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Author ID: nomizu.katsumi Recent zbMATH articles by "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

Publications by Year

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 0119.37502
Kobayashi, Shoshichi; Nomizu, Katsumi
1963
Foundations of differential geometry. Vol. II. Zbl 0175.48504
Kobayashi, Shoshichi; Nomizu, Katsumi
1969
Affine differential geometry. Zbl 0834.53002
Nomizu, Katsumi; Sasaki, Takeshi
300
1994
Invariant affine connections on homogeneous spaces. Zbl 0059.15805
Nomizu, Katsumi
235
1954
On automorphisms of a Kählerian structure. Zbl 0091.34802
Kobayashi, Shoshichi; Nomizu, Katsumi
175
1957
On the cohomology of compact homogeneous spaces of nilpotent Lie groups. Zbl 0058.02202
Nomizu, Katsumi
157
1954
Lie groups and differential geometry. Zbl 0071.15402
Nomizu, Katsumi
105
1956
On local and global existence of Killing vector-fields. Zbl 0093.35103
Nomizu, Katsumi
71
1960
Foundations of differential geometry. Vol. II. (Osnovy differentsial’noj geometrii. Tom II). Transl. from the English by L. V. Sabinin. Zbl 0526.53001
Kobayashi, Sh.; Nomizu, K.
70
1981
The existence of complete Riemannian metrics. Zbl 0102.16401
Nomizu, Katsumi; Ozeki, Hideki
59
1961
A formula of Simons’ type and hypersurfaces with constant mean curvature. Zbl 0196.25103
Nomizu, K.; Smyth, B.
52
1969
On the geometry of affine immersions. Zbl 0629.53012
Nomizu, Katsumi; Pinkall, Ulrich
51
1987
On hypersurfaces satisfying a certain condition on the curvature tensor. Zbl 0174.53301
Nomizu, K.
50
1968
Trigonometry in Lorentzian geometry. Zbl 0555.51009
Birman, Graciela S.; Nomizu, Katsumi
35
1984
Conjugate connections and Radon’s theorem in affine differential geometry. Zbl 0712.53008
Dillen, Frankie; Nomizu, Katsumi; Vrancken, Luc
35
1990
Left-invariant Lorentz metrics on Lie groups. Zbl 0397.53047
Nomizu, Katsumi
32
1979
Affine hypersurfaces with parallel cubic forms. Zbl 0696.53006
Bokan, Neda; Nomizu, Katsumi; Simon, Udo
30
1990
On circles and spheres in Riemannian geometry. Zbl 0273.53039
Nomizu, Katsumi; Yano, Kentaro
30
1974
Elie Cartan’s work on isoparametric families of hypersurfaces. Zbl 0318.53052
Nomizu, Katsumi
28
1975
A new equiaffine theory for surfaces in \(\mathbb{R}^ 4\). Zbl 0810.53006
Nomizu, Katsumi; Vrancken, Luc
27
1993
Differential geometry of complex hypersurfaces. II. Zbl 0181.50103
Nomizu, Katsumi; Smyth, Brian
26
1968
Cayley surfaces in affine differential geometry. Zbl 0684.53011
Nomizu, Katsumi; Pinkall, Ulrich
26
1989
Cubic form theorem for affine immersions. Zbl 0657.53007
Nomizu, Katsumi; Pinkall, Ulrich
25
1988
Some results in E. Cartan’s theory of isoparametric families of hypersurfaces. Zbl 0275.53003
Nomizu, Katsumi
24
1974
A new model of unimodular-affinely homogeneous surfaces. Zbl 0753.53008
Nomizu, Katsumi; Sasaki, Takeshi
21
1991
Surfaces of revolution with constant mean curvature in Lorentz-Minkowski space. Zbl 0535.53002
Hano, Jun-ichi; Nomizu, Katsumi
21
1984
On sectional curvature of indefinite metrics. II. Zbl 0411.53010
Dajczer, 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 0507.53042
Hano, 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 0508.53002
Kobayashi, Sh.; Nomizu, K.
19
1981
On the boundedness of Ricci curvature of an indefinite metric. Zbl 0472.53065
Dajczer, Marcos; Nomizu, Katsumi
18
1980
On sectional curvature of indefinite metrics. Zbl 0366.53007
Graves, Larry; Nomizu, Katsumi
18
1978
On affine surfaces whose cubic forms are parallel relative to the affine metric. Zbl 0705.53010
Magid, Martin A.; Nomizu, Katsumi
18
1989
Characteristic roots and vectors of a differentiable family of symmetric matrices. Zbl 0277.15004
Nomizu, Katsumi
18
1973
The Gauss-Bonnet theorem for 2-dimensional spacetimes. Zbl 0591.53053
Birman, Graciela S.; Nomizu, Katsumi
18
1984
On the Gauss mapping for hypersurfaces of constant mean curvature in the sphere. Zbl 0184.47004
Nomizu, K.; Smyth, B.
17
1969
Fundamentals of linear algebra. Zbl 0148.01601
Nomizu, K.
16
1966
The axiom of spheres in Riemannian geometry. Zbl 0218.53057
Leung, D. S.; Nomizu, K.
15
1971
On completeness in affine differential geometry. Zbl 0587.53010
Nomizu, Katsumi
15
1986
Kinematics and differential geometry of submanifolds. Zbl 0395.53005
Nomizu, Katsumi
14
1978
On isoparametric hypersurfaces in the Lorentzian space forms. Zbl 0469.53054
Nomizu, Katsumi
14
1981
Notes on conjugate connections. Zbl 0840.53018
Nomizu, Katsumi; Simon, Udo
13
1992
Centroaffine immersions of codimension two and projective hypersurface theory. Zbl 0791.53011
Nomizu, Katsumi; Sasaki, Takeshi
13
1993
A theorem on curvature tensor fields. Zbl 0139.39201
Nomizu, K.; Ozeki, H.
13
1962
Remarks on sectional curvature of an indefinite metric. Zbl 0524.53040
Nomizu, Katsumi
13
1983
Umbilical submanifolds and Morse functions. Zbl 0246.53050
Nomizu, Katsumi; Rodriguez, Lucio
13
1972
Studies of Riemannian homogeneous spaces. Zbl 0067.14502
Nomizu, Katsumi
12
1955
On a certain class of homogeneous projectively flat manifolds. Zbl 0641.53053
Nomizu, Katsumi; Pinkall, Ulrich
10
1987
On the group of affine transformations of an affinely connected manifolds. Zbl 0051.39604
Nomizu, Katsumi
9
1953
Isometric immersions of the hyperbolic plane into the hyperbolic space. Zbl 0256.53042
Nomizu, Katsumi
9
1973
Uniqueness of the normal connections and congruence of isometric immersions. Zbl 0341.53015
Nomizu, Katsumi
9
1976
On the geometry of affine Kähler immersions. Zbl 0701.53038
Nomizu, Katsumi; Pinkall, Ulrich; Podesta, Fabio
7
1990
On the decomposition of generalized curvature tensor fields. Codazzi, Ricci, Bianchi and Weyl revisited. Zbl 0244.53032
Nomizu, Katsumi
7
1972
Affine differential geometry. Paperback reprint of the hardback edition 1994. Zbl 1140.53001
Nomizu, Katsumi; Sasaki, Takeshi
6
2008
On the spaces of generalized curvature tensor fields and second fundamental forms. Zbl 0218.53064
Nomizu, K.
6
1971
On the rank and curvature of non-singular complex hypersurfaces in a complex projective space. Zbl 0174.24701
Nomizu, Katsumi
6
1969
Reduction theorem for connections and its application to the problem of isotropy and holonomy groups of a Riemannian manifold. Zbl 0067.14503
Nomizu, Katsumi
6
1955
A generalization of Lelieuvre’s formula. Zbl 0758.53004
Li, An-Min; Nomizu, Katsumi; Wang, Changping
5
1991
On normal and conormal maps for affine hypersurfaces. Zbl 0761.53007
Nomizu, Katsumi; Opozda, Barbara
5
1992
Locally symmetric connections on possibly degenerate affine hypersurfaces. Zbl 0770.53008
Nomizu, Katsumi; Opozda, Barbara
5
1992
Geodesics in affine differential geometry. Zbl 0842.53006
Nomizu, Katsumi; Vrancken, Luc
5
1995
On affine hypersurfaces with parallel nullity. Zbl 0778.53009
Nomizu, Katsumi; Opozda, Barbara
5
1992
Sur les transformations affines d’une variété riemannienne. Zbl 0051.12902
Nomizu, Katsumi
5
1953
On infinitesimal holonomy and isotropy groups. Zbl 0096.16103
Nomizu, Katsumi
5
1957
On the geometry of projective immersions. Zbl 0667.53010
Nomizu, Katsumi; Pinkall, Ulrich
5
1989
Integral formulas for affine surfaces and rigidity theorems of Cohn-Vossen type. Zbl 0838.53015
Nomizu, Katsumi; Opozda, Barbara
4
1992
The Lorentz-Poincaré metric on the upper half-space and its extension. Zbl 0501.53039
Nomizu, Katsumi
4
1982
On Frenet equations for curves of class \(C^\infty\). Zbl 0107.15304
Nomizu, Katsumi
4
1959
Some results related to the equivalence problem in Riemannian geometry. Zbl 0148.15602
Nomizu, K.; Yano, K.
4
1967
Generalized central spheres and the notion of spheres in Riemannian geometry. Zbl 0261.53032
Nomizu, Katsumi
4
1973
Conditions for constancy of the holomorphic sectional curvature. Zbl 0279.53031
Nomizu, Katsumi
4
1973
A characterization of the Veronese varieties. Zbl 0305.53046
Nomizu, Katsumi
4
1976
Isometric immersions of Lorentzian space forms. Zbl 0354.53046
Graves, Larry; Nomizu, Katsumi
4
1978
On flat surfaces in S//\(1^ 3\) and H//\(1^ 3\). Zbl 0485.53047
Dajczer, Marcos; Nomizu, Katsumi
3
1981
On the classification of projectively homogeneous surfaces. Zbl 0761.53009
Nomizu, Katsumi; Sasaki, Takeshi
3
1991
On the group of a topological group. Zbl 0041.15904
Nomizu, Katsumi; Goto, Morikuni
3
1950
Un théorème sur les groupes d’holonomie. Zbl 0070.39001
Nomizu, Katsumi
3
1956
Sur les algèbres de Lie de générateurs de Killing et l’homogeneite d’une variété Riemannienne. Zbl 0103.38603
Nomizu, Katsumi
3
1962
Some results related to the equivalence problem in Riemannian geometry. Zbl 0151.28203
Nomizu, Katsumi; Yano, Kentaro
3
1966
Eine Kennzeichnung der projektiven Unterräume in dem komplexen projektiven Raum nach ihren Geodätischen. Zbl 0278.53045
Nomizu, Katsumi
3
1974
A survey of recent results in affine differential geometry. Zbl 0745.53005
Nomizu, Katsumi
2
1991
On certain quartic forms for affine surfaces. Zbl 0799.53014
Nomizu, Katsumi; Sasaki, Takeshi
2
1992
Holonomy, Ricci tensor and Killing vector fields. Zbl 0103.15203
Nomizu, Katsumi
2
1961
Recent development in the theory of connections and holonomy groups. Zbl 0113.15503
Nomizu, K.
2
1961
Recent results in affine differential geometry – an introduction and a survey. Zbl 0923.53006
Nomizu, Katsumi
2
1993
A characterization of \(n\)-spheres in space forms and its complex analogue. Zbl 0234.53049
Nomizu, Katsumi
1
1973
Fundamentals of linear algebra. 2nd ed. Zbl 0405.15002
Nomizu, Katsumi
1
1979
Another rigidity theorem for affine immersions. Zbl 0837.53011
Nomizu, Katsumi; Vrancken, Luc
1
1995
Application de l’étude des transformations affines aux espaces homogènes riemanniens. Zbl 0052.17505
Nomizu, Katsumi
1
1953
Remarques sur les groupes d’holonomie et d’isotropie. Zbl 0068.35702
Nomizu, Katsumi
1
1955
On the degree of differentiability of curves used in the definition of the holonomy group. Zbl 0105.16003
Nomizu, Katsumi; Ozeki, Hideki
1
1962
Quelques résultats en géométrie différentielle des espaces homogenes. Zbl 0122.40602
Nomizu, K.
1
1959
On infinitesimal transformations pöreser preserving the curvature tensor field and its covariant differentials. Zbl 0127.38303
Nomizu, K.; Yano, K.
1
1964
Globally defined linear connections on the real line and the circle. Zbl 0965.53015
Nomizu, Katsumi; Sasaki, Takeshi
1
1999
Lorentzian geometry for 2\(\times 2\) real matrices. Zbl 0719.15008
Nomizu, Katsumi; Pinkall, Ulrich
1
1991
On the Cartan-Norden theorem for affine Kähler immersions. Zbl 0719.53029
Nomizu, Katsumi; Podestà, Fabio
1
1991
Affine differential geometry. Paperback reprint of the hardback edition 1994. Zbl 1140.53001
Nomizu, Katsumi; Sasaki, Takeshi
6
2008
Globally defined linear connections on the real line and the circle. Zbl 0965.53015
Nomizu, Katsumi; Sasaki, Takeshi
1
1999
Geodesics in affine differential geometry. Zbl 0842.53006
Nomizu, Katsumi; Vrancken, Luc
5
1995
Another rigidity theorem for affine immersions. Zbl 0837.53011
Nomizu, Katsumi; Vrancken, Luc
1
1995
Affine differential geometry. Zbl 0834.53002
Nomizu, Katsumi; Sasaki, Takeshi
300
1994
A new equiaffine theory for surfaces in \(\mathbb{R}^ 4\). Zbl 0810.53006
Nomizu, Katsumi; Vrancken, Luc
27
1993
Centroaffine immersions of codimension two and projective hypersurface theory. Zbl 0791.53011
Nomizu, Katsumi; Sasaki, Takeshi
13
1993
Recent results in affine differential geometry – an introduction and a survey. Zbl 0923.53006
Nomizu, Katsumi
2
1993
Notes on conjugate connections. Zbl 0840.53018
Nomizu, Katsumi; Simon, Udo
13
1992
On normal and conormal maps for affine hypersurfaces. Zbl 0761.53007
Nomizu, Katsumi; Opozda, Barbara
5
1992
Locally symmetric connections on possibly degenerate affine hypersurfaces. Zbl 0770.53008
Nomizu, Katsumi; Opozda, Barbara
5
1992
On affine hypersurfaces with parallel nullity. Zbl 0778.53009
Nomizu, Katsumi; Opozda, Barbara
5
1992
Integral formulas for affine surfaces and rigidity theorems of Cohn-Vossen type. Zbl 0838.53015
Nomizu, Katsumi; Opozda, Barbara
4
1992
On certain quartic forms for affine surfaces. Zbl 0799.53014
Nomizu, Katsumi; Sasaki, Takeshi
2
1992
A new model of unimodular-affinely homogeneous surfaces. Zbl 0753.53008
Nomizu, Katsumi; Sasaki, Takeshi
21
1991
A generalization of Lelieuvre’s formula. Zbl 0758.53004
Li, An-Min; Nomizu, Katsumi; Wang, Changping
5
1991
On the classification of projectively homogeneous surfaces. Zbl 0761.53009
Nomizu, Katsumi; Sasaki, Takeshi
3
1991
A survey of recent results in affine differential geometry. Zbl 0745.53005
Nomizu, Katsumi
2
1991
Lorentzian geometry for 2\(\times 2\) real matrices. Zbl 0719.15008
Nomizu, Katsumi; Pinkall, Ulrich
1
1991
On the Cartan-Norden theorem for affine Kähler immersions. Zbl 0719.53029
Nomizu, Katsumi; Podestà, Fabio
1
1991
Conjugate connections and Radon’s theorem in affine differential geometry. Zbl 0712.53008
Dillen, Frankie; Nomizu, Katsumi; Vrancken, Luc
35
1990
Affine hypersurfaces with parallel cubic forms. Zbl 0696.53006
Bokan, Neda; Nomizu, Katsumi; Simon, Udo
30
1990
On the geometry of affine Kähler immersions. Zbl 0701.53038
Nomizu, Katsumi; Pinkall, Ulrich; Podesta, Fabio
7
1990
Cayley surfaces in affine differential geometry. Zbl 0684.53011
Nomizu, Katsumi; Pinkall, Ulrich
26
1989
On affine surfaces whose cubic forms are parallel relative to the affine metric. Zbl 0705.53010
Magid, Martin A.; Nomizu, Katsumi
18
1989
On the geometry of projective immersions. Zbl 0667.53010
Nomizu, Katsumi; Pinkall, Ulrich
5
1989
Cubic form theorem for affine immersions. Zbl 0657.53007
Nomizu, Katsumi; Pinkall, Ulrich
25
1988
On the geometry of affine immersions. Zbl 0629.53012
Nomizu, Katsumi; Pinkall, Ulrich
51
1987
On a certain class of homogeneous projectively flat manifolds. Zbl 0641.53053
Nomizu, Katsumi; Pinkall, Ulrich
10
1987
On completeness in affine differential geometry. Zbl 0587.53010
Nomizu, Katsumi
15
1986
Trigonometry in Lorentzian geometry. Zbl 0555.51009
Birman, Graciela S.; Nomizu, Katsumi
35
1984
Surfaces of revolution with constant mean curvature in Lorentz-Minkowski space. Zbl 0535.53002
Hano, Jun-ichi; Nomizu, Katsumi
21
1984
The Gauss-Bonnet theorem for 2-dimensional spacetimes. Zbl 0591.53053
Birman, 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 0507.53042
Hano, Jun-ichi; Nomizu, Katsumi
19
1983
Remarks on sectional curvature of an indefinite metric. Zbl 0524.53040
Nomizu, Katsumi
13
1983
The Lorentz-Poincaré metric on the upper half-space and its extension. Zbl 0501.53039
Nomizu, Katsumi
4
1982
Foundations of differential geometry. Vol. II. (Osnovy differentsial’noj geometrii. Tom II). Transl. from the English by L. V. Sabinin. Zbl 0526.53001
Kobayashi, 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 0508.53002
Kobayashi, Sh.; Nomizu, K.
19
1981
On isoparametric hypersurfaces in the Lorentzian space forms. Zbl 0469.53054
Nomizu, Katsumi
14
1981
On flat surfaces in S//\(1^ 3\) and H//\(1^ 3\). Zbl 0485.53047
Dajczer, Marcos; Nomizu, Katsumi
3
1981
On sectional curvature of indefinite metrics. II. Zbl 0411.53010
Dajczer, Marcos; Nomizu, Katsumi
19
1980
On the boundedness of Ricci curvature of an indefinite metric. Zbl 0472.53065
Dajczer, Marcos; Nomizu, Katsumi
18
1980
Left-invariant Lorentz metrics on Lie groups. Zbl 0397.53047
Nomizu, Katsumi
32
1979
Fundamentals of linear algebra. 2nd ed. Zbl 0405.15002
Nomizu, Katsumi
1
1979
On sectional curvature of indefinite metrics. Zbl 0366.53007
Graves, Larry; Nomizu, Katsumi
18
1978
Kinematics and differential geometry of submanifolds. Zbl 0395.53005
Nomizu, Katsumi
14
1978
Isometric immersions of Lorentzian space forms. Zbl 0354.53046
Graves, Larry; Nomizu, Katsumi
4
1978
Uniqueness of the normal connections and congruence of isometric immersions. Zbl 0341.53015
Nomizu, Katsumi
9
1976
A characterization of the Veronese varieties. Zbl 0305.53046
Nomizu, Katsumi
4
1976
Elie Cartan’s work on isoparametric families of hypersurfaces. Zbl 0318.53052
Nomizu, Katsumi
28
1975
On circles and spheres in Riemannian geometry. Zbl 0273.53039
Nomizu, Katsumi; Yano, Kentaro
30
1974
Some results in E. Cartan’s theory of isoparametric families of hypersurfaces. Zbl 0275.53003
Nomizu, Katsumi
24
1974
Eine Kennzeichnung der projektiven Unterräume in dem komplexen projektiven Raum nach ihren Geodätischen. Zbl 0278.53045
Nomizu, Katsumi
3
1974
Characteristic roots and vectors of a differentiable family of symmetric matrices. Zbl 0277.15004
Nomizu, Katsumi
18
1973
Isometric immersions of the hyperbolic plane into the hyperbolic space. Zbl 0256.53042
Nomizu, Katsumi
9
1973
Generalized central spheres and the notion of spheres in Riemannian geometry. Zbl 0261.53032
Nomizu, Katsumi
4
1973
Conditions for constancy of the holomorphic sectional curvature. Zbl 0279.53031
Nomizu, Katsumi
4
1973
A characterization of \(n\)-spheres in space forms and its complex analogue. Zbl 0234.53049
Nomizu, Katsumi
1
1973
Umbilical submanifolds and Morse functions. Zbl 0246.53050
Nomizu, Katsumi; Rodriguez, Lucio
13
1972
On the decomposition of generalized curvature tensor fields. Codazzi, Ricci, Bianchi and Weyl revisited. Zbl 0244.53032
Nomizu, Katsumi
7
1972
The axiom of spheres in Riemannian geometry. Zbl 0218.53057
Leung, D. S.; Nomizu, K.
15
1971
On the spaces of generalized curvature tensor fields and second fundamental forms. Zbl 0218.53064
Nomizu, K.
6
1971
Foundations of differential geometry. Vol. II. Zbl 0175.48504
Kobayashi, Shoshichi; Nomizu, Katsumi
1969
A formula of Simons’ type and hypersurfaces with constant mean curvature. Zbl 0196.25103
Nomizu, K.; Smyth, B.
52
1969
On the Gauss mapping for hypersurfaces of constant mean curvature in the sphere. Zbl 0184.47004
Nomizu, K.; Smyth, B.
17
1969
On the rank and curvature of non-singular complex hypersurfaces in a complex projective space. Zbl 0174.24701
Nomizu, Katsumi
6
1969
On hypersurfaces satisfying a certain condition on the curvature tensor. Zbl 0174.53301
Nomizu, K.
50
1968
Differential geometry of complex hypersurfaces. II. Zbl 0181.50103
Nomizu, Katsumi; Smyth, Brian
26
1968
Some results related to the equivalence problem in Riemannian geometry. Zbl 0148.15602
Nomizu, K.; Yano, K.
4
1967
Fundamentals of linear algebra. Zbl 0148.01601
Nomizu, K.
16
1966
Some results related to the equivalence problem in Riemannian geometry. Zbl 0151.28203
Nomizu, Katsumi; Yano, Kentaro
3
1966
On infinitesimal transformations pöreser preserving the curvature tensor field and its covariant differentials. Zbl 0127.38303
Nomizu, K.; Yano, K.
1
1964
Foundations of differential geometry. I. Zbl 0119.37502
Kobayashi, Shoshichi; Nomizu, Katsumi
1963
A theorem on curvature tensor fields. Zbl 0139.39201
Nomizu, K.; Ozeki, H.
13
1962
Sur les algèbres de Lie de générateurs de Killing et l’homogeneite d’une variété Riemannienne. Zbl 0103.38603
Nomizu, Katsumi
3
1962
On the degree of differentiability of curves used in the definition of the holonomy group. Zbl 0105.16003
Nomizu, Katsumi; Ozeki, Hideki
1
1962
The existence of complete Riemannian metrics. Zbl 0102.16401
Nomizu, Katsumi; Ozeki, Hideki
59
1961
Holonomy, Ricci tensor and Killing vector fields. Zbl 0103.15203
Nomizu, Katsumi
2
1961
Recent development in the theory of connections and holonomy groups. Zbl 0113.15503
Nomizu, K.
2
1961
On local and global existence of Killing vector-fields. Zbl 0093.35103
Nomizu, Katsumi
71
1960
On Frenet equations for curves of class \(C^\infty\). Zbl 0107.15304
Nomizu, Katsumi
4
1959
Quelques résultats en géométrie différentielle des espaces homogenes. Zbl 0122.40602
Nomizu, K.
1
1959
On automorphisms of a Kählerian structure. Zbl 0091.34802
Kobayashi, Shoshichi; Nomizu, Katsumi
175
1957
On infinitesimal holonomy and isotropy groups. Zbl 0096.16103
Nomizu, Katsumi
5
1957
Lie groups and differential geometry. Zbl 0071.15402
Nomizu, Katsumi
105
1956
Un théorème sur les groupes d’holonomie. Zbl 0070.39001
Nomizu, Katsumi
3
1956
Studies of Riemannian homogeneous spaces. Zbl 0067.14502
Nomizu, Katsumi
12
1955
Reduction theorem for connections and its application to the problem of isotropy and holonomy groups of a Riemannian manifold. Zbl 0067.14503
Nomizu, Katsumi
6
1955
Remarques sur les groupes d’holonomie et d’isotropie. Zbl 0068.35702
Nomizu, Katsumi
1
1955
Invariant affine connections on homogeneous spaces. Zbl 0059.15805
Nomizu, Katsumi
235
1954
On the cohomology of compact homogeneous spaces of nilpotent Lie groups. Zbl 0058.02202
Nomizu, Katsumi
157
1954
On the group of affine transformations of an affinely connected manifolds. Zbl 0051.39604
Nomizu, Katsumi
9
1953
Sur les transformations affines d’une variété riemannienne. Zbl 0051.12902
Nomizu, Katsumi
5
1953
Application de l’étude des transformations affines aux espaces homogènes riemanniens. Zbl 0052.17505
Nomizu, Katsumi
1
1953
On the group of a topological group. Zbl 0041.15904
Nomizu, Katsumi; Goto, Morikuni
3
1950
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

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