Morio Obata

1.9k total citations
23 papers, 1.2k citations indexed

About

Morio Obata is a scholar working on Applied Mathematics, Geometry and Topology and Astronomy and Astrophysics. According to data from OpenAlex, Morio Obata has authored 23 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Applied Mathematics, 13 papers in Geometry and Topology and 9 papers in Astronomy and Astrophysics. Recurrent topics in Morio Obata's work include Geometric Analysis and Curvature Flows (11 papers), Advanced Differential Geometry Research (9 papers) and Algebraic and Geometric Analysis (7 papers). Morio Obata is often cited by papers focused on Geometric Analysis and Curvature Flows (11 papers), Advanced Differential Geometry Research (9 papers) and Algebraic and Geometric Analysis (7 papers). Morio Obata collaborates with scholars based in Japan, United States and United Kingdom. Morio Obata's co-authors include Kentaro Yano and Shigeru Ishihara and has published in prestigious journals such as Transactions of the American Mathematical Society, Journal of Differential Geometry and Bulletin of the American Mathematical Society.

In The Last Decade

Morio Obata

20 papers receiving 914 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Morio Obata Japan	11	1.0k	668	489	217	165	23	1.2k
Shun-ichi Tachibana Japan	15	561 0.5×	469 0.7×	377 0.8×	90 0.4×	39 0.2×	39	742
Reese Harvey United States	18	1.2k 1.1×	996 1.5×	249 0.5×	386 1.8×	158 1.0×	38	1.5k
Robert E. Greene United States	19	818 0.8×	686 1.0×	180 0.4×	271 1.2×	117 0.7×	46	1.1k
J.-H. Eschenburg Germany	16	987 1.0×	856 1.3×	422 0.9×	303 1.4×	77 0.5×	51	1.3k
Shûkichi Tanno Japan	22	1.5k 1.5×	1.2k 1.9×	730 1.5×	185 0.9×	74 0.4×	78	1.6k
Bruce L. Reinhart United States	11	323 0.3×	371 0.6×	191 0.4×	223 1.0×	46 0.3×	23	639
Tadashi Nagano Japan	19	565 0.6×	561 0.8×	262 0.5×	339 1.6×	45 0.3×	54	919
Sebastián Montiel Spain	19	1.1k 1.1×	889 1.3×	541 1.1×	136 0.6×	57 0.3×	42	1.2k
Yoshihiro Tashiro Japan	11	590 0.6×	453 0.7×	359 0.7×	60 0.3×	25 0.2×	33	715
Dirk Ferus Germany	19	850 0.8×	749 1.1×	307 0.6×	172 0.8×	37 0.2×	29	1.0k

Countries citing papers authored by Morio Obata

Since Specialization

Citations

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

Fields of papers citing papers by Morio Obata

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Morio Obata

This figure shows the co-authorship network connecting the top 25 collaborators of Morio Obata. A scholar is included among the top collaborators of Morio Obata 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 Morio Obata. Morio Obata 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

Obata, Morio. (1973). A non-compact Riemannian manifold admitting a transitive group of conformorphisms. Tohoku Mathematical Journal. 25(4). 1 indexed citations

Obata, Morio. (1971). The conjectures on conformal transformations of Riemannian manifolds. Bulletin of the American Mathematical Society. 77(2). 265–270. 64 indexed citations

Obata, Morio. (1971). The conjectures on conformal transformations of Riemannian manifolds. Journal of Differential Geometry. 6(2). 275 indexed citations

Obata, Morio. (1970). Conformally flat Riemannian manifolds admitting a one-parameter group of conformal transformations. Journal of Differential Geometry. 4(3). 5 indexed citations

Obata, Morio, et al.. (1970). Compact Riemannian Manifolds with Essential Groups of Conformorphisms. Transactions of the American Mathematical Society. 150(2). 645–645. 4 indexed citations

Yano, Kentaro & Morio Obata. (1970). Conformal changes of Riemannian metrics. Journal of Differential Geometry. 4(1). 45 indexed citations

Obata, Morio, et al.. (1970). Compact riemannian manifolds with essential groups of conformorphisms.. Transactions of the American Mathematical Society. 150(2). 645–651. 5 indexed citations

Obata, Morio. (1970). Conformal transformations of Riemannian manifolds. Journal of Differential Geometry. 4(3). 69 indexed citations

Obata, Morio, et al.. (1968). Affine and Riemannian $s$-manifolds. Journal of Differential Geometry. 2(4). 37 indexed citations

10.

Obata, Morio. (1968). The Gauss map of immersions of Riemannian manifolds in spaces of constant curvature. Journal of Differential Geometry. 2(2). 58 indexed citations

11.

Obata, Morio. (1962). Certain conditions for a Riemannian manifold to be isometric with a sphere. Journal of the Mathematical Society of Japan. 14(3). 434 indexed citations

12.

Obata, Morio. (1962). Certain conditions for a Riemannian manifold to be isometric with a sphere:Dedicated to Professor Kentaro Yano on his fiftieth birthday. 14(3). 333–340.

13.

Obata, Morio. (1962). Conformal transformations of compact Riemannian manifolds. Illinois Journal of Mathematics. 6(2). 19 indexed citations

14.

Obata, Morio. (1958). On Subgroups of the Orthogonal Group. Transactions of the American Mathematical Society. 87(2). 347–347. 4 indexed citations

15.

Obata, Morio. (1958). Hermitian manifolds with quaternion structure. Tohoku Mathematical Journal. 10(1). 9 indexed citations

16.

Obata, Morio. (1957). Affine connections in a quaternion manifold and transformations preserving the structure.. Journal of the Mathematical Society of Japan. 9(4). 7 indexed citations

17.

Obata, Morio. (1956). Affine transformations in an almost complex manifold with a natural affine connection. Journal of the Mathematical Society of Japan. 8(4). 8 indexed citations

18.

Obata, Morio. (1955). On $n$ -dimensional homogeneous spaces of Lie groups of dimension greater than $n(n-1)/2$ .. Journal of the Mathematical Society of Japan. 7(4). 19 indexed citations

19.

Ishihara, Shigeru & Morio Obata. (1955). On a homogeneous space with invariant affine connection. Proceedings of the Japan Academy Series A Mathematical Sciences. 31(7). 2 indexed citations

20.

Ishihara, Shigeru & Morio Obata. (1955). On the group of conformal transformations of a Riemannian manifold. Proceedings of the Japan Academy Series A Mathematical Sciences. 31(7). 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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