Toshiki Mabuchi

1.7k total citations
40 papers, 629 citations indexed

About

Toshiki Mabuchi is a scholar working on Geometry and Topology, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, Toshiki Mabuchi has authored 40 papers receiving a total of 629 indexed citations (citations by other indexed papers that have themselves been cited), including 37 papers in Geometry and Topology, 29 papers in Applied Mathematics and 18 papers in Mathematical Physics. Recurrent topics in Toshiki Mabuchi's work include Geometry and complex manifolds (31 papers), Geometric Analysis and Curvature Flows (28 papers) and Algebraic Geometry and Number Theory (17 papers). Toshiki Mabuchi is often cited by papers focused on Geometry and complex manifolds (31 papers), Geometric Analysis and Curvature Flows (28 papers) and Algebraic Geometry and Number Theory (17 papers). Toshiki Mabuchi collaborates with scholars based in Japan, United States and France. Toshiki Mabuchi's co-authors include Akito Futaki, Shigetoshi Bando, Yasuhiro Nakagawa, Andrew Hwang, Takushiro Ochiai, Yoshiaki Maeda, Alan Weinstein, Junjirō Noguchi and Yusuke Sakane and has published in prestigious journals such as Inventiones mathematicae, Mathematische Annalen and Journal of the Mathematical Society of Japan.

In The Last Decade

Toshiki Mabuchi

37 papers receiving 535 citations

Peers

Toshiki Mabuchi

GT

AM

MP

AA

SNP

Akito Futaki Japan

Vestislav Apostolov Canada

Xiaohua Zhu China

P. M. Gadea Spain

Sławomir Kołodziej Poland

Ahmed Zériahi France

Yoshihiro Ohnita Japan

Abdelghani Zeghib France

Gábor Székelyhidi United States

Valentino Tosatti United States

Akito Futaki Japan

Toshiki Mabuchi

676 ×1.1

GT

664 ×1.2

AM

161 ×1.1

MP

164 ×1.4

AA

29 ×0.8

SNP

Citations per year, relative to Toshiki Mabuchi Toshiki Mabuchi (= 1×) peers Akito Futaki

Countries citing papers authored by Toshiki Mabuchi

Since Specialization

Citations

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

Fields of papers citing papers by Toshiki Mabuchi

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Toshiki Mabuchi

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

All Works

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20 of 20 papers shown

1.

Bando, Shigetoshi & Toshiki Mabuchi. (2018). Uniqueness of Einstein Kähler Metrics Modulo Connected Group Actions. Advanced studies in pure mathematics. 11–40. 22 indexed citations

2.

Futaki, Akito, Toshiki Mabuchi, & Yusuke Sakane. (2018). Einstein–Kähler Metrics with Positive Ricci Curvature. Advanced studies in pure mathematics. 11–83. 1 indexed citations

3.

Ochiai, Takushiro, Toshiki Mabuchi, Yoshiaki Maeda, Junjirō Noguchi, & Alan Weinstein. (2015). Geometry and Analysis on Manifolds. arXiv (Cornell University). 7 indexed citations

4.

Mabuchi, Toshiki. (2014). Relative stability and extremal metrics. Journal of the Mathematical Society of Japan. 66(2). 5 indexed citations

5.

Mabuchi, Toshiki. (2011). Asymptotics of polybalanced metrics under relative stability constraints. Osaka Journal of Mathematics. 48(3). 845–856. 3 indexed citations

6.

Mabuchi, Toshiki. (2009). An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds, II. Osaka Journal of Mathematics. 46(1). 115–139. 10 indexed citations

7.

Mabuchi, Toshiki. (2008). Chow-stability and Hilbert-stability in Mumford's Geometric Invariant Theory. Osaka Journal of Mathematics. 45(3). 833–846. 4 indexed citations

8.

Mabuchi, Toshiki. (2004). Stability of extremal Kahler manifolds. Osaka Journal of Mathematics. 41(3). 563–582. 26 indexed citations

9.

Mabuchi, Toshiki. (2004). An obstruction to asymptotic semistability and approximate critical metrics. OUKA (Osaka University Knowledge Archive) (Osaka University). 41(2). 463–472. 14 indexed citations

10.

Mabuchi, Toshiki. (2004). An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds, I. Inventiones mathematicae. 159(2). 225–243. 39 indexed citations

11.

Mabuchi, Toshiki. (2003). Multiplier Hermitian structures on Kähler manifolds. Nagoya Mathematical Journal. 170. 73–115. 18 indexed citations

12.

Mabuchi, Toshiki. (2002). A THEOREM OF CALABI-MATSUSHIMA'S TYPE. Osaka Journal of Mathematics. 39(1). 49–57. 8 indexed citations

13.

Mabuchi, Toshiki. (2001). Vector Field Energies and Critical Metrics on Kähler Manifolds. Nagoya Mathematical Journal. 162. 41–63. 3 indexed citations

14.

Hwang, Andrew & Toshiki Mabuchi. (1993). A CONJECTURE ON THE GROUP OF BIHOLOMORPHISMS OF A NONSINGULAR FANO VARIETY. International Journal of Mathematics. 4(5). 833–839. 3 indexed citations

15.

Mabuchi, Toshiki. (1987). Einstein-Kähler forms, Futaki invariants and convex geometry on toric Fano varieties. Osaka Journal of Mathematics. 24(4). 705–737. 48 indexed citations

16.

Mabuchi, Toshiki. (1987). Some symplectic geometry on compact Kähler manifolds. I. Osaka Journal of Mathematics. 24(2). 227–252. 93 indexed citations

17.

Mabuchi, Toshiki. (1985). A functional integrating Futaki's invariant. Proceedings of the Japan Academy Series A Mathematical Sciences. 61(4). 5 indexed citations

18.

Mabuchi, Toshiki. (1979). On the classification of essentially effective SL(2;C)SL(2;C)-actions on algebraic threefolds. Osaka Journal of Mathematics. 16(3). 727–744. 1 indexed citations

19.

Mabuchi, Toshiki. (1979). On the classification of essentially effective SL(n;C)-actions on algebraic n-folds. Osaka Journal of Mathematics. 16(3). 745–758. 7 indexed citations

20.

Mabuchi, Toshiki. (1979). Equivariant embeddings of normal bundles of fixed point loci. Osaka Journal of Mathematics. 16(3). 707–725. 1 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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