Luigi Verdiani

405 total citations
14 papers, 186 citations indexed

About

Luigi Verdiani is a scholar working on Applied Mathematics, Geometry and Topology and Astronomy and Astrophysics. According to data from OpenAlex, Luigi Verdiani has authored 14 papers receiving a total of 186 indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Applied Mathematics, 13 papers in Geometry and Topology and 6 papers in Astronomy and Astrophysics. Recurrent topics in Luigi Verdiani's work include Geometric Analysis and Curvature Flows (14 papers), Geometry and complex manifolds (11 papers) and Advanced Differential Geometry Research (6 papers). Luigi Verdiani is often cited by papers focused on Geometric Analysis and Curvature Flows (14 papers), Geometry and complex manifolds (11 papers) and Advanced Differential Geometry Research (6 papers). Luigi Verdiani collaborates with scholars based in Italy, United States and South Korea. Luigi Verdiani's co-authors include Wolfgang Ziller, Karsten Grove, Kang‐Tae Kim, Fabio Podestà and Burkhard Wilking and has published in prestigious journals such as Journal of Differential Geometry, Mathematische Zeitschrift and Geometric and Functional Analysis.

In The Last Decade

Luigi Verdiani

14 papers receiving 164 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Luigi Verdiani Italy	10	157	154	68	59	4	14	186
Cláudio Gorodski Brazil	8	116 0.7×	121 0.8×	58 0.9×	45 0.8×	4 1.0×	33	155
Joseph E. Borzellino United States	7	87 0.6×	108 0.7×	57 0.8×	23 0.4×	2 0.5×	17	117
José Carlos Díaz-Ramos Spain	10	194 1.2×	197 1.3×	33 0.5×	79 1.3×		27	221
Daniele Angella Italy	8	84 0.5×	136 0.9×	78 1.1×	13 0.2×	6 1.5×	25	142
Christina W. Tønnesen-Friedman United States	9	163 1.0×	169 1.1×	34 0.5×	32 0.5×	1 0.3×	23	172
Isabel Fernández Spain	7	136 0.9×	111 0.7×	12 0.2×	40 0.7×	9 2.3×	20	142
Kento Fujita Japan	7	189 1.2×	251 1.6×	60 0.9×	5 0.1×	2 0.5×	26	259
Dorel Fetcu Romania	9	197 1.3×	190 1.2×	9 0.1×	107 1.8×		23	197
S. Ivashkovich France	9	180 1.1×	213 1.4×	54 0.8×	4 0.1×	6 1.5×	26	238

Countries citing papers authored by Luigi Verdiani

Since Specialization

Citations

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

Fields of papers citing papers by Luigi Verdiani

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Luigi Verdiani

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

All Works

Sort: Min cites: Since: Top N: Style:

14 of 14 papers shown

Verdiani, Luigi & Wolfgang Ziller. (2020). SMOOTHNESS CONDITIONS IN COHOMOGENEITY ONE MANIFOLDS. Transformation Groups. 27(1). 311–342. 5 indexed citations

Verdiani, Luigi. (2013). CONCAVITY AND RIGIDITY IN NON-NEGATIVE CURVATURE. 10 indexed citations

Grove, Karsten, Luigi Verdiani, & Wolfgang Ziller. (2011). An Exotic $${T_{1}\mathbb{S}^4}$$ with Positive Curvature. Geometric and Functional Analysis. 21(3). 499–524. 27 indexed citations

Grove, Karsten, Luigi Verdiani, & Wolfgang Ziller. (2011). AN EXOTIC T1S 4 WITH POSITIVE CURVATURE. 16 indexed citations

Verdiani, Luigi & Wolfgang Ziller. (2010). Obstructions to positive curvature. arXiv (Cornell University). 1 indexed citations

Grove, Karsten, Luigi Verdiani, Burkhard Wilking, & Wolfgang Ziller. (2009). Non-negative curvature obstructions in cohomogeneity one and the Kervaire spheres. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. 159–170. 16 indexed citations

Grove, Karsten, Luigi Verdiani, & Wolfgang Ziller. (2008). A new type of a positively curved manifold. arXiv (Cornell University). 7 indexed citations

Verdiani, Luigi & Wolfgang Ziller. (2008). Positively curved homogeneous metrics on spheres. Mathematische Zeitschrift. 261(3). 473–488. 18 indexed citations

Verdiani, Luigi. (2004). Cohomogeneity One Manifolds of Even Dimension with Strictly Positive Sectional Curvature. Journal of Differential Geometry. 68(1). 30 indexed citations

10.

Kim, Kang‐Tae & Luigi Verdiani. (2004). Complexn-dimensional manifolds with a realn 2-dimensional automorphism group. Journal of Geometric Analysis. 14(4). 701–713. 13 indexed citations

11.

Verdiani, Luigi. (2002). Cohomogeneity one Riemannian manifolds of even dimension with strictly positive curvature, I. Mathematische Zeitschrift. 241(2). 329–339. 19 indexed citations

12.

Podestà, Fabio & Luigi Verdiani. (2000). A NOTE ON QUATERNION–KÄHLER MANIFOLDS. International Journal of Mathematics. 11(2). 279–283. 4 indexed citations

13.

Verdiani, Luigi. (1999). Invariant Metrics on Cohomogeneity One Manifolds. Geometriae Dedicata. 77(1). 77–110. 11 indexed citations

14.

Podestà, Fabio & Luigi Verdiani. (1998). Totally Geodesic Orbits of Isometries. Annals of Global Analysis and Geometry. 16(5). 399–412. 9 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.

Explore authors with similar magnitude of impact