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1

On the Cohomology of Compact Homogeneous Spaces of Nilpotent Lie Groups

Nomizu, Katsumi

Journal:

Annals of Mathematics

Year:

1954

Language:

english

File:

PDF, 727 KB

english, 1954

2

Invariant Affine Connections on Homogeneous Spaces

Journal:

American Journal of Mathematics

Year:

1954

Language:

english

File:

PDF, 2.06 MB

english, 1954

3

On Local and Global Existence of Killing Vector Fields

Journal:

Annals of Mathematics

Year:

1960

Language:

english

File:

PDF, 1.14 MB

english, 1960

4

On circles and spheres in Riemannian geometry

Katsumi Nomizu, Kentaro Yano

Journal:

Mathematische Annalen

Year:

1974

Language:

english

File:

PDF, 315 KB

english, 1974

5

Trigonometry in Lorentzian Geometry

Graciela S. Birman and Katsumi Nomizu

Journal:

American Mathematical Monthly

Year:

1984

Language:

english

File:

PDF, 635 KB

english, 1984

6

On the geometry of affine immersions

Katsumi Nomizu, Ulrich Pinkall

Journal:

Mathematische Zeitschrift

Year:

1987

Language:

english

File:

PDF, 729 KB

english, 1987

7

Holonomy, Ricci Tensor and Killing Vector Fields

Journal:

Proceedings of the American Mathematical Society

Year:

1961

Language:

english

File:

PDF, 173 KB

english, 1961

8

Ricci and Levi-Civita's Tensor Analysis Paper. Lie Groups: History, Frontiers, and Applications, Vol. 2by Robert Hermann

Review by: Katsumi Nomizu

Journal:

American Scientist

Year:

1976

Language:

english

File:

PDF, 365 KB

english, 1976

9

Recent development in the theory of connections and holonomy groups

Journal:

Advances in Mathematics

Year:

1961

Language:

english

File:

PDF, 2.58 MB

english, 1961

10

On the gauss mapping for hypersurfaces of constant mean curvature in the sphere

Katsumi Nomizu, Brian Smyth

Journal:

Commentarii Mathematici Helvetici

Year:

1969

Language:

english

File:

PDF, 290 KB

english, 1969

11

Lorentzian geometry for 2 × 2 real matrices

Nomizu, Katsumi, Pinkall, Ulrich

Journal:

Linear and Multilinear Algebra

Year:

1991

Language:

english

File:

PDF, 223 KB

english, 1991

12

GEODESICS IN AFFINE DIFFERENTIAL GEOMETRY

NOMIZU, KATSUMI, VRANCKEN, LUC

Journal:

International Journal of Mathematics

Year:

1995

Language:

english

File:

PDF, 589 KB

english, 1995

13

Surfaces of revolution with constant mean curvature in Lorentz-Minkowski space

Hano, Jun-ich, Nomizu, Katsumi

Journal:

Tohoku Mathematical Journal

Year:

1984

Language:

english

File:

PDF, 782 KB

english, 1984

14

On completeness in affine differential geometry

Journal:

Geometriae Dedicata

Year:

1986

Language:

english

File:

PDF, 266 KB

english, 1986

15

Some results related to the equivalence problem in Riemannian geometry

Katsumi Nomizu, Kentaro Yano

Journal:

Mathematische Zeitschrift

Year:

1967

Language:

english

File:

PDF, 418 KB

english, 1967

16

On sectional curvature of indefinite metrics. II

Marcos Dajczer, Katsumi Nomizu

Journal:

Mathematische Annalen

Year:

1980

Language:

english

File:

PDF, 183 KB

english, 1980

17

Isometric immersions of the hyperbolic plane into the hyperbolic space

Journal:

Mathematische Annalen

Year:

1973

Language:

english

File:

PDF, 569 KB

english, 1973

18

On sectional curvature of indefinite metrics

Larry Graves, Katsumi Nomizu

Journal:

Mathematische Annalen

Year:

1978

Language:

english

File:

PDF, 349 KB

english, 1978

19

Isometric immersions of lorentzian space forms

Larry Graves, Katsumi Nomizu

Journal:

Mathematische Annalen

Year:

1978

Language:

english

File:

PDF, 510 KB

english, 1978

20

A characterization ofn-spheres in space forms and its complex analogue

Journal:

Mathematische Annalen

Year:

1973

Language:

english

File:

PDF, 354 KB

english, 1973

21

On isometric immersions of the hyperbolic plane into the Lorentz-Minkowski space and the Monge-Ampère equation of a certain type

Jun-ichi Hano, Katsumi Nomizu

Journal:

Mathematische Annalen

Year:

1983

Language:

english

File:

PDF, 388 KB

english, 1983

22

Cubic form Theorem for Affine Immersions

Katsumi Nomizu,Ulrich Pinkall

Journal:

Results in Mathematics

Year:

1988

Language:

english

File:

PDF, 1.61 MB

english, 1988

23

On the Group of Affine Transformations of an Affinely Connected Manifold

Journal:

Proceedings of the American Mathematical Society

Year:

1953

Language:

english

File:

PDF, 248 KB

english, 1953

24

The Existence of Complete Riemannian Metrics

Katsumi Nomizu and Hideki Ozeki

Journal:

Proceedings of the American Mathematical Society

Year:

1961

Language:

english

File:

PDF, 183 KB

english, 1961

25

Kinematics and differential geometry of submanifolds

Nomizu, Katsumi

Journal:

Tohoku Mathematical Journal

Year:

1978

Language:

english

File:

PDF, 1.21 MB

english, 1978

26

The Gauss-Bonnet theorem for $2$-dimensional spacetimes.

Birman, Graciela S., Nomizu, Katsumi

Journal:

The Michigan Mathematical Journal

Year:

1984

File:

PDF, 374 KB

1984

27

On a certain class of homogeneous projectively flat manifolds

Nomizu, Katsumi, Pinkall, Ulrich

Journal:

Tohoku Mathematical Journal

Year:

1987

Language:

english

File:

PDF, 1.81 MB

english, 1987

28

The Lorentz-Poincar\'{e} metric on the upper half-space and its extension

NOMIZU, Katsumi

Journal:

Hokkaido Mathematical Journal

Year:

1982

Language:

english

File:

PDF, 638 KB

english, 1982

29

Trigonometry in Lorentzian Geometry

Birman, Graciela S., Nomizu, Katsumi

Journal:

American Mathematical Monthly

Year:

1984

Language:

english

File:

PDF, 574 KB

english, 1984

30

Un Theoreme sur Les Groupes D’holonomie

Nomizu, Katsumi

Journal:

Nagoya Mathematical Journal

Year:

1956

File:

PDF, 283 KB

1956

31

On the convexity of spacelike hypersurfaces with nonpositive curvature

Steven G. Harris, Katsumi Nomizu

Journal:

Geometriae Dedicata

Year:

1983

Language:

english

File:

PDF, 145 KB

english, 1983

32

Eine Kennzeichnung der projektiven Unterräume in dem komplexen projektiven Raum nach ihren Geodätischen

Journal:

Mathematische Zeitschrift

Year:

1974

Language:

german

File:

PDF, 137 KB

german, 1974

33

Conjugate connections and Radon's theorem in affine differential geometry

Franki Dillen, Katsumi Nomizu, Luc Vranken

Journal:

Monatshefte für Mathematik

Year:

1990

Language:

english

File:

PDF, 627 KB

english, 1990

34

A new model of unimodular-affinely homogeneous surfaces

Katsumi Nomizu, Takeshi Sasaki

Journal:

manuscripta mathematica

Year:

1991

Language:

english

File:

PDF, 214 KB

english, 1991

35

On a theorem of chern and terng on affine surfaces

Katsumi Nomizu, Takeshi Sasaki

Journal:

manuscripta mathematica

Year:

1990

Language:

english

File:

PDF, 150 KB

english, 1990

36

On the boundedness of Ricci curvature of an indefinite metric

Marcos Dajczer, Katsumi Nomizu

Journal:

Bulletin of the Brazilian Mathematical Society, New Series

Year:

1980

Language:

english

File:

PDF, 179 KB

english, 1980

37

A Theorem on Curvature Tensor Fields

Katsumi Nomizu and Hideki Ozeki

Journal:

Proceedings of the National Academy of Sciences

Year:

1962

Language:

english

File:

PDF, 133 KB

english, 1962

38

A NEW EQUIAFFINE THEORY FOR SURFACES IN ℝ 4

NOMIZU, KATSUMI, VRANCKEN, LUC

Journal:

International Journal of Mathematics

Year:

1993

Language:

english

File:

PDF, 1.16 MB

english, 1993

39

Another Rigidity Theorem for Affine Immersions

Katsumi Nomizu,Luc Vrancken

Journal:

Results in Mathematics

Year:

1995

Language:

english

File:

PDF, 734 KB

english, 1995

40

A Generalization of Lelieuvre’s Formula

An-Min Li,Katsumi Nomizu,Changping Wang

Journal:

Results in Mathematics

Year:

1991

Language:

english

File:

PDF, 1.77 MB

english, 1991

41

On the Classification of Projectively Homogeneous Surfaces

Katsumi Nomizu,Takeshi Sasaki

Journal:

Results in Mathematics

Year:

1991

Language:

english

File:

PDF, 4.00 MB

english, 1991

42

Some results in E. Cartan's theory of isoparametric families of hypersurfaces

Nomizu, Katsumi

Journal:

Bulletin of the American Mathematical Society

Year:

1973

Language:

english

File:

PDF, 463 KB

english, 1973

43

Remarks on Sectional Curvature of an Indefinite Metric

Journal:

Proceedings of the American Mathematical Society

Year:

1983

Language:

english

File:

PDF, 134 KB

english, 1983

44

Characteristic roots and vectors of a diifferentiable family of symmetric matrices †

Nomizu, Katsumi

Journal:

Linear and Multilinear Algebra

Year:

1973

Language:

english

File:

PDF, 161 KB

english, 1973

45

[North-Holland Mathematics Studies] Selected Papers of Kentaro Yano Volume 70 || Some Results Related to the Equivalence Problem in Riemannian Geometry

Nomizu, Katsumi

Year:

1982

Language:

english

File:

PDF, 542 KB

english, 1982

46

On the degree of differentiability of curves used in the definition of the holonomy group

Nomizu, Katsumi, Ozeki, Hideki

Journal:

Bulletin of the American Mathematical Society

Year:

1962

Language:

english

File:

PDF, 210 KB

english, 1962

47

The existence of complete Riemannian metrics

Nomizu, Katsumi, Ozeki, Hideki

Journal:

Proceedings of the American Mathematical Society

Year:

1961

Language:

english

File:

PDF, 237 KB

english, 1961

48

On isoparametric hypersurfaces in the Lorentzian space forms

NOMIZU, Katsumi

Journal:

Japanese Journal of Mathematics

Year:

1981

Language:

english

File:

PDF, 610 KB

english, 1981

49

Differential geometry of complex hypersurfaces II*

NOMIZU, Katsumi, SMYTH, Brian

Journal:

Journal of the Mathematical Society of Japan

Year:

1968

Language:

english

File:

PDF, 2.32 MB

english, 1968

50

On the rank and curvature of non-singular complex hypersurfaces in a complex projective space*

NOMIZU, Katsumi

Journal:

Journal of the Mathematical Society of Japan

Year:

1969

Language:

english

File:

PDF, 400 KB

english, 1969