Bruce Kleiner

3.5k total citations
62 papers, 1.4k citations indexed

About

Bruce Kleiner is a scholar working on Geometry and Topology, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, Bruce Kleiner has authored 62 papers receiving a total of 1.4k indexed citations (citations by other indexed papers that have themselves been cited), including 49 papers in Geometry and Topology, 43 papers in Applied Mathematics and 23 papers in Mathematical Physics. Recurrent topics in Bruce Kleiner's work include Geometric Analysis and Curvature Flows (36 papers), Geometric and Algebraic Topology (32 papers) and Geometry and complex manifolds (21 papers). Bruce Kleiner is often cited by papers focused on Geometric Analysis and Curvature Flows (36 papers), Geometric and Algebraic Topology (32 papers) and Geometry and complex manifolds (21 papers). Bruce Kleiner collaborates with scholars based in United States, Germany and Israel. Bruce Kleiner's co-authors include Bernhard Leeb, Mario Bonk, Christopher B. Croke, Jeff Cheeger, Dmitri Burago, G. Christopher Hruska, Wu-Yi Hsiang, Michael Kapovich, Mladen Bestvina and Assaf Naor and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of the American Statistical Association and Annals of Mathematics.

In The Last Decade

Bruce Kleiner

59 papers receiving 1.3k citations

Author Peers

Peers are selected by citation overlap in the author's most active subfields. citations · hero ref

Author						Papers	Cites
Bruce Kleiner	1.1k	805	733	199	133	62	1.4k
Peter Scott	1.5k 1.3×	523 0.6×	1.0k 1.4×	241 1.2×	321 2.4×	33	1.6k
Étienne Ghys	1.3k 1.2×	490 0.6×	1.2k 1.6×	212 1.1×	126 0.9×	54	1.6k
Michael Kapovich	1.1k 1.0×	288 0.4×	833 1.1×	101 0.5×	226 1.7×	73	1.3k
Patrick Eberlein	1.1k 1.0×	1.1k 1.4×	836 1.1×	97 0.5×	35 0.3×	40	1.6k
Pierre Pansu	569 0.5×	613 0.8×	303 0.4×	121 0.6×	36 0.3×	38	821
Robion Kirby	1.5k 1.3×	233 0.3×	1.3k 1.8×	217 1.1×	314 2.4×	27	1.7k
Carlo Petronio	709 0.6×	205 0.3×	525 0.7×	139 0.7×	259 1.9×	50	868
Benson Farb	1.6k 1.5×	279 0.3×	1.3k 1.8×	291 1.5×	305 2.3×	65	1.8k
J.-H. Eschenburg	856 0.8×	987 1.2×	303 0.4×	77 0.4×	19 0.1×	51	1.3k
Francis Bonahon	904 0.8×	347 0.4×	710 1.0×	122 0.6×	140 1.1×	34	1.0k

Countries citing papers authored by Bruce Kleiner

Since Specialization

Citations

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

Fields of papers citing papers by Bruce Kleiner

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Bruce Kleiner

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

Kleiner, Bruce, Stefan Müller, László Székelyhidi, & Xiangdong Xie. (2024). Rigidity of Euclidean product structure: breakdown for low Sobolev exponents. Communications on Pure & Applied Analysis. 23(10). 1569–1607.

Kleiner, Bruce, et al.. (2022). Ricci flow and diffeomorphism groups of 3-manifolds. Journal of the American Mathematical Society. 36(2). 563–589. 12 indexed citations

Kleiner, Bruce, et al.. (2022). Morse quasiflats I. Journal für die reine und angewandte Mathematik (Crelles Journal). 2022(784). 53–129. 4 indexed citations

Kleiner, Bruce & John Lott. (2018). Local Collapsing, Orbifolds, and Geometrization. Astérisque. 1 indexed citations

Bestvina, Mladen, Bruce Kleiner, & Michah Sageev. (2016). Quasiflats in $\\mathrm{CAT}(0)$ $2$–complexes. Project Euclid (Cornell University). 8 indexed citations

Kleiner, Bruce & John Lott. (2014). Geometrization of three-dimensional orbifolds via Ricci flow. Astérisque. 101–177. 8 indexed citations

Ambrosio, Luigi, Bruce Kleiner, & Enrico Le Donne. (2009). Rectifiability of Sets of Finite Perimeter in Carnot Groups: Existence of a Tangent Hyperplane. Journal of Geometric Analysis. 19(3). 509–540. 27 indexed citations

Cheeger, Jeff & Bruce Kleiner. (2009). Differentiability of Lipschitz Maps from Metric Measure Spaces to Banach Spaces with the Radon–Nikodym Property. Geometric and Functional Analysis. 19(4). 1017–1028. 31 indexed citations

Biquard, Olivier, Bruce Kleiner, Bernhard Leeb, & Gang Tian. (2008). Differentialgeometrie im Grossen. Oberwolfach Reports. 4(3). 1865–1912. 2 indexed citations

10.

Bestvina, Mladen, Bruce Kleiner, & Michah Sageev. (2008). The asymptotic geometry of right-angled Artin groups, I. Geometry & Topology. 12(3). 1653–1699. 20 indexed citations

11.

Kapovich, Michael & Bruce Kleiner. (2007). The weak hyperbolization conjecture for 3-dimensional CAT(0)-groups. Groups Geometry and Dynamics. 1(1). 61–79. 5 indexed citations

12.

Cheeger, Jeff & Bruce Kleiner. (2006). Generalized differentiation and bi-Lipschitz nonembedding in L 1 ⁎⁎The first author was partially supported by NSF Grant DMS 0105128 and the second by NSF Grant DMS 0505610.. Comptes Rendus Mathématique. 343(5). 297–301. 10 indexed citations

13.

Bonk, Mario & Bruce Kleiner. (2005). Quasi-hyperbolic planes in hyperbolic groups. Proceedings of the American Mathematical Society. 133(9). 2491–2494. 18 indexed citations

14.

Burago, Dmitri & Bruce Kleiner. (2002). Rectifying separated nets. Geometric and Functional Analysis. 12(1). 80–92. 14 indexed citations

15.

Croke, Christopher B. & Bruce Kleiner. (2002). The geodesic flow of a nonpositively curved graph manifold. Geometric and Functional Analysis. 12(3). 479–545. 21 indexed citations

16.

Burago, Dmitri, et al.. (2001). Gluing copies of a 3-dimensional polyhedron to obtain a closed nonpositively curved pseudomanifold. Proceedings of the American Mathematical Society. 129(5). 1493–1498. 5 indexed citations

17.

Croke, Christopher B. & Bruce Kleiner. (2000). Spaces with nonpositive curvature and their ideal boundaries. Topology. 39(3). 549–556. 62 indexed citations

18.

Croke, Christopher B. & Bruce Kleiner. (1998). A rigidity theorem for manifolds without conjugate points. Ergodic Theory and Dynamical Systems. 18(4). 813–829. 1 indexed citations

19.

Croke, Christopher B. & Bruce Kleiner. (1994). Conjugacy and rigidity for manifolds with a parallel vector field. Journal of Differential Geometry. 39(3). 32 indexed citations

20.

Epstein, Charles L. & Bruce Kleiner. (1993). Spherical means in annular regions. Communications on Pure and Applied Mathematics. 46(3). 441–451. 10 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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