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Katsumi Nomizu information


Katsumi Nomizu
Born(1924-12-01)December 1, 1924
Osaka, Japan
DiedNovember 5, 2008(2008-11-05) (aged 83)
Providence, Rhode Island
NationalityJapanese/American
EducationOsaka University
Known forKulkarni-Nomizu product
Foundations of Differential Geometry
Scientific career
FieldsMathematics
Doctoral advisorShiing-Shen Chern

Katsumi Nomizu (野水 克己, Nomizu Katsumi, December 1, 1924 – November 5, 2008) was a Japanese-American mathematician known for his work in differential geometry.

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Katsumi Nomizu

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Katsumi Nomizu (野水 克己, Nomizu Katsumi, December 1, 1924 – November 5, 2008) was a Japanese-American mathematician known for his work in differential geometry...

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Foundations of Differential Geometry

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mathematics book on differential geometry written by Shoshichi Kobayashi and Katsumi Nomizu. The first volume was published in 1963 and the second in 1969, by Interscience...

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Affine geometry

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the Lorentzian vector space L2" was described by Graciela Birman and Katsumi Nomizu in an article entitled "Trigonometry in Lorentzian geometry". Affine...

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Jacobi field

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RI, 2008. x+168 pp. ISBN 978-0-8218-4417-5 Shoshichi Kobayashi and Katsumi Nomizu. Foundations of differential geometry. Vol. II. Reprint of the 1969...

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Frame of reference

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in Euclidean n-dimensional space. Shigeyuki Morita; Teruko Nagase; Katsumi Nomizu (2001). Geometry of Differential Forms. American Mathematical Society...

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List of geometers

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Calabi (1923–2023) Benoit Mandelbrot (1924–2010) – fractal geometry Katsumi Nomizu (1924–2008) – affine differential geometry Michael S. Longuet-Higgins...

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Coordinate system

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Higher Geometry. Ginn and Co. pp. 1ff. Shigeyuki Morita; Teruko Nagase; Katsumi Nomizu (2001). Geometry of Differential Forms. AMS Bookstore. p. 12. ISBN 0-8218-1045-6...

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Curvature form

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(Y)-Y\omega (X)-\omega ([X,Y])=-\omega ([X,Y]).} Shoshichi Kobayashi and Katsumi Nomizu (1963) Foundations of Differential Geometry, Vol.I, Chapter 2.5 Curvature...

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Ernst Ruh

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Ernst Ruh received his doctorate in 1964 from Brown University under Katsumi Nomizu with thesis On the Automorphism Groups of a G-structure. He is a professor...

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Osaka University

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mathematician who made important contributions to representation theory Katsumi Nomizu, Japanese-American mathematician known for his work in differential...

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Shoshichi Kobayashi

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book Foundations of Differential Geometry, which he coauthored with Katsumi Nomizu, has been known for its wide influence. In 1970 he was an invited speaker...

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Hypersurface

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Encyclopedia of Mathematics, EMS Press, 2001 [1994] Shoshichi Kobayashi and Katsumi Nomizu (1969), Foundations of Differential Geometry Vol II, Wiley Interscience...

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Homogeneous space

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Homogeneous Spaces from Heidelberg University Shoshichi Kobayashi, Katsumi Nomizu (1969) Foundations of Differential Geometry, volume 2, chapter X, (Wiley...

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Symmetric space

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However, the irreducible symmetric spaces can be classified. As shown by Katsumi Nomizu, there is a dichotomy: an irreducible symmetric space G/H is either...

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Manifold

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Press, p. 73, ISBN 9780534133092. Shigeyuki Morita; Teruko Nagase; Katsumi Nomizu (2001). Geometry of Differential Forms. American Mathematical Society...

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Hermitian manifold

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York: Wiley-Interscience. ISBN 0-471-05059-8. Kobayashi, Shoshichi; Katsumi Nomizu (1996) [1963]. Foundations of Differential Geometry, Vol. 2. Wiley Classics...

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List of important publications in mathematics

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grounding in algebra, calculus and complex numbers. Shoshichi Kobayashi and Katsumi Nomizu (1963; 1969) Claire Voisin Douglas Hofstadter Gödel, Escher, Bach: an...

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Ricci curvature

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Kobayashi, S.; Nomizu, K. (1963), Foundations of Differential Geometry, Volume 1, Interscience. Kobayashi, Shoshichi; Nomizu, Katsumi (1996), Foundations...

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Embedding

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New York: Springer. ISBN 978-0-387-98593-0. Kobayashi, Shoshichi; Nomizu, Katsumi (1963). Foundations of Differential Geometry, Volume 1. New York: Wiley-Interscience...

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Bonnet theorem

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ISBN 978-0-486-80699-0. MR 3837152. Zbl 1352.53002. Kobayashi, Shoshichi; Nomizu, Katsumi (1969). Foundations of differential geometry. Volume II. Interscience...

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Adjoint representation

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ISBN 978-0-387-97495-8. MR 1153249. OCLC 246650103. Kobayashi, Shoshichi; Nomizu, Katsumi (1996). Foundations of Differential Geometry, Vol. 1 (New ed.). Wiley-Interscience...

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Kyoji Saito

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theory, the generalized Weyl group and its invariant theory, etc., in Katsumi Nomizu Selected papers on harmonic analysis, groups and invariants, AMS Translations...

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List of Brown University faculty

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Associate Professor of Mathematics (1925–6); namesake of Morse theory Katsumi Nomizu – Professor of Mathematics (1960–95); co-author of Foundations of Differential...

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