# zbMATH — the first resource for mathematics

## Kuranishi, Masatake

Compute Distance To:
 Author ID: kuranishi.masatake Published as: Kuranishi, Masatake; Kuranishi, M. External Links: MGP · Wikidata · GND
 Documents Indexed: 61 Publications since 1949, including 5 Books Biographic References: 1 Publication

#### Co-Authors

 56 single-authored 1 Auslander, Louis 1 Guillemin, Victor W. 1 Komatsu, Gen 1 Rodrigues, Alexandre Augusto Martins 1 Toyama, Hiraku
all top 5

#### Serials

 7 Nagoya Mathematical Journal 6 Annals of Mathematics. Second Series 3 American Journal of Mathematics 2 Journal of Differential Geometry 2 Forum Mathematicum 2 Kodai Mathematical Seminar Reports 1 Communications on Pure and Applied Mathematics 1 Hokkaido Mathematical Journal 1 Journal of the Korean Mathematical Society 1 Journal of Mathematics of Kyoto University 1 Proceedings of the American Mathematical Society 1 Tohoku Mathematical Journal. Second Series 1 The Asian Journal of Mathematics 1 RIMS Kokyuroku 1 Trends in Mathematics
all top 5

#### Fields

 27 Several complex variables and analytic spaces (32-XX) 11 Differential geometry (53-XX) 9 Partial differential equations (35-XX) 7 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 Manifolds and cell complexes (57-XX)

#### Citations contained in zbMATH Open

34 Publications have been cited 412 times in 353 Documents Cited by Year
On the locally complete families of complex analytic structures. Zbl 0106.15303
Kuranishi, M.
1962
On E. Cartan’s prolongation theorem of exterior differential systems. Zbl 0077.29701
Kuranishi, Masatake
1957
Lectures on involutive systems of partial differential equations. Zbl 0163.12001
Kuranishi, M.
1967
On everywhere dense imbedding of free groups in Lie groups. Zbl 0045.31003
Kuranishi, Masatake
1951
New proof for the existence of locally complete families of complex structures. Zbl 0144.21102
Kuranishi, M.
1965
On the holonomy group of locally euclidean spaces. Zbl 0079.38304
Auslander, Louis; Kuranishi, M.
1957
Strongly pseudoconvex CR structures over small balls. I: An a priori estimate. Zbl 0505.32018
Kuranishi, Masatake
1982
On the local theory of continuous infinite pseudo groups. I, II. Zbl 0212.56501
Kuranishi, M.
1961
Strongly pseudoconvex CR structures over small balls. III: An embedding theorem. Zbl 0576.32033
Kuranishi, Masatake
1982
Deformations of compact complex manifolds. Zbl 0256.32014
Kuranishi, Masatake
1971
Strongly pseudoconvex CR structures over small balls. II: A regularity theorem. Zbl 0505.32019
Kuranishi, Masatake
1982
Sheaves defined by differential equations and application to deformation theory of pseudo-group structures. Zbl 0119.07704
Kuranishi, M.
1964
On conditions of differentiability of locally compact groups. Zbl 0037.30502
Kuranishi, Masatake
1950
Quotients of pseudo groups by invariant fiberings. Zbl 0163.45301
Kuranishi, M.; Rodrigues, A. M.
1964
Deformations of compact complex manifolds. Zbl 0382.32014
Kuranishi, Masatake
1971
On non-connected maximally almost periodic groups. Zbl 0041.16001
Kuranishi, Masatake
1950
A note on families of complex structures. Zbl 0211.10301
Kuranishi, M.
1969
Two elements generations on semi-simple Lie groups. Zbl 0045.00702
Kuranishi, Masatake
1949
Some algebraic results concerning involutive subspaces. Zbl 0186.16403
Guillemin, Victor W.; Kuranishi, Masatake
1968
Application of $$\overline\partial_b$$ to deformation of isolated singularities. Zbl 0357.32014
Kuranishi, Masatake
1977
On euclidean local groups satisfying certain conditions. Zbl 0038.01701
Kuranishi, Masatake
1950
On the complexes on the boundary induced by elliptic complexes of differential operators. Zbl 0293.58012
Kuranishi, Masatake
1974
PDEs associated to the CR embedding theorem. Zbl 0973.32019
Kuranishi, Masatake
1999
CR geometry and Cartan geometry. Zbl 0817.53013
Kuranishi, Masatake
1995
CR structures and Fefferman’s conformal structures. Zbl 0876.53046
Kuranishi, Masatake
1997
On deformations of compact complex structures. Zbl 0116.06302
Kuranishi, Masatake
1963
Involutive property of resolutions of differential operators. Zbl 0158.40503
Kuranishi, Masatake
1966
Selected Papers of Masatake Kuranishi. Edited by Takao Akahori, Gen Komatsu, Kimio Miyajima, Makoto Namba, Duong H. Phong and Keizo Yamaguchi. Zbl 1295.32001
Kuranishi, Masatake
2013
On some metrics on $$S^ 2\times S^ 2$$. Zbl 0799.53053
Kuranishi, Masatake
1993
On a generalization of $$\bar \partial_b$$. Zbl 0277.35077
Kuranishi, Masatake
1973
The formula for the singularity of the Szegö kernel. I. Zbl 1047.32001
Kuranishi, Masatake
2003
On the group structure in homotopy groups. Zbl 0056.16404
Kuranishi, Masatake
1954
Cartan connections and CR structures with non-degenerate Levi-form. Zbl 0596.53031
Kuranishi, Masatake
1985
On the equivalence of symbols of non-degenerate CR structures. Zbl 0438.53035
Kuranishi, Masatake
1980
Selected Papers of Masatake Kuranishi. Edited by Takao Akahori, Gen Komatsu, Kimio Miyajima, Makoto Namba, Duong H. Phong and Keizo Yamaguchi. Zbl 1295.32001
Kuranishi, Masatake
2013
The formula for the singularity of the Szegö kernel. I. Zbl 1047.32001
Kuranishi, Masatake
2003
PDEs associated to the CR embedding theorem. Zbl 0973.32019
Kuranishi, Masatake
1999
CR structures and Fefferman’s conformal structures. Zbl 0876.53046
Kuranishi, Masatake
1997
CR geometry and Cartan geometry. Zbl 0817.53013
Kuranishi, Masatake
1995
On some metrics on $$S^ 2\times S^ 2$$. Zbl 0799.53053
Kuranishi, Masatake
1993
Cartan connections and CR structures with non-degenerate Levi-form. Zbl 0596.53031
Kuranishi, Masatake
1985
Strongly pseudoconvex CR structures over small balls. I: An a priori estimate. Zbl 0505.32018
Kuranishi, Masatake
1982
Strongly pseudoconvex CR structures over small balls. III: An embedding theorem. Zbl 0576.32033
Kuranishi, Masatake
1982
Strongly pseudoconvex CR structures over small balls. II: A regularity theorem. Zbl 0505.32019
Kuranishi, Masatake
1982
On the equivalence of symbols of non-degenerate CR structures. Zbl 0438.53035
Kuranishi, Masatake
1980
Application of $$\overline\partial_b$$ to deformation of isolated singularities. Zbl 0357.32014
Kuranishi, Masatake
1977
On the complexes on the boundary induced by elliptic complexes of differential operators. Zbl 0293.58012
Kuranishi, Masatake
1974
On a generalization of $$\bar \partial_b$$. Zbl 0277.35077
Kuranishi, Masatake
1973
Deformations of compact complex manifolds. Zbl 0256.32014
Kuranishi, Masatake
1971
Deformations of compact complex manifolds. Zbl 0382.32014
Kuranishi, Masatake
1971
A note on families of complex structures. Zbl 0211.10301
Kuranishi, M.
1969
Some algebraic results concerning involutive subspaces. Zbl 0186.16403
Guillemin, Victor W.; Kuranishi, Masatake
1968
Lectures on involutive systems of partial differential equations. Zbl 0163.12001
Kuranishi, M.
1967
Involutive property of resolutions of differential operators. Zbl 0158.40503
Kuranishi, Masatake
1966
New proof for the existence of locally complete families of complex structures. Zbl 0144.21102
Kuranishi, M.
1965
Sheaves defined by differential equations and application to deformation theory of pseudo-group structures. Zbl 0119.07704
Kuranishi, M.
1964
Quotients of pseudo groups by invariant fiberings. Zbl 0163.45301
Kuranishi, M.; Rodrigues, A. M.
1964
On deformations of compact complex structures. Zbl 0116.06302
Kuranishi, Masatake
1963
On the locally complete families of complex analytic structures. Zbl 0106.15303
Kuranishi, M.
1962
On the local theory of continuous infinite pseudo groups. I, II. Zbl 0212.56501
Kuranishi, M.
1961
On E. Cartan’s prolongation theorem of exterior differential systems. Zbl 0077.29701
Kuranishi, Masatake
1957
On the holonomy group of locally euclidean spaces. Zbl 0079.38304
Auslander, Louis; Kuranishi, M.
1957
On the group structure in homotopy groups. Zbl 0056.16404
Kuranishi, Masatake
1954
On everywhere dense imbedding of free groups in Lie groups. Zbl 0045.31003
Kuranishi, Masatake
1951
On conditions of differentiability of locally compact groups. Zbl 0037.30502
Kuranishi, Masatake
1950
On non-connected maximally almost periodic groups. Zbl 0041.16001
Kuranishi, Masatake
1950
On euclidean local groups satisfying certain conditions. Zbl 0038.01701
Kuranishi, Masatake
1950
Two elements generations on semi-simple Lie groups. Zbl 0045.00702
Kuranishi, Masatake
1949
all top 5

#### Cited by 388 Authors

 7 Johnson, Harold H. 5 Gelander, Tsachik 5 Horikawa, Eiji 5 Olver, Peter John 5 Prástaro, Agostino 4 Auslander, Louis 4 Catanese, Fabrizio M. E. 4 El Assoudi-Baikari, Rachida 4 Lychagin, Valentin V. 4 Shaw, Mei-Chi 3 Akahori, Takao 3 Breuillard, Emmanuel 3 Cho, Sanghyun 3 Fujiki, Akira 3 Griffiths, Phillip Augustus 3 Kakié, Kunio 3 Kruglikov, Boris S. 3 Lu, Caihui 3 Meersseman, Laurent 3 Meleshko, Sergey V. 3 Muriel, Francisco J. 3 Nijenhuis, Albert 3 Pohjanpelto, Juha 3 Richardson, Roger Wolcott 3 Rodrigues, Alexandre Augusto Martins 3 Valiquette, Francis 3 Vanžura, Jiří 3 Vosylius, R. V. 2 Bauer, Ingrid C. 2 Carrà Ferro, Giuseppa 2 Cecotti, Sergio 2 Chern, Shiing-Shen 2 Cid, Carlos Frederico 2 Cowen, Michael J. 2 D’Alfonso, Lisi 2 DeTurck, Dennis M. 2 Dotti Miatello, Isabel G. 2 Douady, Adrien 2 Douglas, Ronald George 2 Falbel, Elisha 2 Gerdt, Vladimir P. 2 Giunashvili, Z. 2 Glutsyuk, Alexey A. 2 Goldbring, Isaac 2 Goldschmidt, Hubert Leopold 2 Grauert, Hans 2 Hamrouni, Hatem 2 Hounie, Jorge G. 2 Isaev, Alexander 2 Jacobowitz, Howard 2 Jeronimo, Gabriela 2 Kawai, Takahiro 2 Kiremidjian, Garo K. 2 Krupka, Demeter 2 Li, Xiaoshan 2 Liu, Wende 2 Malagutti, Pedro A. 2 Matsumoto, Yoshihiko 2 Miatello, Roberto Jorge 2 Miyajima, Kimio 2 Moriyama, Takayuki 2 Mukhin, Yurii N. 2 Namba, Makoto 2 Neeb, Karl-Hermann 2 Peters, Christiaan Anthonius Maria 2 Rosay, Jean-Pierre 2 Schumacher, Georg 2 Shapeev, Vasiliĭ Pavlovich 2 Silva Leite, Fátima 2 Solernó, Pablo 2 Sternberg, Shlomo 2 Tang, Liming 2 Tipler, Carl 2 Ueno, Kazushige 2 Verbitsky, Misha 2 Webster, Sidney M. 2 Wright, Marcus W. 1 Abels, Herbert 1 Abib, Odinette Renee 1 Agarwal, Ravi P. 1 Agrachev, Andreĭ Aleksandrovich 1 Akhmedov, Azer 1 Alberti, Maria Alberta 1 Albuquerque, Helena 1 Altafini, Claudio 1 Andreotti, Aldo 1 Antonelli, Peter Louis 1 Arms, Judith Meryl 1 Atri, J. E.d’ 1 Attioui, Abdelali 1 Auslander, Maurice 1 Ayala, David 1 Bampi, Franco 1 Baraglia, David 1 Barberis, María Laura 1 Barco, M. A. 1 Barker, Laurence 1 Barletta, Elisabetta 1 Barlev, Jonathan 1 Barrett, David E. ...and 288 more Authors
all top 5

#### Cited in 122 Serials

 16 Inventiones Mathematicae 16 Mathematische Annalen 15 Proceedings of the American Mathematical Society 14 Transactions of the American Mathematical Society 13 Bulletin of the American Mathematical Society 10 The Journal of Geometric Analysis 9 Publications of the Research Institute for Mathematical Sciences, Kyoto University 7 Annales de l’Institut Fourier 7 Compositio Mathematica 7 Duke Mathematical Journal 7 Journal of Algebra 7 Mathematische Zeitschrift 7 Proceedings of the Japan Academy 6 Journal of Mathematical Physics 6 Journal of Soviet Mathematics 6 Tohoku Mathematical Journal. Second Series 6 Acta Applicandae Mathematicae 5 Journal of Geometry and Physics 5 Advances in Mathematics 5 Nagoya Mathematical Journal 5 Journal of Symbolic Computation 5 Linear Algebra and its Applications 5 Journal of Mathematical Sciences (New York) 4 Communications in Mathematical Physics 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Czechoslovak Mathematical Journal 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Annals of Mathematics. Second Series 3 Journal d’Analyse Mathématique 3 Journal of Mathematical Analysis and Applications 3 Reports on Mathematical Physics 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Journal of Differential Equations 3 Journal für die Reine und Angewandte Mathematik 3 Proceedings of the Japan Academy. Series A 3 Annals of Global Analysis and Geometry 3 International Journal of Mathematics 3 Differential Geometry and its Applications 3 Journal of Dynamical and Control Systems 2 Applicable Analysis 2 International Journal of Theoretical Physics 2 Israel Journal of Mathematics 2 Lithuanian Mathematical Journal 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Cahiers de Topologie et Géométrie Différentielle Catégoriques 2 Indiana University Mathematics Journal 2 Journal of Pure and Applied Algebra 2 Manuscripta Mathematica 2 Michigan Mathematical Journal 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Osaka Journal of Mathematics 2 Topology and its Applications 2 Advances in Applied Mathematics 2 Experimental Mathematics 2 Transformation Groups 2 Journal of Group Theory 2 Journal of the European Mathematical Society (JEMS) 2 Journal of High Energy Physics 2 Nonlinear Analysis. Real World Applications 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Topology and Analysis 2 Bulletin of Mathematical Sciences 1 Archive for History of Exact Sciences 1 Communications in Algebra 1 Computer Methods in Applied Mechanics and Engineering 1 General Relativity and Gravitation 1 Journal of Applied Mathematics and Mechanics 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 Theoretical and Mathematical Physics 1 Ukrainian Mathematical Journal 1 Arkiv för Matematik 1 Prikladnaya Matematika i Mekhanika 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica 1 Algebra and Logic 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 BIT 1 Boletim da Sociedade Brasileira de Matemática 1 Bulletin de la Société Mathématique de France 1 Colloquium Mathematicum 1 Geometriae Dedicata 1 Glasgow Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Kodai Mathematical Journal 1 Results in Mathematics 1 Theoretical Computer Science 1 Ergodic Theory and Dynamical Systems 1 Journal of Automated Reasoning 1 Science in China. Series A 1 European Journal of Applied Mathematics 1 Geometric and Functional Analysis. GAFA 1 L’Enseignement Mathématique. 2e Série 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Chinese Science Bulletin ...and 22 more Serials
all top 5

#### Cited in 40 Fields

 112 Several complex variables and analytic spaces (32-XX) 85 Differential geometry (53-XX) 78 Global analysis, analysis on manifolds (58-XX) 57 Partial differential equations (35-XX) 43 Topological groups, Lie groups (22-XX) 39 Algebraic geometry (14-XX) 34 Nonassociative rings and algebras (17-XX) 20 Group theory and generalizations (20-XX) 20 Manifolds and cell complexes (57-XX) 15 Commutative algebra (13-XX) 12 Quantum theory (81-XX) 11 Systems theory; control (93-XX) 10 Computer science (68-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Algebraic topology (55-XX) 8 Relativity and gravitational theory (83-XX) 6 Functions of a complex variable (30-XX) 6 Ordinary differential equations (34-XX) 5 Field theory and polynomials (12-XX) 5 Operator theory (47-XX) 5 General topology (54-XX) 4 Functional analysis (46-XX) 4 Numerical analysis (65-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Associative rings and algebras (16-XX) 2 Category theory; homological algebra (18-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Geometry (51-XX) 2 Mechanics of particles and systems (70-XX) 2 Fluid mechanics (76-XX) 1 $$K$$-theory (19-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Mechanics of deformable solids (74-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.