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- Bruce Kleiner

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
36
Citations
5,591
86
World Ranking
1789
National Ranking
773

1995 - Fellow of Alfred P. Sloan Foundation

- Mathematical analysis
- Geometry
- Pure mathematics

His primary areas of study are Pure mathematics, Mathematical analysis, Euclidean geometry, Metric and Curvature. His Pure mathematics research incorporates themes from Space and Group. His study ties his expertise on Boundary together with the subject of Mathematical analysis.

His biological study spans a wide range of topics, including Tits alternative, Hadamard transform and Euclidean space, Combinatorics. The Metric study combines topics in areas such as Surface, Banach space and Lipschitz continuity. The various areas that Bruce Kleiner examines in his Curvature study include Mostow rigidity theorem, Piecewise, Isometry and Ideal.

- Notes on Perelman's papers (416 citations)
- Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings (387 citations)
- The local structure of length spaces with curvature bounded above (154 citations)

Bruce Kleiner spends much of his time researching Pure mathematics, Mathematical analysis, Combinatorics, Metric and Metric space. He applies his multidisciplinary studies on Pure mathematics and Rigidity in his research. His research integrates issues of Flow, Mean curvature flow, Curvature, Scalar curvature and Euclidean geometry in his study of Mathematical analysis.

His work carried out in the field of Combinatorics brings together such families of science as Isometry group and Product. His Metric study combines topics from a wide range of disciplines, such as Structure, Algebra, Infinitesimal, Differentiable function and Lipschitz continuity. His work on Intrinsic metric and Injective metric space as part of general Metric space research is often related to Omega, thus linking different fields of science.

- Pure mathematics (63.11%)
- Mathematical analysis (31.15%)
- Combinatorics (16.39%)

- Pure mathematics (63.11%)
- Mathematical analysis (31.15%)
- Ricci flow (9.02%)

Bruce Kleiner mostly deals with Pure mathematics, Mathematical analysis, Ricci flow, Space and Measure. Bruce Kleiner connects Pure mathematics with Rigidity in his study. Bruce Kleiner combines subjects such as Mean curvature and Geometric flow with his study of Mathematical analysis.

His work deals with themes such as Flow, Manifold and Diffeomorphism, Smale conjecture, which intersect with Ricci flow. His study focuses on the intersection of Space and fields such as Metric with connections in the field of Structure. His Conjecture study incorporates themes from Uniqueness theorem for Poisson's equation and Existence theorem.

- Mean Curvature Flow of Mean Convex Hypersurfaces (69 citations)
- Singular Ricci flows I (41 citations)
- Mean curvature flow with surgery (34 citations)

- Mathematical analysis
- Geometry
- Topology

Bruce Kleiner focuses on Pure mathematics, Mathematical analysis, Regular polygon, Mean curvature flow and Space. His Pure mathematics research includes themes of Flow, Measure and Uniqueness theorem for Poisson's equation. The study incorporates disciplines such as Congruence and Ricci flow in addition to Mathematical analysis.

His Regular polygon research incorporates elements of Class and Radius. His studies deal with areas such as Inverse limit, Structure, Metric, Infinitesimal and Constant as well as Space. His studies in Differentiable function integrate themes in fields like Differential topology and Intrinsic metric, Injective metric space, Metric space, Convex metric space.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Notes on Perelman's papers

Bruce Kleiner;John Lott.

Geometry & Topology **(2008)**

659 Citations

Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings

Bruce Kleiner;Bernhard Leeb.

Publications Mathématiques de l'IHÉS **(1997)**

628 Citations

The local structure of length spaces with curvature bounded above

Bruce Kleiner.

Mathematische Zeitschrift **(1999)**

243 Citations

Quasisymmetric parametrizations of two-dimensional metric spheres

Mario Bonk;Bruce Kleiner.

Inventiones Mathematicae **(2002)**

239 Citations

Spaces with nonpositive curvature and their ideal boundaries

Christopher B. Croke;Bruce Kleiner.

Topology **(2000)**

212 Citations

Hyperbolic groups with low-dimensional boundary

Michael Kapovich;Bruce Kleiner.

Annales Scientifiques De L Ecole Normale Superieure **(2000)**

188 Citations

An isoperimetric comparison theorem

Bruce Kleiner.

Inventiones Mathematicae **(1992)**

175 Citations

On the topology of positively curved 4-manifolds with symmetry

Wu Yi Hsiang;Bruce Kleiner.

Journal of Differential Geometry **(1989)**

175 Citations

A new proof of Gromov's theorem on groups of polynomial growth

Bruce Kleiner.

Journal of the American Mathematical Society **(2009)**

168 Citations

Separated nets in Euclidean space and Jacobians of biLipschitz maps

Dmitri Burago;Bruce Kleiner.

Geometric and Functional Analysis **(1998)**

133 Citations

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