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

Luc Vrancken
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
Franki Dillen Belgium
Leopold Verstraelen Belgium
Udo Simon Germany
Josef Mikeš Czechia
Thomas E. Cecil United States
Sebastián Montiel Spain
Shûkichi Tanno Japan
Dirk Ferus Germany
Aurel Bejancu Kuwait
Harold Rosenberg France
Franki Dillen Belgium View profile →
Citations per field, relative to Luc Vrancken
Luc Vrancken · 1×
Citations per year, relative to Luc Vrancken
Luc Vrancken · 1×

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
# 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

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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2026