, Franki Dillen, Leopold Verstraelen, & Luc Vrancken. (1999). A pointwise inequality in submanifold theory. Archivum Mathematicum. 35(2). 115–128. 57 indexed citations
11.
Vrancken, Luc. (1998). Killing vector fields and Lagrangian submanifolds of the nearly Kaehler S6. Journal de Mathématiques Pures et Appliquées. 77(7). 631–645. 6 indexed citations
12.
Scharlach, Christine, Udo Simon, Leopold Verstraelen, & Luc Vrancken. (1997). A new intrinsic curvature invariant for centroaffine hypersurfaces.. 38(2). 437–458. 11 indexed citations
13.
Blair, David E., Franki Dillen, Leopold Verstraelen, & Luc Vrancken. (1996). Calabi Curves as Holomorphic Legendre Curves and Chen's Inequality. Kyungpook mathematical journal. 35(3). 407–407. 16 indexed citations
14.
Verstraelen, Leopold, et al.. (1996). 3-type Curves on Hyperboloids of Revolution and Cones of Revolution. Publications de l Institut Mathematique. 138–152. 1 indexed citations
15.
Chen, Bang‐Yen, Franki Dillen, Luc Vrancken, & Leopold Verstraelen. (1996). A Variational Minimal Principle and its Applications. Kyungpook mathematical journal. 35(3). 435–435. 1 indexed citations
16.
Dillen, Franki & Luc Vrancken. (1994). Quasi-umbilical, locally strongly convex homogeneous affine hypersurfaces. Journal of the Mathematical Society of Japan. 46(3). 7 indexed citations
17.
Dillen, Franki & Luc Vrancken. (1994). Calabi-type composition of affine spheres. Differential Geometry and its Applications. 4(4). 303–328. 45 indexed citations
18.
Chen, Bang‐Yen, Franki Dillen, Leopold Verstraelen, & Luc Vrancken. (1993). A variational minimal principle characterizes submanifolds of finite type. 317(10). 961–965. 10 indexed citations
19.
Dillen, Franki, Leopold Verstraelen, & Luc Vrancken. (1990). Classification of totally real 3-dimensional submanifolds of S6(1) with K≧1/16. Journal of the Mathematical Society of Japan. 42(4). 28 indexed citations
20.
Dillen, Franki & Luc Vrancken. (1990). C-totally real submanifolds of Sasakian space forms. Journal de Mathématiques Pures et Appliquées. 69(1). 85–93. 12 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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