Concepedia

Katsumi Nomizu

KN

54

Publications

3.3K

Citations

30

H-Index

1953

Active since

Affiliations

Brown University(Current)

John Brown University

Technische Universität Berlin

Max Planck Institute for Mathematics

Nagoya University

Katsumi Nomizu is an author at Brown University specializing in geometry, integral geometry, and functional analysis.

Top concepts

GeometryIntegral GeometryFunctional AnalysisEducationEngineeringGeometric MechanicsRepresentation TheoryDiscrete Differential GeometryKinematicsAnthropology

Publications per year

1953–1993

54

Publications

54

Invariant Affine Connections on Homogeneous Spaces

Katsumi Nomizu · American Journal of Mathematics · 1954 · 527 citations

Integral Geometry, Schubert Calculus, Lie Theory +1

On the Cohomology of Compact Homogeneous Spaces of Nilpotent Lie Groups

Katsumi Nomizu · Annals of Mathematics · 1954 · 403 citations

Euclidean Space, Lie Group, Representation Theory +7

The existence of complete Riemannian metrics

Katsumi Nomizu, Hideki Ozeki · Proceedings of the American Mathematical Society · 1961 · 155 citations · Full text

Second Axiom, Global Geometry, Geometry +6

On circles and spheres in Riemannian geometry

Katsumi Nomizu, Kentarô Yano · Mathematische Annalen · 1974 · 150 citations

Riemannian Geometry, Global Geometry, Riemannian Manifold +1

On Local and Global Existence of Killing Vector Fields

Katsumi Nomizu · Annals of Mathematics · 1960 · 149 citations

Global Analysis, Global Existence, Finite Field

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