Luc Vrancken
- Applied Mathematics top 0.2%
- Geometry and Topology top 0.2%
- Astronomy and Astrophysics top 2%
- Computational Mechanics top 10%
- Mathematical Physics top 10%
- Co-authors
- Franki DillenLeopold VerstraelenBang‐Yen ChenHaizhong LiZejun HuJoeri Van der VekenUdo SimonRyszard Deszcz
- Topics
- Geometric Analysis and Curvature Flows (163 papers)Geometry and complex manifolds (109 papers)Advanced Differential Geometry Research (75 papers)
- Journals
- Journal of Mathematical Analysis and ApplicationsTransactions of the American Mathematical SocietyJournal of Mathematical Physics
- Partner nations
- BelgiumFranceUnited States
In The Last Decade
Luc Vrancken
176 papers receiving 1.8k citations
Peers
Comparison fields: 5 of 37
- Applied Mathematics 2.0k
- Geometry and Topology 1.5k
- Astronomy and Astrophysics 1.1k
- Computational Mechanics 103
- Mathematical Physics 57
Countries citing papers authored by Luc Vrancken
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
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
| # | Work | Indexed citations |
|---|---|---|
| 1 | Null pseudo-isotropic Lagrangian surfaces | 2 |
| 2 | 8 | |
| 3 | 3 | |
| 4 | Classification of constant angle surfaces in a warped product | 13 |
| 5 | 9 | |
| 6 | Minimal tensor product surfaces of two pseudo-Euclidean curves | 0 |
| 7 | 10 | |
| 8 | 7 | |
| 9 | Lagrangian immersions satisfying Chen's equality | 2 |
| 10 | A pointwise inequality in submanifold theory | 57 |
| 11 | 6 | |
| 12 | A new intrinsic curvature invariant for centroaffine hypersurfaces. | 11 |
| 13 | Calabi Curves as Holomorphic Legendre Curves and Chen's Inequality | 16 |
| 14 | 3-type Curves on Hyperboloids of Revolution and Cones of Revolution | 1 |
| 15 | A Variational Minimal Principle and its Applications | 1 |
| 16 | 7 | |
| 17 | 45 | |
| 18 | A variational minimal principle characterizes submanifolds of finite type | 10 |
| 19 | 28 | |
| 20 | C-totally real submanifolds of Sasakian space forms | 12 |
About Luc Vrancken
Luc Vrancken is a scholar working on Geometry and Topology, Applied Mathematics and Astronomy and Astrophysics, having authored 189 papers that have together received 2.0k indexed citations. Recurring topics across this work include Geometric Analysis and Curvature Flows (163 papers), Geometry and complex manifolds (109 papers) and Advanced Differential Geometry Research (75 papers). The work is most often cited by research in Applied Mathematics (2.0k citations), Geometry and Topology (1.5k citations) and Astronomy and Astrophysics (1.1k citations). Luc Vrancken has collaborated with scholars based in Belgium, France and United States. Frequent 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. Their work appears in journals such as Journal of Mathematical Analysis and Applications, Transactions of the American Mathematical Society and Journal of Mathematical Physics.
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.