W. Ambrose

1.4k total citations
8 papers, 405 citations indexed

About

W. Ambrose is a scholar working on Astronomy and Astrophysics, Geometry and Topology and Applied Mathematics. According to data from OpenAlex, W. Ambrose has authored 8 papers receiving a total of 405 indexed citations (citations by other indexed papers that have themselves been cited), including 4 papers in Astronomy and Astrophysics, 2 papers in Geometry and Topology and 2 papers in Applied Mathematics. Recurrent topics in W. Ambrose's work include Advanced Differential Geometry Research (3 papers), Geometric Analysis and Curvature Flows (2 papers) and Relativity and Gravitational Theory (2 papers). W. Ambrose is often cited by papers focused on Advanced Differential Geometry Research (3 papers), Geometric Analysis and Curvature Flows (2 papers) and Relativity and Gravitational Theory (2 papers). W. Ambrose collaborates with scholars based in United States and Argentina. W. Ambrose's co-authors include I. M. Singer and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Duke Mathematical Journal.

In The Last Decade

W. Ambrose

7 papers receiving 298 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
W. Ambrose United States	6	278	222	207	83	41	8	405
Hideki Ozeki Japan	11	251 0.9×	237 1.1×	134 0.6×	135 1.6×	34 0.8×	14	384
Shigeru Ishihara Japan	18	674 2.4×	554 2.5×	398 1.9×	112 1.3×	44 1.1×	53	836
Shun-ichi Tachibana Japan	15	561 2.0×	469 2.1×	377 1.8×	90 1.1×	105 2.6×	39	742
健太郎矢野	8	689 2.5×	601 2.7×	435 2.1×	80 1.0×	50 1.2×	10	826
H. E. Rauch United States	12	221 0.8×	342 1.5×	59 0.3×	168 2.0×	47 1.1×	31	545
Walter A. Poor United States	5	162 0.6×	137 0.6×	109 0.5×	56 0.7×	14 0.3×	12	258
John Douglas Moore United States	9	478 1.7×	373 1.7×	206 1.0×	66 0.8×	10 0.2×	34	580
Joel L. Weiner United States	11	148 0.5×	113 0.5×	129 0.6×	31 0.4×	56 1.4×	33	317
Tominosuke Ôtsuki Japan	13	554 2.0×	394 1.8×	287 1.4×	99 1.2×	7 0.2×	67	641
Robert J. Sibner United States	11	165 0.6×	144 0.6×	33 0.2×	109 1.3×	73 1.8×	25	317

Countries citing papers authored by W. Ambrose

Since Specialization

Citations

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

Fields of papers citing papers by W. Ambrose

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of W. Ambrose

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

All Works

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8 of 8 papers shown

1.

Ambrose, W.. (1967). On characteristic vector fields. Illinois Journal of Mathematics. 11(2).

2.

Ambrose, W.. (1965). Higher order Grassmann bundles. Topology. 3. 199–238. 4 indexed citations

3.

Ambrose, W.. (1961). The Index Theorem in Riemannian Geometry. Annals of Mathematics. 73(1). 49–49. 27 indexed citations

4.

Ambrose, W.. (1960). The Cartan Structural Equations in Classical Riemannian Geometry. Journal of the Indian Mathematical Society. 24. 23–76. 16 indexed citations

5.

Ambrose, W. & I. M. Singer. (1958). On homogeneous Riemannian manifolds. Duke Mathematical Journal. 25(4). 122 indexed citations

6.

Ambrose, W.. (1957). A theorem of Myers. Duke Mathematical Journal. 24(3). 48 indexed citations

7.

Ambrose, W.. (1956). Parallel Translation of Riemannian Curvature. Annals of Mathematics. 64(2). 337–337. 28 indexed citations

8.

Ambrose, W. & I. M. Singer. (1953). A theorem on holonomy. Transactions of the American Mathematical Society. 75(3). 428–443. 160 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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