Jaak Vilms

632 total citations
15 papers, 395 citations indexed

About

Jaak Vilms is a scholar working on Applied Mathematics, Astronomy and Astrophysics and Geometry and Topology. According to data from OpenAlex, Jaak Vilms has authored 15 papers receiving a total of 395 indexed citations (citations by other indexed papers that have themselves been cited), including 10 papers in Applied Mathematics, 8 papers in Astronomy and Astrophysics and 5 papers in Geometry and Topology. Recurrent topics in Jaak Vilms's work include Geometric Analysis and Curvature Flows (9 papers), Advanced Differential Geometry Research (8 papers) and Point processes and geometric inequalities (3 papers). Jaak Vilms is often cited by papers focused on Geometric Analysis and Curvature Flows (9 papers), Advanced Differential Geometry Research (8 papers) and Point processes and geometric inequalities (3 papers). Jaak Vilms collaborates with scholars based in . Jaak Vilms's co-authors include Ernst A. Ruh and has published in prestigious journals such as Transactions of the American Mathematical Society, Pacific Journal of Mathematics and Journal of Differential Geometry.

In The Last Decade

Jaak Vilms

13 papers receiving 248 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Jaak Vilms 8 309 243 181 62 38 15 395
John Douglas Moore United States 9 478 1.5× 373 1.5× 206 1.1× 66 1.1× 39 1.0× 34 580
Brian Smyth United States 13 505 1.6× 469 1.9× 212 1.2× 46 0.7× 20 0.5× 24 568
Seiki Nishikawa Japan 9 258 0.8× 215 0.9× 130 0.7× 48 0.8× 22 0.6× 32 312
Frederico Xavier United States 11 312 1.0× 333 1.4× 68 0.4× 91 1.5× 35 0.9× 32 426
Gerard Walschap United States 9 264 0.9× 233 1.0× 143 0.8× 88 1.4× 9 0.2× 37 330
Hisao Nakagawa Japan 12 351 1.1× 304 1.3× 200 1.1× 39 0.6× 10 0.3× 34 381
Hans Münzner Germany 5 202 0.7× 195 0.8× 50 0.3× 68 1.1× 13 0.3× 12 289
Norihito Koiso Japan 11 283 0.9× 231 1.0× 172 1.0× 48 0.8× 22 0.6× 26 336
S. I. Goldberg United States 11 327 1.1× 302 1.2× 136 0.8× 55 0.9× 14 0.4× 33 384
Jost-Hinrich Eschenburg Germany 6 206 0.7× 176 0.7× 66 0.4× 76 1.2× 12 0.3× 17 249

Countries citing papers authored by Jaak Vilms

Since Specialization
Citations

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

Fields of papers citing papers by Jaak Vilms

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Jaak Vilms

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

All Works

15 of 15 papers shown
1.
Vilms, Jaak, et al.. (1984). On the Gauss equation of an isometric immersion. Duke Mathematical Journal. 51(2). 6 indexed citations
2.
Vilms, Jaak. (1980). On curvature operators of bounded rank. Pacific Journal of Mathematics. 87(2). 467–473. 13 indexed citations
3.
Vilms, Jaak. (1980). Factorization of curvature operators. Transactions of the American Mathematical Society. 260(2). 595–605. 5 indexed citations
4.
Vilms, Jaak. (1980). Factorization of Curvature Operators. Transactions of the American Mathematical Society. 260(2). 595–595. 3 indexed citations
5.
Vilms, Jaak. (1977). Local isometric imbedding of Riemannian $n$-manifolds into Euclidean $(n+1)$-space. Journal of Differential Geometry. 12(2). 9 indexed citations
6.
Vilms, Jaak. (1972). Submanifolds of Euclidean Space with Parallel Second Fundamental Form. Proceedings of the American Mathematical Society. 32(1). 263–263. 6 indexed citations
7.
Vilms, Jaak. (1972). Submanifolds of Euclidean space with parallel second fundamental form.. Proceedings of the American Mathematical Society. 32(1). 263–263. 22 indexed citations
8.
Vilms, Jaak. (1971). Nonlinear and Direction Connections. Proceedings of the American Mathematical Society. 28(2). 567–567. 1 indexed citations
9.
Vilms, Jaak. (1971). Nonlinear and direction connections. Proceedings of the American Mathematical Society. 28(2). 567–572. 2 indexed citations
10.
Ruh, Ernst A. & Jaak Vilms. (1970). The Tension Field of the Gauss Map. Transactions of the American Mathematical Society. 149(2). 569–569. 44 indexed citations
11.
Vilms, Jaak. (1970). Totally geodesic maps. Journal of Differential Geometry. 4(1). 84 indexed citations
12.
Ruh, Ernst A. & Jaak Vilms. (1970). The tension field of the Gauss map. Transactions of the American Mathematical Society. 149(2). 569–569. 140 indexed citations
13.
Vilms, Jaak. (1968). Curvature of Nonlinear Connections. Proceedings of the American Mathematical Society. 19(5). 1125–1125. 5 indexed citations
14.
Vilms, Jaak. (1968). Curvature of nonlinear connections. Proceedings of the American Mathematical Society. 19(5). 1125–1129. 7 indexed citations
15.
Vilms, Jaak. (1967). Connections on tangent bundles. Journal of Differential Geometry. 1(3-4). 48 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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