Edit Profile (opens in new tab) Nomizu, Katsumi Compute Distance To: Compute Author ID: nomizu.katsumi Published as: Nomizu, Katsumi; Nomizu, K. External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 105 Publications since 1950, including 9 Books 7 Contributions as Editor Biographic References: 7 Publications Co-Authors: 23 Co-Authors with 60 Joint Publications 405 Co-Co-Authors all top 5 Co-Authors 52 single-authored 9 Pinkall, Ulrich 8 Sasaki, Takeshi 5 Kobayashi, Shoshichi 5 Yano, Kentaro 4 Opozda, Barbara 4 Vrancken, Luc 3 Dajczer, Marcos 3 Ozeki, Hideki 3 Podestà, Fabio 3 Simon, Udo 3 Smyth, Brian 2 Birman, Graciela Silvia 2 Graves, Larry K. 2 Hano, Jun-ichi 1 Bokan, Neda 1 Dillen, Franki 1 Goto, Morikuni 1 Harris, Steven G. 1 Leung, Dominic S. P. 1 Li, An-Min 1 Magid, Martin A. 1 Rodriguez, Lucio Ladislao 1 Sabinin, Lev Vasil’evich 1 Wang, Changping all top 5 Serials 13 Tôhoku Mathematical Journal. Second Series 10 Nagoya Mathematical Journal 7 Mathematische Annalen 6 Translations. Series 2. American Mathematical Society 4 Journal of the Mathematical Society of Japan 4 Proceedings of the American Mathematical Society 4 Results in Mathematics 4 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 3 Journal of Differential Geometry 3 Mathematische Zeitschrift 2 Linear and Multilinear Algebra 2 Geometriae Dedicata 2 Manuscripta Mathematica 2 Osaka Journal of Mathematics 2 International Journal of Mathematics 2 Annals of Mathematics. Second Series 2 Bulletin of the American Mathematical Society 2 Cambridge Tracts in Mathematics 2 Interscience Tracts in Pure and Applied Mathematics 1 American Mathematical Monthly 1 Advances in Mathematics 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Boletim da Sociedade Brasileira de Matemática 1 Commentarii Mathematici Helvetici 1 Hokkaido Mathematical Journal 1 Japanese Journal of Mathematics. New Series 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Proceedings of the Japan Academy. Series A 1 Bulletin de la Société Matheḿatique de Belgique. Série B 1 Sugaku Expositions 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Osaka Mathematical Journal all top 5 Fields 72 Differential geometry (53-XX) 7 General and overarching topics; collections (00-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 3 Partial differential equations (35-XX) 3 Relativity and gravitational theory (83-XX) 2 Topological groups, Lie groups (22-XX) 2 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 95 Publications have been cited 5,373 times in 4,602 Documents Cited by ▼ Year ▼ Foundations of differential geometry. I. Zbl 0119.37502Kobayashi, Shoshichi; Nomizu, Katsumi 2,033 1963 Foundations of differential geometry. Vol. II. Zbl 0175.48504Kobayashi, Shoshichi; Nomizu, Katsumi 1,151 1969 Affine differential geometry. Zbl 0834.53002Nomizu, Katsumi; Sasaki, Takeshi 300 1994 Invariant affine connections on homogeneous spaces. Zbl 0059.15805Nomizu, Katsumi 235 1954 On automorphisms of a Kählerian structure. Zbl 0091.34802Kobayashi, Shoshichi; Nomizu, Katsumi 175 1957 On the cohomology of compact homogeneous spaces of nilpotent Lie groups. Zbl 0058.02202Nomizu, Katsumi 157 1954 Lie groups and differential geometry. Zbl 0071.15402Nomizu, Katsumi 105 1956 On local and global existence of Killing vector-fields. Zbl 0093.35103Nomizu, Katsumi 71 1960 Foundations of differential geometry. Vol. II. (Osnovy differentsial’noj geometrii. Tom II). Transl. from the English by L. V. Sabinin. Zbl 0526.53001Kobayashi, Sh.; Nomizu, K. 70 1981 The existence of complete Riemannian metrics. Zbl 0102.16401Nomizu, Katsumi; Ozeki, Hideki 59 1961 A formula of Simons’ type and hypersurfaces with constant mean curvature. Zbl 0196.25103Nomizu, K.; Smyth, B. 52 1969 On the geometry of affine immersions. Zbl 0629.53012Nomizu, Katsumi; Pinkall, Ulrich 51 1987 On hypersurfaces satisfying a certain condition on the curvature tensor. Zbl 0174.53301Nomizu, K. 50 1968 Trigonometry in Lorentzian geometry. Zbl 0555.51009Birman, Graciela S.; Nomizu, Katsumi 35 1984 Conjugate connections and Radon’s theorem in affine differential geometry. Zbl 0712.53008Dillen, Frankie; Nomizu, Katsumi; Vrancken, Luc 35 1990 Left-invariant Lorentz metrics on Lie groups. Zbl 0397.53047Nomizu, Katsumi 32 1979 Affine hypersurfaces with parallel cubic forms. Zbl 0696.53006Bokan, Neda; Nomizu, Katsumi; Simon, Udo 30 1990 On circles and spheres in Riemannian geometry. Zbl 0273.53039Nomizu, Katsumi; Yano, Kentaro 30 1974 Elie Cartan’s work on isoparametric families of hypersurfaces. Zbl 0318.53052Nomizu, Katsumi 28 1975 A new equiaffine theory for surfaces in \(\mathbb{R}^ 4\). Zbl 0810.53006Nomizu, Katsumi; Vrancken, Luc 27 1993 Differential geometry of complex hypersurfaces. II. Zbl 0181.50103Nomizu, Katsumi; Smyth, Brian 26 1968 Cayley surfaces in affine differential geometry. Zbl 0684.53011Nomizu, Katsumi; Pinkall, Ulrich 26 1989 Cubic form theorem for affine immersions. Zbl 0657.53007Nomizu, Katsumi; Pinkall, Ulrich 25 1988 Some results in E. Cartan’s theory of isoparametric families of hypersurfaces. Zbl 0275.53003Nomizu, Katsumi 24 1974 A new model of unimodular-affinely homogeneous surfaces. Zbl 0753.53008Nomizu, Katsumi; Sasaki, Takeshi 21 1991 Surfaces of revolution with constant mean curvature in Lorentz-Minkowski space. Zbl 0535.53002Hano, Jun-ichi; Nomizu, Katsumi 21 1984 On sectional curvature of indefinite metrics. II. Zbl 0411.53010Dajczer, Marcos; Nomizu, Katsumi 19 1980 On isometric immersions of the hyperbolic plane into the Lorentz- Minkowski space and the Monge-Ampère equation of a certain type. Zbl 0507.53042Hano, Jun-ichi; Nomizu, Katsumi 19 1983 Foundations of differential geometry. Vol. 1. (Основы дифференциальной геометрии. Том 1) (Transl. from the English by L. V. Sabinin. With an appendix “Methods of nonassociative geometry” by L. V. Sabinin.) Zbl 0508.53002Kobayashi, Sh.; Nomizu, K. 19 1981 On the boundedness of Ricci curvature of an indefinite metric. Zbl 0472.53065Dajczer, Marcos; Nomizu, Katsumi 18 1980 On sectional curvature of indefinite metrics. Zbl 0366.53007Graves, Larry; Nomizu, Katsumi 18 1978 On affine surfaces whose cubic forms are parallel relative to the affine metric. Zbl 0705.53010Magid, Martin A.; Nomizu, Katsumi 18 1989 Characteristic roots and vectors of a differentiable family of symmetric matrices. Zbl 0277.15004Nomizu, Katsumi 18 1973 The Gauss-Bonnet theorem for 2-dimensional spacetimes. Zbl 0591.53053Birman, Graciela S.; Nomizu, Katsumi 18 1984 On the Gauss mapping for hypersurfaces of constant mean curvature in the sphere. Zbl 0184.47004Nomizu, K.; Smyth, B. 17 1969 Fundamentals of linear algebra. Zbl 0148.01601Nomizu, K. 16 1966 The axiom of spheres in Riemannian geometry. Zbl 0218.53057Leung, D. S.; Nomizu, K. 15 1971 On completeness in affine differential geometry. Zbl 0587.53010Nomizu, Katsumi 15 1986 Kinematics and differential geometry of submanifolds. Zbl 0395.53005Nomizu, Katsumi 14 1978 On isoparametric hypersurfaces in the Lorentzian space forms. Zbl 0469.53054Nomizu, Katsumi 14 1981 Notes on conjugate connections. Zbl 0840.53018Nomizu, Katsumi; Simon, Udo 13 1992 Centroaffine immersions of codimension two and projective hypersurface theory. Zbl 0791.53011Nomizu, Katsumi; Sasaki, Takeshi 13 1993 A theorem on curvature tensor fields. Zbl 0139.39201Nomizu, K.; Ozeki, H. 13 1962 Remarks on sectional curvature of an indefinite metric. Zbl 0524.53040Nomizu, Katsumi 13 1983 Umbilical submanifolds and Morse functions. Zbl 0246.53050Nomizu, Katsumi; Rodriguez, Lucio 13 1972 Studies of Riemannian homogeneous spaces. Zbl 0067.14502Nomizu, Katsumi 12 1955 On a certain class of homogeneous projectively flat manifolds. Zbl 0641.53053Nomizu, Katsumi; Pinkall, Ulrich 10 1987 On the group of affine transformations of an affinely connected manifolds. Zbl 0051.39604Nomizu, Katsumi 9 1953 Isometric immersions of the hyperbolic plane into the hyperbolic space. Zbl 0256.53042Nomizu, Katsumi 9 1973 Uniqueness of the normal connections and congruence of isometric immersions. Zbl 0341.53015Nomizu, Katsumi 9 1976 On the geometry of affine Kähler immersions. Zbl 0701.53038Nomizu, Katsumi; Pinkall, Ulrich; Podesta, Fabio 7 1990 On the decomposition of generalized curvature tensor fields. Codazzi, Ricci, Bianchi and Weyl revisited. Zbl 0244.53032Nomizu, Katsumi 7 1972 Affine differential geometry. Paperback reprint of the hardback edition 1994. Zbl 1140.53001Nomizu, Katsumi; Sasaki, Takeshi 6 2008 On the spaces of generalized curvature tensor fields and second fundamental forms. Zbl 0218.53064Nomizu, K. 6 1971 On the rank and curvature of non-singular complex hypersurfaces in a complex projective space. Zbl 0174.24701Nomizu, Katsumi 6 1969 Reduction theorem for connections and its application to the problem of isotropy and holonomy groups of a Riemannian manifold. Zbl 0067.14503Nomizu, Katsumi 6 1955 A generalization of Lelieuvre’s formula. Zbl 0758.53004Li, An-Min; Nomizu, Katsumi; Wang, Changping 5 1991 On normal and conormal maps for affine hypersurfaces. Zbl 0761.53007Nomizu, Katsumi; Opozda, Barbara 5 1992 Locally symmetric connections on possibly degenerate affine hypersurfaces. Zbl 0770.53008Nomizu, Katsumi; Opozda, Barbara 5 1992 Geodesics in affine differential geometry. Zbl 0842.53006Nomizu, Katsumi; Vrancken, Luc 5 1995 On affine hypersurfaces with parallel nullity. Zbl 0778.53009Nomizu, Katsumi; Opozda, Barbara 5 1992 Sur les transformations affines d’une variété riemannienne. Zbl 0051.12902Nomizu, Katsumi 5 1953 On infinitesimal holonomy and isotropy groups. Zbl 0096.16103Nomizu, Katsumi 5 1957 On the geometry of projective immersions. Zbl 0667.53010Nomizu, Katsumi; Pinkall, Ulrich 5 1989 Integral formulas for affine surfaces and rigidity theorems of Cohn-Vossen type. Zbl 0838.53015Nomizu, Katsumi; Opozda, Barbara 4 1992 The Lorentz-Poincaré metric on the upper half-space and its extension. Zbl 0501.53039Nomizu, Katsumi 4 1982 On Frenet equations for curves of class \(C^\infty\). Zbl 0107.15304Nomizu, Katsumi 4 1959 Some results related to the equivalence problem in Riemannian geometry. Zbl 0148.15602Nomizu, K.; Yano, K. 4 1967 Generalized central spheres and the notion of spheres in Riemannian geometry. Zbl 0261.53032Nomizu, Katsumi 4 1973 Conditions for constancy of the holomorphic sectional curvature. Zbl 0279.53031Nomizu, Katsumi 4 1973 A characterization of the Veronese varieties. Zbl 0305.53046Nomizu, Katsumi 4 1976 Isometric immersions of Lorentzian space forms. Zbl 0354.53046Graves, Larry; Nomizu, Katsumi 4 1978 On flat surfaces in S//\(1^ 3\) and H//\(1^ 3\). Zbl 0485.53047Dajczer, Marcos; Nomizu, Katsumi 3 1981 On the classification of projectively homogeneous surfaces. Zbl 0761.53009Nomizu, Katsumi; Sasaki, Takeshi 3 1991 On the group of a topological group. Zbl 0041.15904Nomizu, Katsumi; Goto, Morikuni 3 1950 Un théorème sur les groupes d’holonomie. Zbl 0070.39001Nomizu, Katsumi 3 1956 Sur les algèbres de Lie de générateurs de Killing et l’homogeneite d’une variété Riemannienne. Zbl 0103.38603Nomizu, Katsumi 3 1962 Some results related to the equivalence problem in Riemannian geometry. Zbl 0151.28203Nomizu, Katsumi; Yano, Kentaro 3 1966 Eine Kennzeichnung der projektiven Unterräume in dem komplexen projektiven Raum nach ihren Geodätischen. Zbl 0278.53045Nomizu, Katsumi 3 1974 A survey of recent results in affine differential geometry. Zbl 0745.53005Nomizu, Katsumi 2 1991 On certain quartic forms for affine surfaces. Zbl 0799.53014Nomizu, Katsumi; Sasaki, Takeshi 2 1992 Holonomy, Ricci tensor and Killing vector fields. Zbl 0103.15203Nomizu, Katsumi 2 1961 Recent development in the theory of connections and holonomy groups. Zbl 0113.15503Nomizu, K. 2 1961 Recent results in affine differential geometry – an introduction and a survey. Zbl 0923.53006Nomizu, Katsumi 2 1993 A characterization of \(n\)-spheres in space forms and its complex analogue. Zbl 0234.53049Nomizu, Katsumi 1 1973 Fundamentals of linear algebra. 2nd ed. Zbl 0405.15002Nomizu, Katsumi 1 1979 Another rigidity theorem for affine immersions. Zbl 0837.53011Nomizu, Katsumi; Vrancken, Luc 1 1995 Application de l’étude des transformations affines aux espaces homogènes riemanniens. Zbl 0052.17505Nomizu, Katsumi 1 1953 Remarques sur les groupes d’holonomie et d’isotropie. Zbl 0068.35702Nomizu, Katsumi 1 1955 On the degree of differentiability of curves used in the definition of the holonomy group. Zbl 0105.16003Nomizu, Katsumi; Ozeki, Hideki 1 1962 Quelques résultats en géométrie différentielle des espaces homogenes. Zbl 0122.40602Nomizu, K. 1 1959 On infinitesimal transformations pöreser preserving the curvature tensor field and its covariant differentials. Zbl 0127.38303Nomizu, K.; Yano, K. 1 1964 Globally defined linear connections on the real line and the circle. Zbl 0965.53015Nomizu, Katsumi; Sasaki, Takeshi 1 1999 Lorentzian geometry for 2\(\times 2\) real matrices. Zbl 0719.15008Nomizu, Katsumi; Pinkall, Ulrich 1 1991 On the Cartan-Norden theorem for affine Kähler immersions. Zbl 0719.53029Nomizu, Katsumi; Podestà, Fabio 1 1991 Affine differential geometry. Paperback reprint of the hardback edition 1994. Zbl 1140.53001Nomizu, Katsumi; Sasaki, Takeshi 6 2008 Globally defined linear connections on the real line and the circle. Zbl 0965.53015Nomizu, Katsumi; Sasaki, Takeshi 1 1999 Geodesics in affine differential geometry. Zbl 0842.53006Nomizu, Katsumi; Vrancken, Luc 5 1995 Another rigidity theorem for affine immersions. Zbl 0837.53011Nomizu, Katsumi; Vrancken, Luc 1 1995 Affine differential geometry. Zbl 0834.53002Nomizu, Katsumi; Sasaki, Takeshi 300 1994 A new equiaffine theory for surfaces in \(\mathbb{R}^ 4\). Zbl 0810.53006Nomizu, Katsumi; Vrancken, Luc 27 1993 Centroaffine immersions of codimension two and projective hypersurface theory. Zbl 0791.53011Nomizu, Katsumi; Sasaki, Takeshi 13 1993 Recent results in affine differential geometry – an introduction and a survey. Zbl 0923.53006Nomizu, Katsumi 2 1993 Notes on conjugate connections. Zbl 0840.53018Nomizu, Katsumi; Simon, Udo 13 1992 On normal and conormal maps for affine hypersurfaces. Zbl 0761.53007Nomizu, Katsumi; Opozda, Barbara 5 1992 Locally symmetric connections on possibly degenerate affine hypersurfaces. Zbl 0770.53008Nomizu, Katsumi; Opozda, Barbara 5 1992 On affine hypersurfaces with parallel nullity. Zbl 0778.53009Nomizu, Katsumi; Opozda, Barbara 5 1992 Integral formulas for affine surfaces and rigidity theorems of Cohn-Vossen type. Zbl 0838.53015Nomizu, Katsumi; Opozda, Barbara 4 1992 On certain quartic forms for affine surfaces. Zbl 0799.53014Nomizu, Katsumi; Sasaki, Takeshi 2 1992 A new model of unimodular-affinely homogeneous surfaces. Zbl 0753.53008Nomizu, Katsumi; Sasaki, Takeshi 21 1991 A generalization of Lelieuvre’s formula. Zbl 0758.53004Li, An-Min; Nomizu, Katsumi; Wang, Changping 5 1991 On the classification of projectively homogeneous surfaces. Zbl 0761.53009Nomizu, Katsumi; Sasaki, Takeshi 3 1991 A survey of recent results in affine differential geometry. Zbl 0745.53005Nomizu, Katsumi 2 1991 Lorentzian geometry for 2\(\times 2\) real matrices. Zbl 0719.15008Nomizu, Katsumi; Pinkall, Ulrich 1 1991 On the Cartan-Norden theorem for affine Kähler immersions. Zbl 0719.53029Nomizu, Katsumi; Podestà, Fabio 1 1991 Conjugate connections and Radon’s theorem in affine differential geometry. Zbl 0712.53008Dillen, Frankie; Nomizu, Katsumi; Vrancken, Luc 35 1990 Affine hypersurfaces with parallel cubic forms. Zbl 0696.53006Bokan, Neda; Nomizu, Katsumi; Simon, Udo 30 1990 On the geometry of affine Kähler immersions. Zbl 0701.53038Nomizu, Katsumi; Pinkall, Ulrich; Podesta, Fabio 7 1990 Cayley surfaces in affine differential geometry. Zbl 0684.53011Nomizu, Katsumi; Pinkall, Ulrich 26 1989 On affine surfaces whose cubic forms are parallel relative to the affine metric. Zbl 0705.53010Magid, Martin A.; Nomizu, Katsumi 18 1989 On the geometry of projective immersions. Zbl 0667.53010Nomizu, Katsumi; Pinkall, Ulrich 5 1989 Cubic form theorem for affine immersions. Zbl 0657.53007Nomizu, Katsumi; Pinkall, Ulrich 25 1988 On the geometry of affine immersions. Zbl 0629.53012Nomizu, Katsumi; Pinkall, Ulrich 51 1987 On a certain class of homogeneous projectively flat manifolds. Zbl 0641.53053Nomizu, Katsumi; Pinkall, Ulrich 10 1987 On completeness in affine differential geometry. Zbl 0587.53010Nomizu, Katsumi 15 1986 Trigonometry in Lorentzian geometry. Zbl 0555.51009Birman, Graciela S.; Nomizu, Katsumi 35 1984 Surfaces of revolution with constant mean curvature in Lorentz-Minkowski space. Zbl 0535.53002Hano, Jun-ichi; Nomizu, Katsumi 21 1984 The Gauss-Bonnet theorem for 2-dimensional spacetimes. Zbl 0591.53053Birman, Graciela S.; Nomizu, Katsumi 18 1984 On isometric immersions of the hyperbolic plane into the Lorentz- Minkowski space and the Monge-Ampère equation of a certain type. Zbl 0507.53042Hano, Jun-ichi; Nomizu, Katsumi 19 1983 Remarks on sectional curvature of an indefinite metric. Zbl 0524.53040Nomizu, Katsumi 13 1983 The Lorentz-Poincaré metric on the upper half-space and its extension. Zbl 0501.53039Nomizu, Katsumi 4 1982 Foundations of differential geometry. Vol. II. (Osnovy differentsial’noj geometrii. Tom II). Transl. from the English by L. V. Sabinin. Zbl 0526.53001Kobayashi, Sh.; Nomizu, K. 70 1981 Foundations of differential geometry. Vol. 1. (Основы дифференциальной геометрии. Том 1) (Transl. from the English by L. V. Sabinin. With an appendix “Methods of nonassociative geometry” by L. V. Sabinin.) Zbl 0508.53002Kobayashi, Sh.; Nomizu, K. 19 1981 On isoparametric hypersurfaces in the Lorentzian space forms. Zbl 0469.53054Nomizu, Katsumi 14 1981 On flat surfaces in S//\(1^ 3\) and H//\(1^ 3\). Zbl 0485.53047Dajczer, Marcos; Nomizu, Katsumi 3 1981 On sectional curvature of indefinite metrics. II. Zbl 0411.53010Dajczer, Marcos; Nomizu, Katsumi 19 1980 On the boundedness of Ricci curvature of an indefinite metric. Zbl 0472.53065Dajczer, Marcos; Nomizu, Katsumi 18 1980 Left-invariant Lorentz metrics on Lie groups. Zbl 0397.53047Nomizu, Katsumi 32 1979 Fundamentals of linear algebra. 2nd ed. Zbl 0405.15002Nomizu, Katsumi 1 1979 On sectional curvature of indefinite metrics. Zbl 0366.53007Graves, Larry; Nomizu, Katsumi 18 1978 Kinematics and differential geometry of submanifolds. Zbl 0395.53005Nomizu, Katsumi 14 1978 Isometric immersions of Lorentzian space forms. Zbl 0354.53046Graves, Larry; Nomizu, Katsumi 4 1978 Uniqueness of the normal connections and congruence of isometric immersions. Zbl 0341.53015Nomizu, Katsumi 9 1976 A characterization of the Veronese varieties. Zbl 0305.53046Nomizu, Katsumi 4 1976 Elie Cartan’s work on isoparametric families of hypersurfaces. Zbl 0318.53052Nomizu, Katsumi 28 1975 On circles and spheres in Riemannian geometry. Zbl 0273.53039Nomizu, Katsumi; Yano, Kentaro 30 1974 Some results in E. Cartan’s theory of isoparametric families of hypersurfaces. Zbl 0275.53003Nomizu, Katsumi 24 1974 Eine Kennzeichnung der projektiven Unterräume in dem komplexen projektiven Raum nach ihren Geodätischen. Zbl 0278.53045Nomizu, Katsumi 3 1974 Characteristic roots and vectors of a differentiable family of symmetric matrices. Zbl 0277.15004Nomizu, Katsumi 18 1973 Isometric immersions of the hyperbolic plane into the hyperbolic space. Zbl 0256.53042Nomizu, Katsumi 9 1973 Generalized central spheres and the notion of spheres in Riemannian geometry. Zbl 0261.53032Nomizu, Katsumi 4 1973 Conditions for constancy of the holomorphic sectional curvature. Zbl 0279.53031Nomizu, Katsumi 4 1973 A characterization of \(n\)-spheres in space forms and its complex analogue. Zbl 0234.53049Nomizu, Katsumi 1 1973 Umbilical submanifolds and Morse functions. Zbl 0246.53050Nomizu, Katsumi; Rodriguez, Lucio 13 1972 On the decomposition of generalized curvature tensor fields. Codazzi, Ricci, Bianchi and Weyl revisited. Zbl 0244.53032Nomizu, Katsumi 7 1972 The axiom of spheres in Riemannian geometry. Zbl 0218.53057Leung, D. S.; Nomizu, K. 15 1971 On the spaces of generalized curvature tensor fields and second fundamental forms. Zbl 0218.53064Nomizu, K. 6 1971 Foundations of differential geometry. Vol. II. Zbl 0175.48504Kobayashi, Shoshichi; Nomizu, Katsumi 1,151 1969 A formula of Simons’ type and hypersurfaces with constant mean curvature. Zbl 0196.25103Nomizu, K.; Smyth, B. 52 1969 On the Gauss mapping for hypersurfaces of constant mean curvature in the sphere. Zbl 0184.47004Nomizu, K.; Smyth, B. 17 1969 On the rank and curvature of non-singular complex hypersurfaces in a complex projective space. Zbl 0174.24701Nomizu, Katsumi 6 1969 On hypersurfaces satisfying a certain condition on the curvature tensor. Zbl 0174.53301Nomizu, K. 50 1968 Differential geometry of complex hypersurfaces. II. Zbl 0181.50103Nomizu, Katsumi; Smyth, Brian 26 1968 Some results related to the equivalence problem in Riemannian geometry. Zbl 0148.15602Nomizu, K.; Yano, K. 4 1967 Fundamentals of linear algebra. Zbl 0148.01601Nomizu, K. 16 1966 Some results related to the equivalence problem in Riemannian geometry. Zbl 0151.28203Nomizu, Katsumi; Yano, Kentaro 3 1966 On infinitesimal transformations pöreser preserving the curvature tensor field and its covariant differentials. Zbl 0127.38303Nomizu, K.; Yano, K. 1 1964 Foundations of differential geometry. I. Zbl 0119.37502Kobayashi, Shoshichi; Nomizu, Katsumi 2,033 1963 A theorem on curvature tensor fields. Zbl 0139.39201Nomizu, K.; Ozeki, H. 13 1962 Sur les algèbres de Lie de générateurs de Killing et l’homogeneite d’une variété Riemannienne. Zbl 0103.38603Nomizu, Katsumi 3 1962 On the degree of differentiability of curves used in the definition of the holonomy group. Zbl 0105.16003Nomizu, Katsumi; Ozeki, Hideki 1 1962 The existence of complete Riemannian metrics. Zbl 0102.16401Nomizu, Katsumi; Ozeki, Hideki 59 1961 Holonomy, Ricci tensor and Killing vector fields. Zbl 0103.15203Nomizu, Katsumi 2 1961 Recent development in the theory of connections and holonomy groups. Zbl 0113.15503Nomizu, K. 2 1961 On local and global existence of Killing vector-fields. Zbl 0093.35103Nomizu, Katsumi 71 1960 On Frenet equations for curves of class \(C^\infty\). Zbl 0107.15304Nomizu, Katsumi 4 1959 Quelques résultats en géométrie différentielle des espaces homogenes. Zbl 0122.40602Nomizu, K. 1 1959 On automorphisms of a Kählerian structure. Zbl 0091.34802Kobayashi, Shoshichi; Nomizu, Katsumi 175 1957 On infinitesimal holonomy and isotropy groups. Zbl 0096.16103Nomizu, Katsumi 5 1957 Lie groups and differential geometry. Zbl 0071.15402Nomizu, Katsumi 105 1956 Un théorème sur les groupes d’holonomie. Zbl 0070.39001Nomizu, Katsumi 3 1956 Studies of Riemannian homogeneous spaces. Zbl 0067.14502Nomizu, Katsumi 12 1955 Reduction theorem for connections and its application to the problem of isotropy and holonomy groups of a Riemannian manifold. Zbl 0067.14503Nomizu, Katsumi 6 1955 Remarques sur les groupes d’holonomie et d’isotropie. Zbl 0068.35702Nomizu, Katsumi 1 1955 Invariant affine connections on homogeneous spaces. Zbl 0059.15805Nomizu, Katsumi 235 1954 On the cohomology of compact homogeneous spaces of nilpotent Lie groups. Zbl 0058.02202Nomizu, Katsumi 157 1954 On the group of affine transformations of an affinely connected manifolds. Zbl 0051.39604Nomizu, Katsumi 9 1953 Sur les transformations affines d’une variété riemannienne. Zbl 0051.12902Nomizu, Katsumi 5 1953 Application de l’étude des transformations affines aux espaces homogènes riemanniens. Zbl 0052.17505Nomizu, Katsumi 1 1953 On the group of a topological group. Zbl 0041.15904Nomizu, Katsumi; Goto, Morikuni 3 1950 all cited Publications top 5 cited Publications all top 5 Cited by 4,072 Authors 54 Suh, Young Jin 49 Vrancken, Luc 40 Nomizu, Katsumi 26 Kowalski, Oldřich 26 Stepanov, Sergeĭ Evgen’evich 25 Opozda, Barbara 24 Hu, Zejun 24 Vaisman, Izu 22 Hall, Graham S. 22 Muñoz Masqué, Jaime 21 Podestà, Fabio 21 Simon, Udo 20 Castrillón López, Marco 19 Dragomir, Sorin 18 Dillen, Franki 17 Berestovskiĭ, Valeriĭ Nikolaevich 17 Martínez Gadea, Pedro 17 Vanhecke, Lieven 16 Lee, Hyunjin 16 Nikonorov, Yurii Gennadyevich 15 Tanno, Shukichi 14 Deng, Shaoqiang 14 Dumitrescu, Sorin 14 de Lima, Henrique F. 14 García-Río, Eduardo 14 Mikeš, Josef 14 Mozheĭ, Natal’ya Pavlovna 14 Romero, Alfonso 13 Alekseevskiĭ, Dmitriĭ Vladimirovich 13 Fino, Anna 13 Milán, Francisco 13 Pérez Jiménez, Juan de Dios 12 Adachi, Toshiaki 12 Angella, Daniele 12 Cortés, Vicente 12 de León Rodríguez, Manuel 12 Fernández Rodríguez, Marisa 12 Gilkey, Peter B. 12 Kasuya, Hisashi 12 Kobayashi, Shoshichi 12 Li, Cece 12 Urakawa, Hajime 11 Alías, Luis J. 11 Bejancu, Aurel 11 Calvaruso, Giovanni 11 Chen, Bang-Yen 11 Grama, Lino 11 Rudolph, Gerd 11 Tomassini, Adriano 11 Tsyganok, Irina Ivanovna 11 Verstraelen, Leopold C. A. 10 Biswas, Indranil 10 Di Scala, Antonio Jose 10 Katanaev, Mikhaĭl Orinovich 10 Koike, Naoyuki 10 Li, Haizhong 10 Lumiste, Ülo 10 McInnes, Brett 10 Norris, Larry K. 10 Oubiña, José A. 10 Rosado María, Eugenia 10 Sánchez Caja, Miguel 10 Ugarte, Luis 10 Zhukova, Nina Ivanovna 9 Abe, Kinetsu 9 Cheng, Xiuxiu 9 Jeong, Imsoon 9 Magid, Martin A. 9 Recht, Lázaro A. 9 San Martin, Luiz Antonio Barrera 9 Schäfer, Lars 9 Sekigawa, Kouei 9 Yano, Kentaro 8 Andruchow, Esteban 8 Arvanitoyeorgos, Andreas 8 Bazzoni, Giovanni 8 Berceanu, Stefan 8 Craizer, Marcos 8 Dappiaggi, Claudio 8 Dorfmeister, Josef F. 8 Elduque, Alberto 8 Fetcu, Dorel 8 Inoguchi, Jun-ichi 8 Ivanov, Stefan P. 8 Loi, Andrea 8 Minguzzi, Ettore 8 Moroianu, Andrei 8 Ogiue, Koichi 8 Okumura, Masafumi 8 Popov, Alexander D. 8 Rovenskiĭ, Vladimir Yuzefovich 8 Salimi Moghaddam, Hamid Reza 8 Sasaki, Takeshi 8 Silva Leite, Fátima 8 Wang, Changping 8 Yang, Yun 7 Albujer, Alma L. 7 Aldrovandi, Ruben 7 Barletta, Elisabetta 7 Barros, Manuel ...and 3,972 more Authors all top 5 Cited in 456 Serials 271 Journal of Geometry and Physics 193 Differential Geometry and its Applications 141 Transactions of the American Mathematical Society 132 Tôhoku Mathematical Journal. Second Series 123 Communications in Mathematical Physics 121 Mathematische Annalen 111 Results in Mathematics 108 Annals of Global Analysis and Geometry 102 General Relativity and Gravitation 98 Proceedings of the American Mathematical Society 89 Annali di Matematica Pura ed Applicata. Serie Quarta 87 Mathematische Zeitschrift 85 Geometriae Dedicata 80 Journal of Mathematical Physics 72 International Journal of Theoretical Physics 68 International Journal of Geometric Methods in Modern Physics 61 Journal of Mathematical Sciences (New York) 58 Reports on Mathematical Physics 55 Advances in Mathematics 50 Manuscripta Mathematica 50 Siberian Mathematical Journal 48 The Journal of Geometric Analysis 42 Mathematical Notes 42 Journal of Geometry 39 Inventiones Mathematicae 37 Annales de l’Institut Fourier 36 Czechoslovak Mathematical Journal 36 Nagoya Mathematical Journal 35 Kodai Mathematical Journal 32 Theoretical and Mathematical Physics 32 Monatshefte für Mathematik 31 Letters in Mathematical Physics 31 Nuclear Physics. B 31 International Journal of Mathematics 28 Journal of Soviet Mathematics 27 Journal of Mathematical Analysis and Applications 26 Lobachevskii Journal of Mathematics 26 Kodai Mathematical Seminar Reports 25 Journal of Functional Analysis 24 Archiv der Mathematik 24 Mediterranean Journal of Mathematics 23 Rendiconti del Circolo Matemàtico di Palermo. Serie II 23 Linear Algebra and its Applications 23 Russian Mathematics 21 Israel Journal of Mathematics 21 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 21 Bulletin of the American Mathematical Society 20 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 20 Compositio Mathematica 20 Duke Mathematical Journal 20 Complex Manifolds 18 Rocky Mountain Journal of Mathematics 18 Bulletin de la Société Mathématique de France 17 Archive for Rational Mechanics and Analysis 17 Topology and its Applications 17 Acta Applicandae Mathematicae 16 Osaka Journal of Mathematics 16 Advances in Applied Clifford Algebras 16 Comptes Rendus. Mathématique. Académie des Sciences, Paris 16 Central European Journal of Mathematics 15 Tokyo Journal of Mathematics 15 Transformation Groups 14 Acta Mathematica 14 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 14 Journal of Algebra 14 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 14 International Journal of Modern Physics D 14 Proceedings of the Japan Academy 14 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 13 Reviews in Mathematical Physics 13 Annals of Physics 13 Journal of High Energy Physics 13 Annales Henri Poincaré 12 Classical and Quantum Gravity 12 Journal of Pure and Applied Algebra 12 Proceedings of the Japan Academy. Series A 12 Acta Mathematica Hungarica 12 Acta Mathematica Sinica. English Series 12 Science China. Mathematics 11 Functional Analysis and its Applications 11 Journal of Differential Equations 11 Journal of the Mathematical Society of Japan 11 Journal für die Reine und Angewandte Mathematik 11 Ergodic Theory and Dynamical Systems 11 Journal de Mathématiques Pures et Appliquées. Neuvième Série 11 Annales de l’Institut Henri Poincaré. Physique Théorique 11 Calculus of Variations and Partial Differential Equations 11 Bulletin of the Brazilian Mathematical Society. New Series 11 Journal of Geometric Mechanics 10 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 10 Mathematische Nachrichten 10 Turkish Journal of Mathematics 9 Mathematical Proceedings of the Cambridge Philosophical Society 9 Ukrainian Mathematical Journal 9 Applied Mathematics and Computation 9 Bulletin des Sciences Mathématiques 9 Mathematical Physics, Analysis and Geometry 9 Geometry & Topology 9 Advances in Geometry 8 Periodica Mathematica Hungarica ...and 356 more Serials all top 5 Cited in 60 Fields 3,335 Differential geometry (53-XX) 691 Global analysis, analysis on manifolds (58-XX) 396 Quantum theory (81-XX) 359 Relativity and gravitational theory (83-XX) 346 Manifolds and cell complexes (57-XX) 333 Several complex variables and analytic spaces (32-XX) 276 Topological groups, Lie groups (22-XX) 222 Dynamical systems and ergodic theory (37-XX) 200 Partial differential equations (35-XX) 197 Mechanics of particles and systems (70-XX) 173 Nonassociative rings and algebras (17-XX) 148 Algebraic topology (55-XX) 120 Algebraic geometry (14-XX) 81 Probability theory and stochastic processes (60-XX) 73 Functional analysis (46-XX) 64 Group theory and generalizations (20-XX) 60 Linear and multilinear algebra; matrix theory (15-XX) 59 Calculus of variations and optimal control; optimization (49-XX) 56 Statistics (62-XX) 55 Numerical analysis (65-XX) 51 Systems theory; control (93-XX) 44 Ordinary differential equations (34-XX) 37 Functions of a complex variable (30-XX) 34 Geometry (51-XX) 34 General topology (54-XX) 33 Operator theory (47-XX) 33 Convex and discrete geometry (52-XX) 33 Mechanics of deformable solids (74-XX) 31 Fluid mechanics (76-XX) 29 Category theory; homological algebra (18-XX) 24 Computer science (68-XX) 24 Statistical mechanics, structure of matter (82-XX) 23 Number theory (11-XX) 18 Information and communication theory, circuits (94-XX) 17 Associative rings and algebras (16-XX) 17 Potential theory (31-XX) 16 Abstract harmonic analysis (43-XX) 13 Measure and integration (28-XX) 12 General and overarching topics; collections (00-XX) 12 Optics, electromagnetic theory (78-XX) 11 Approximations and expansions (41-XX) 10 Real functions (26-XX) 10 Special functions (33-XX) 10 Operations research, mathematical programming (90-XX) 9 Combinatorics (05-XX) 8 History and biography (01-XX) 8 Biology and other natural sciences (92-XX) 7 Astronomy and astrophysics (85-XX) 6 Commutative algebra (13-XX) 6 \(K\)-theory (19-XX) 6 Classical thermodynamics, heat transfer (80-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Field theory and polynomials (12-XX) 3 Difference and functional equations (39-XX) 3 Integral transforms, operational calculus (44-XX) 2 Mathematical logic and foundations (03-XX) 1 Integral equations (45-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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