Hirohiko Shima

738 total citations
21 papers, 374 citations indexed

About

Hirohiko Shima is a scholar working on Geometry and Topology, Applied Mathematics and Astronomy and Astrophysics. According to data from OpenAlex, Hirohiko Shima has authored 21 papers receiving a total of 374 indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Geometry and Topology, 15 papers in Applied Mathematics and 4 papers in Astronomy and Astrophysics. Recurrent topics in Hirohiko Shima's work include Geometric Analysis and Curvature Flows (13 papers), Geometry and complex manifolds (11 papers) and Geometric and Algebraic Topology (5 papers). Hirohiko Shima is often cited by papers focused on Geometric Analysis and Curvature Flows (13 papers), Geometry and complex manifolds (11 papers) and Geometric and Algebraic Topology (5 papers). Hirohiko Shima collaborates with scholars based in Japan and China. Hirohiko Shima's co-authors include Katsumi Yagi and Akio Kodama and has published in prestigious journals such as Transactions of the American Mathematical Society, Journal of Differential Geometry and Mathematische Annalen.

In The Last Decade

Hirohiko Shima

20 papers receiving 329 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Hirohiko Shima Japan 9 238 218 78 67 62 21 374
Edmond Mazet France 3 391 1.6× 267 1.2× 109 1.4× 45 0.7× 190 3.1× 9 548
H. E. Rauch United States 12 221 0.9× 342 1.6× 59 0.8× 75 1.1× 168 2.7× 31 545
A. H. Dooley Australia 12 268 1.1× 243 1.1× 37 0.5× 65 1.0× 390 6.3× 71 598
Stephen Parrott United States 7 170 0.7× 57 0.3× 60 0.8× 38 0.6× 178 2.9× 10 396
H. L. Royden United States 15 478 2.0× 446 2.0× 41 0.5× 33 0.5× 223 3.6× 43 725
Ernst Binz Germany 9 47 0.2× 150 0.7× 40 0.5× 27 0.4× 123 2.0× 49 347
Hajime Urakawa Japan 16 556 2.3× 476 2.2× 193 2.5× 39 0.6× 171 2.8× 83 696
John W. Rice Australia 6 55 0.2× 59 0.3× 47 0.6× 71 1.1× 65 1.0× 9 238
Masatake Kuranishi Japan 12 200 0.8× 296 1.4× 37 0.5× 95 1.4× 204 3.3× 24 480
Michitake Kita Japan 8 83 0.3× 173 0.8× 21 0.3× 95 1.4× 87 1.4× 14 366

Countries citing papers authored by Hirohiko Shima

Since Specialization
Citations

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

Fields of papers citing papers by Hirohiko Shima

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Hirohiko Shima

This figure shows the co-authorship network connecting the top 25 collaborators of Hirohiko Shima. A scholar is included among the top collaborators of Hirohiko Shima 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 Hirohiko Shima. Hirohiko Shima 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.
Shima, Hirohiko. (2007). The Geometry of Hessian Structures. WORLD SCIENTIFIC eBooks. 66 indexed citations
2.
Shima, Hirohiko, et al.. (2000). Geometry associated with normal distributions. Osaka Journal of Mathematics. 37(2). 509–517. 1 indexed citations
3.
Shima, Hirohiko. (1999). Homogeneous spaces with invariant projectively flat affine connections. Transactions of the American Mathematical Society. 351(12). 4713–4726. 6 indexed citations
4.
Shima, Hirohiko & Katsumi Yagi. (1997). Geometry of Hessian manifolds. Differential Geometry and its Applications. 7(3). 277–290. 50 indexed citations
5.
Shima, Hirohiko. (1995). Hessian manifolds of constant Hessian sectional curvature. Journal of the Mathematical Society of Japan. 47(4). 20 indexed citations
6.
Shima, Hirohiko. (1995). Harmonicity of gradient mappings of level surfaces in a real affine space. Geometriae Dedicata. 56(2). 177–184. 5 indexed citations
7.
Shima, Hirohiko, et al.. (1994). Level surfaces of non-degenerate functions inR n+1. Geometriae Dedicata. 50(2). 193–204. 7 indexed citations
8.
Shima, Hirohiko. (1986). Vanishing theorems for compact hessian manifolds. Annales de l’institut Fourier. 36(3). 183–205. 7 indexed citations
9.
Shima, Hirohiko. (1984). Homogeneous Kählerian manifolds. Japanese journal of mathematics. 10(1). 71–98. 2 indexed citations
10.
Kodama, Akio & Hirohiko Shima. (1983). Characterizations of homogeneous bounded domains. Tsukuba Journal of Mathematics. 7(1). 3 indexed citations
11.
Shima, Hirohiko. (1982). A differential geometric characterization of homogeneous self-dual cones. Tsukuba Journal of Mathematics. 6(1). 8 indexed citations
12.
Shima, Hirohiko. (1980). Homogeneous hessian manifolds. Annales de l’institut Fourier. 30(3). 91–128. 41 indexed citations
13.
Shima, Hirohiko. (1978). Compact locally Hessian manifolds. Osaka Journal of Mathematics. 15(3). 509–513. 12 indexed citations
14.
Shima, Hirohiko. (1977). Symmetric spaces with invariant locally Hessian structures. Journal of the Mathematical Society of Japan. 29(3). 9 indexed citations
15.
Shima, Hirohiko. (1977). Homogeneous convex domains of negative sectional curvature. Journal of Differential Geometry. 12(3). 4 indexed citations
16.
Shima, Hirohiko. (1976). On certain locally flat homogeneous manifolds of solvable Lie groups. Osaka Journal of Mathematics. 13(2). 213–229. 15 indexed citations
17.
Shima, Hirohiko. (1975). On locally symmetric homogeneous domains of completely reducible linear lie groups. Mathematische Annalen. 217(1). 93–95. 3 indexed citations
18.
Shima, Hirohiko. (1973). On homogeneous K\"ahler manifolds of solvable Lie groups. Journal of the Mathematical Society of Japan. 25(3). 4 indexed citations
19.
Shima, Hirohiko. (1973). On homogeneous Kähler manifolds with non-degenerate canonical Hermitian form of signature (2, ,2(n-1)). Osaka Journal of Mathematics. 10(3). 477–493. 4 indexed citations
20.
Shima, Hirohiko. (1970). On homogeneous complex manifolds with negative definite canonical Hermitian form. Proceedings of the Japan Academy Series A Mathematical Sciences. 46(3). 3 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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