Edit Profile (opens in new tab) Maeda, Yoshiaki Co-Author Distance Author ID: maeda.yoshiaki Published as: Maeda, Yoshiaki; Maeda, Y. Documents Indexed: 102 Publications since 1974, including 14 Additional arXiv Preprints 16 Contributions as Editor Co-Authors: 52 Co-Authors with 108 Joint Publications 1,121 Co-Co-Authors all top 5 Co-Authors 7 single-authored 54 Omori, Hideki 50 Yoshioka, Akira 31 Miyazaki, Naoya 11 Rosenberg, Steven 7 Kobayashi, Osamu 7 Sako, Akifumi 7 Watamura, Satoshi 6 Torres-Ardila, Fabian 5 Inoue, Atsushi 5 Kozono, Hideo 4 Bieliavsky, Pierre 4 Moriyoshi, Hitoshi 4 Naito, Hisashi 4 Weinstein, Alan David 3 Dito, Giuseppe 3 Kotani, Motoko 3 Tondeur, Philippe 2 Bonneau, Philippe 2 Bouarroudj, Sofiane 2 Carow-Watamura, Ursula 2 Koriyama, Akira 2 Larraín-Hubach, Andrés 2 Lu, Jiang-Hua 2 Manchon, Dominique 2 Michor, Peter Wolfram 2 Nakamura, Gen 2 Ochiai, Takushiro 2 Paycha, Sylvie 2 Sternheimer, Daniel 2 Suzuki, Toshiya 2 Tose, Nobuyuki 2 Umetsu, Hiroshi 1 Bourguignon, Jean-Pierre 1 de Goursac, Axel Marcillaud 1 Dubois-Violette, Michel 1 Egi, Satoshi 1 Eguchi, Tohru 1 Ehret, Quentin 1 Eliashberg, Yakov Matveevich 1 Guest, Martin A. 1 Isobe, Michiaki 1 Izui, Kazuhiro 1 Kajiura, Hiroshige 1 Kanai, Masahiko 1 Kawato, Mitsuo 1 Kriegl, Andreas 1 Liu, Zhangju 1 Mabuchi, Toshiki 1 Nagano, Tadashi 1 Natsume, Toshikazu 1 Nishikawa, Seiki 1 Nishiwaki, Shinji 1 Noguchi, Junjiro 1 Spinnler, Florian 1 Suzuki, Ryoji 1 Tate, Tatsuya 1 Terada, Kenjiro 1 Wu, Ke 1 Yamanobe, Takanobu 1 Yoshimura, Masataka all top 5 Serials 10 Tokyo Journal of Mathematics 5 Journal of Geometry and Physics 5 Proceedings of the Japan Academy. Series A 4 Letters in Mathematical Physics 4 Journal of the Mathematical Society of Japan 3 Advances in Mathematics 3 Japanese Journal of Mathematics. New Series 3 RIMS Kokyuroku 2 Journal of Mathematical Physics 2 Kodai Mathematical Journal 2 Tôhoku Mathematical Journal. Second Series 2 Transactions of the American Mathematical Society 2 Sugaku Expositions 2 Contemporary Mathematics 2 Progress in Mathematics 1 Biological Cybernetics 1 Communications in Mathematical Physics 1 International Journal for Numerical Methods in Engineering 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Acta Applicandae Mathematicae 1 Sūgaku 1 International Journal of Mathematics 1 Journal of Lie Theory 1 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 1 Journal of Algebra and its Applications 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Kodai Mathematical Seminar Reports 1 Advanced Studies in Pure Mathematics 1 Lecture Notes in Physics 1 Mathematical Physics Studies 1 Mathematical Sciences Research Institute Publications 1 Seminar on Mathematical Sciences 1 Travaux Mathématiques 1 Keio COE Lecture Series on Mathematical Science 1 Progress of Theoretical Physics. Supplement all top 5 Fields 71 Differential geometry (53-XX) 43 Global analysis, analysis on manifolds (58-XX) 33 Quantum theory (81-XX) 16 General and overarching topics; collections (00-XX) 13 Topological groups, Lie groups (22-XX) 13 Functional analysis (46-XX) 11 Nonassociative rings and algebras (17-XX) 9 Dynamical systems and ergodic theory (37-XX) 7 Algebraic geometry (14-XX) 7 Partial differential equations (35-XX) 6 Manifolds and cell complexes (57-XX) 3 Integral equations (45-XX) 3 Mechanics of particles and systems (70-XX) 3 Relativity and gravitational theory (83-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Operator theory (47-XX) 2 Computer science (68-XX) 2 Biology and other natural sciences (92-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 \(K\)-theory (19-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 72 Publications have been cited 468 times in 353 Documents Cited by ▼ Year ▼ On real hypersurfaces of a complex projective space. Zbl 0324.53039 Maeda, Yoshiaki 102 1976 Weyl manifolds and deformation quantization. Zbl 0734.58011 Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira 77 1991 Structural topology optimization of vibrating structures with specified eigenfrequencies and eigenmode shapes. Zbl 1113.74055 Maeda, Y.; Nishiwaki, S.; Izui, K.; Yoshimura, M.; Matsui, K.; Terada, K. 24 2006 On regular Frechet-Lie groups. IV: Definition and fundamental theorems. Zbl 0515.58004 Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira; Kobayashi, Osamu 16 1982 Universal deformation formulae, symplectic Lie groups and symmetric spaces. Zbl 1152.22009 Bieliavsky, Pierre; Bonneau, Philippe; Maeda, Yoshiaki 14 2007 Existence of a closed star product. Zbl 0771.58017 Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira 13 1992 Universal deformation formulae for three-dimensional solvable Lie groups. Zbl 1072.53033 Bieliavsky, P.; Bonneau, P.; Maeda, Y. 11 2005 Conformally flat hypersurfaces in a conformally flat Riemannian manifold. Zbl 0278.53018 Nishikawa, Seiki; Maeda, Yoshiaki 11 1974 Deformation quantization of Fréchet-Poisson algebras: Convergence of the Moyal product. Zbl 0987.53036 Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 10 2000 Smooth \(\star\)-algebras. Zbl 1026.46062 Dubois-Violette, Michel; Kriegl, Andreas; Maeda, Yoshiaki; Michor, Peter W. 10 2001 On integral transformations associated with a certain Lagrangian - as a prototype of quantization. Zbl 0584.58019 Inoue, Atsushi; Maeda, Yoshiaki 10 1985 Local smooth isometric embeddings of low dimensional Riemannian manifolds into Euclidean spaces. Zbl 0682.58046 Nakamura, Gen; Maeda, Yoshiaki 10 1989 On regular Frechet-Lie groups. V: Several basic properties. Zbl 0526.58003 Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira; Kobayashi, Osamu 9 1983 The mean curvature of gauge orbits. Zbl 0932.58003 Maeda, Yoshiaki; Rosenberg, Steven; Tondeur, Philippe 8 1993 Global solution for the Yang-Mills gradient flow on \(4\)-manifolds. Zbl 0849.58018 Kozono, Hideo; Maeda, Yoshiaki; Naito, Hisashi 8 1995 Theory of infinite dimensional Lie groups and its applications. Zbl 0527.58002 Kobayashi, Osamu; Yoshioka, Akira; Maeda, Yoshiaki; Omori, Hideki 8 1985 Orderings and non-formal deformation quantization. Zbl 1136.53064 Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 8 2007 Foundations of calculus on super Euclidean space \({\mathfrak R}^{m/n}\) based on a Fréchet-Grassmann algebra. Zbl 0737.58009 Inoue, Atsushi; Maeda, Yoshiaki 6 1991 Local isometric embedding problem of Riemannian 3-manifold into \(R^ 6\). Zbl 0622.53015 Nakamura, Gen; Maeda, Yoshiaki 6 1986 The geometry of loop spaces. I: \(H^{s}\)-Riemannian metrics. Zbl 1327.58027 Maeda, Yoshiaki; Rosenberg, Steven; Torres-Ardila, Fabián 6 2015 On regular Frechet-Lie groups. I: Some differential geometrical expressions of Fourier-integral operators on a Riemannian manifold. Zbl 0461.58003 Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira 6 1980 Deformation quantizations of Poisson algebras. Zbl 0820.58027 Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira 5 1994 Are vortex numbers preserved? Zbl 1145.53071 Maeda, Yoshiaki; Sako, Akifumi 5 2008 Equivariant, string and leading order characteristic classes associated to fibrations. Zbl 1286.53086 Larraín-Hubach, Andrés; Maeda, Yoshiaki; Rosenberg, Steven; Torres-Ardila, Fabián 5 2014 Noncommutative deformation of instantons. Zbl 1151.53078 Maeda, Yoshiaki; Sako, Akifumi 5 2008 On regular Fréchet-Lie groups. VIII: Primordial operators and Fourier integral operators. Zbl 0582.58034 Maeda, Yoshiaki; Omori, Hideki; Kobayashi, Osamu; Yoshioka, Akira 5 1985 Star exponential functions as two-valued elements. Zbl 1076.53105 Maeda, Y.; Miyazaki, N.; Omori, H.; Yoshioka, A. 4 2005 On regular Fréchet-Lie groups. VI: Infinite dimensional Lie groups which appear in general relativity. Zbl 0537.58005 Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira; Kobayashi, Osamu 4 1983 Gauge theories in noncommutative homogeneous Kähler manifolds. Zbl 1306.81304 Maeda, Yoshiaki; Sako, Akifumi; Suzuki, Toshiya; Umetsu, Hiroshi 4 2014 Strange phenomena related to ordering problems in quantizations. Zbl 1046.53057 Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 4 2003 On Lie algebras of vector fields. Zbl 0318.57023 Koriyama, Akira; Maeda, Yoshiaki; Omori, Hideki 4 1977 On regular Frechet-Lie groups. II: Composition rules of Fourier-integral operators on a Riemannian manifold. Zbl 0486.58002 Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira 4 1981 On regular Frechet-Lie groups. III: A second cohomology class related to the Lie algebra of pseudo-differential operators of order one. Zbl 0486.58003 Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira; Kobayashi, Osamu 4 1981 On regular Fréchet-Lie groups. VII: The group generated by pseudo- differential operators of negative order. Zbl 0565.58037 Yoshioka, Akira; Maeda, Yoshiaki; Omori, Hideki; Kobayashi, Osamu 4 1984 Poincaré-Cartan class and deformation quantization of Kähler manifolds. Zbl 0926.53035 Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 3 1998 Minimal orbits of metrics. Zbl 0895.57007 Maeda, Yoshiaki; Rosenberg, Steven; Tondeur, Philippe 3 1997 Convergent star product algebras on ‘\(ax+b\)’. Zbl 1036.53067 Bieliavsky, Pierre; Maeda, Yoshiaki 3 2002 On integral transformations associated with a certain Riemannian metric. Zbl 0516.53045 Inoue, Atsushi; Maeda, Yoshiaki 3 1982 Non-formal deformation quantization of Fréchet-Poisson algebras: the Heisenberg Lie algebra case. Zbl 1215.53081 Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 3 2007 Super oscillatory integrals and a path-integral for a non-relativistic spinning particle. Zbl 0621.58034 Inoue, Atsushi; Maeda, Yoshiaki 3 1987 Deformation quantization with separation of variables and gauge theories. Zbl 1346.53076 Maeda, Yoshiaki; Sako, Akifumi; Suzuki, Toshiya; Umetsu, Hiroshi 3 2015 On Lie algebras of vector fields on expansive sets. Zbl 0392.57006 Koriyama, Akira; Maeda, Yoshiaki; Omori, Hideki 3 1977 Anomalous quadratic exponentials in the star-products. Zbl 0968.53508 Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 3 2000 A stable manifold theorem for the Yang-Mills gradient flow. Zbl 0779.58013 Naito, Hisashi; Kozono, Hideo; Maeda, Yoshiaki 2 1990 The geometry of loop spaces. II: Characteristic classes. Zbl 1350.58011 Maeda, Yoshiaki; Rosenberg, Steven; Torres-Ardila, Fabián 2 2016 Traces and characteristic classes in infinite dimensions. Zbl 1319.58010 Maeda, Yoshiaki; Rosenberg, Steven 2 2015 Star exponential functions for quadratic forms and polar elements. Zbl 1047.53057 Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 2 2002 Non-commutative complex projective space. Zbl 0801.58004 Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira 2 1993 Noncommutative deformation of spinor zero mode and Atiyah-Drinfeld-Hitchin-Manin construction. Zbl 1274.81148 Maeda, Yoshiaki; Sako, Akifumi 2 2012 Poisson geometry in mathematics and physics. Proceedings of the international conference, Tokyo, Japan, June 5–9, 2006. Zbl 1131.53002 2 2008 Double and Lagrangian extensions for quasi-Frobenius Lie superalgebras. Zbl 07766211 Bouarroudj, Sofiane; Maeda, Yoshiaki 2 2023 On asymptotic stability for the Yang-Mills gradient flow. Zbl 0755.53021 Kozono, Hideo; Maeda, Yoshiaki 1 1989 Global calculus on Weyl manifolds. Zbl 0748.53021 Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira 1 1991 Convergent star products of Fréchet linear Poisson algebras of Heisenberg type. Zbl 1012.53068 Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 1 2001 Noncommutative 3-sphere: a model of noncommutative contact algebras. Zbl 1024.53058 Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 1 1998 A construction of a deformation quantization of a Poisson algebra. Zbl 1077.53515 Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira 1 1993 Minimal submanifolds in infinite dimensions. Zbl 1003.53048 Maeda, Yoshiaki; Rosenberg, Steve; Tondeur, Philippe 1 1995 Singular systems of exponential functions. Zbl 1049.53063 Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 1 2001 Noncommutative 3-sphere as an example of noncommutative contact algebras. Zbl 0890.17022 Omori, Hideki; Miyazaki, Naoya; Yoshioka, Akira; Maeda, Yoshiaki 1 1997 A Yang-Mills-Higgs gradient flow on \(\mathbb{R}^3\) blowing up at infinity. Zbl 0920.58020 Kozono, Hideo; Maeda, Yoshiaki; Naito, Hisashi 1 1998 Deformation quantizations of the Poisson algebra of Laurent polynomials. Zbl 0951.53058 Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 1 1998 Noncommutative geometry and physics 4. Selected papers based on lectures presented at the Tohoku Forum for Creativity in the thematic year 2015 “Fundamental problems in quantum physics: strings, black holes and quantum information”, and related events in the period 2014–2016. Zbl 1367.81008 1 2017 Non-formal star-exponential on contracted one-sheeted hyperboloids. Zbl 1339.22008 Bieliavsky, Pierre; de Goursac, Axel; Maeda, Yoshiaki; Spinnler, Florian 1 2016 Deformation of expressions for elements of an algebra. Zbl 1338.53120 Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 1 2014 The uniqueness of star-products on \(\mathbb{P}_ n(\mathbb{C})\). Zbl 0785.53024 Omori, H.; Maeda, Y.; Yoshioka, A. 1 1993 Deformation quantization and noncommutative differential geometry. Zbl 1246.53118 Maeda, Yoshiaki 1 2003 A Poincaré-Birkhoff-Witt theorem for infinite dimensional Lie algebras. Zbl 0803.17007 Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira 1 1994 Evaluation of ambiguity in fuzzy algorithm represented with fuzzy Petri net. Zbl 1087.68674 Maeda, Y. 1 1998 Geometric objects in an approach to quantum geometry. Zbl 1120.53055 Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 1 2007 On a characterization of quaternion projective space by differential equations. Zbl 0351.53032 Maeda, Yoshiaki 1 1976 Coordinates transformation and learning control for visually-guided voluntary movement with iteration: A Newton-like method in a function space. Zbl 0658.92023 Kawato, M.; Isobe, M.; Maeda, Y.; Suzuki, R. 1 1988 String theory and deformation quantization. Zbl 1218.53094 Maeda, Yoshiaki; Kajiura, Hiroshige 1 2007 Double and Lagrangian extensions for quasi-Frobenius Lie superalgebras. Zbl 07766211 Bouarroudj, Sofiane; Maeda, Yoshiaki 2 2023 Noncommutative geometry and physics 4. Selected papers based on lectures presented at the Tohoku Forum for Creativity in the thematic year 2015 “Fundamental problems in quantum physics: strings, black holes and quantum information”, and related events in the period 2014–2016. Zbl 1367.81008 1 2017 The geometry of loop spaces. II: Characteristic classes. Zbl 1350.58011 Maeda, Yoshiaki; Rosenberg, Steven; Torres-Ardila, Fabián 2 2016 Non-formal star-exponential on contracted one-sheeted hyperboloids. Zbl 1339.22008 Bieliavsky, Pierre; de Goursac, Axel; Maeda, Yoshiaki; Spinnler, Florian 1 2016 The geometry of loop spaces. I: \(H^{s}\)-Riemannian metrics. Zbl 1327.58027 Maeda, Yoshiaki; Rosenberg, Steven; Torres-Ardila, Fabián 6 2015 Deformation quantization with separation of variables and gauge theories. Zbl 1346.53076 Maeda, Yoshiaki; Sako, Akifumi; Suzuki, Toshiya; Umetsu, Hiroshi 3 2015 Traces and characteristic classes in infinite dimensions. Zbl 1319.58010 Maeda, Yoshiaki; Rosenberg, Steven 2 2015 Equivariant, string and leading order characteristic classes associated to fibrations. Zbl 1286.53086 Larraín-Hubach, Andrés; Maeda, Yoshiaki; Rosenberg, Steven; Torres-Ardila, Fabián 5 2014 Gauge theories in noncommutative homogeneous Kähler manifolds. Zbl 1306.81304 Maeda, Yoshiaki; Sako, Akifumi; Suzuki, Toshiya; Umetsu, Hiroshi 4 2014 Deformation of expressions for elements of an algebra. Zbl 1338.53120 Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 1 2014 Noncommutative deformation of spinor zero mode and Atiyah-Drinfeld-Hitchin-Manin construction. Zbl 1274.81148 Maeda, Yoshiaki; Sako, Akifumi 2 2012 Are vortex numbers preserved? Zbl 1145.53071 Maeda, Yoshiaki; Sako, Akifumi 5 2008 Noncommutative deformation of instantons. Zbl 1151.53078 Maeda, Yoshiaki; Sako, Akifumi 5 2008 Poisson geometry in mathematics and physics. Proceedings of the international conference, Tokyo, Japan, June 5–9, 2006. Zbl 1131.53002 2 2008 Universal deformation formulae, symplectic Lie groups and symmetric spaces. Zbl 1152.22009 Bieliavsky, Pierre; Bonneau, Philippe; Maeda, Yoshiaki 14 2007 Orderings and non-formal deformation quantization. Zbl 1136.53064 Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 8 2007 Non-formal deformation quantization of Fréchet-Poisson algebras: the Heisenberg Lie algebra case. Zbl 1215.53081 Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 3 2007 Geometric objects in an approach to quantum geometry. Zbl 1120.53055 Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 1 2007 String theory and deformation quantization. Zbl 1218.53094 Maeda, Yoshiaki; Kajiura, Hiroshige 1 2007 Structural topology optimization of vibrating structures with specified eigenfrequencies and eigenmode shapes. Zbl 1113.74055 Maeda, Y.; Nishiwaki, S.; Izui, K.; Yoshimura, M.; Matsui, K.; Terada, K. 24 2006 Universal deformation formulae for three-dimensional solvable Lie groups. Zbl 1072.53033 Bieliavsky, P.; Bonneau, P.; Maeda, Y. 11 2005 Star exponential functions as two-valued elements. Zbl 1076.53105 Maeda, Y.; Miyazaki, N.; Omori, H.; Yoshioka, A. 4 2005 Strange phenomena related to ordering problems in quantizations. Zbl 1046.53057 Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 4 2003 Deformation quantization and noncommutative differential geometry. Zbl 1246.53118 Maeda, Yoshiaki 1 2003 Convergent star product algebras on ‘\(ax+b\)’. Zbl 1036.53067 Bieliavsky, Pierre; Maeda, Yoshiaki 3 2002 Star exponential functions for quadratic forms and polar elements. Zbl 1047.53057 Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 2 2002 Smooth \(\star\)-algebras. Zbl 1026.46062 Dubois-Violette, Michel; Kriegl, Andreas; Maeda, Yoshiaki; Michor, Peter W. 10 2001 Convergent star products of Fréchet linear Poisson algebras of Heisenberg type. Zbl 1012.53068 Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 1 2001 Singular systems of exponential functions. Zbl 1049.53063 Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 1 2001 Deformation quantization of Fréchet-Poisson algebras: Convergence of the Moyal product. Zbl 0987.53036 Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 10 2000 Anomalous quadratic exponentials in the star-products. Zbl 0968.53508 Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 3 2000 Poincaré-Cartan class and deformation quantization of Kähler manifolds. Zbl 0926.53035 Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 3 1998 Noncommutative 3-sphere: a model of noncommutative contact algebras. Zbl 1024.53058 Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 1 1998 A Yang-Mills-Higgs gradient flow on \(\mathbb{R}^3\) blowing up at infinity. Zbl 0920.58020 Kozono, Hideo; Maeda, Yoshiaki; Naito, Hisashi 1 1998 Deformation quantizations of the Poisson algebra of Laurent polynomials. Zbl 0951.53058 Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira 1 1998 Evaluation of ambiguity in fuzzy algorithm represented with fuzzy Petri net. Zbl 1087.68674 Maeda, Y. 1 1998 Minimal orbits of metrics. Zbl 0895.57007 Maeda, Yoshiaki; Rosenberg, Steven; Tondeur, Philippe 3 1997 Noncommutative 3-sphere as an example of noncommutative contact algebras. Zbl 0890.17022 Omori, Hideki; Miyazaki, Naoya; Yoshioka, Akira; Maeda, Yoshiaki 1 1997 Global solution for the Yang-Mills gradient flow on \(4\)-manifolds. Zbl 0849.58018 Kozono, Hideo; Maeda, Yoshiaki; Naito, Hisashi 8 1995 Minimal submanifolds in infinite dimensions. Zbl 1003.53048 Maeda, Yoshiaki; Rosenberg, Steve; Tondeur, Philippe 1 1995 Deformation quantizations of Poisson algebras. Zbl 0820.58027 Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira 5 1994 A Poincaré-Birkhoff-Witt theorem for infinite dimensional Lie algebras. Zbl 0803.17007 Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira 1 1994 The mean curvature of gauge orbits. Zbl 0932.58003 Maeda, Yoshiaki; Rosenberg, Steven; Tondeur, Philippe 8 1993 Non-commutative complex projective space. Zbl 0801.58004 Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira 2 1993 A construction of a deformation quantization of a Poisson algebra. Zbl 1077.53515 Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira 1 1993 The uniqueness of star-products on \(\mathbb{P}_ n(\mathbb{C})\). Zbl 0785.53024 Omori, H.; Maeda, Y.; Yoshioka, A. 1 1993 Existence of a closed star product. Zbl 0771.58017 Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira 13 1992 Weyl manifolds and deformation quantization. Zbl 0734.58011 Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira 77 1991 Foundations of calculus on super Euclidean space \({\mathfrak R}^{m/n}\) based on a Fréchet-Grassmann algebra. Zbl 0737.58009 Inoue, Atsushi; Maeda, Yoshiaki 6 1991 Global calculus on Weyl manifolds. Zbl 0748.53021 Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira 1 1991 A stable manifold theorem for the Yang-Mills gradient flow. Zbl 0779.58013 Naito, Hisashi; Kozono, Hideo; Maeda, Yoshiaki 2 1990 Local smooth isometric embeddings of low dimensional Riemannian manifolds into Euclidean spaces. Zbl 0682.58046 Nakamura, Gen; Maeda, Yoshiaki 10 1989 On asymptotic stability for the Yang-Mills gradient flow. Zbl 0755.53021 Kozono, Hideo; Maeda, Yoshiaki 1 1989 Coordinates transformation and learning control for visually-guided voluntary movement with iteration: A Newton-like method in a function space. Zbl 0658.92023 Kawato, M.; Isobe, M.; Maeda, Y.; Suzuki, R. 1 1988 Super oscillatory integrals and a path-integral for a non-relativistic spinning particle. Zbl 0621.58034 Inoue, Atsushi; Maeda, Yoshiaki 3 1987 Local isometric embedding problem of Riemannian 3-manifold into \(R^ 6\). Zbl 0622.53015 Nakamura, Gen; Maeda, Yoshiaki 6 1986 On integral transformations associated with a certain Lagrangian - as a prototype of quantization. Zbl 0584.58019 Inoue, Atsushi; Maeda, Yoshiaki 10 1985 Theory of infinite dimensional Lie groups and its applications. Zbl 0527.58002 Kobayashi, Osamu; Yoshioka, Akira; Maeda, Yoshiaki; Omori, Hideki 8 1985 On regular Fréchet-Lie groups. VIII: Primordial operators and Fourier integral operators. Zbl 0582.58034 Maeda, Yoshiaki; Omori, Hideki; Kobayashi, Osamu; Yoshioka, Akira 5 1985 On regular Fréchet-Lie groups. VII: The group generated by pseudo- differential operators of negative order. Zbl 0565.58037 Yoshioka, Akira; Maeda, Yoshiaki; Omori, Hideki; Kobayashi, Osamu 4 1984 On regular Frechet-Lie groups. V: Several basic properties. Zbl 0526.58003 Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira; Kobayashi, Osamu 9 1983 On regular Fréchet-Lie groups. VI: Infinite dimensional Lie groups which appear in general relativity. Zbl 0537.58005 Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira; Kobayashi, Osamu 4 1983 On regular Frechet-Lie groups. IV: Definition and fundamental theorems. Zbl 0515.58004 Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira; Kobayashi, Osamu 16 1982 On integral transformations associated with a certain Riemannian metric. Zbl 0516.53045 Inoue, Atsushi; Maeda, Yoshiaki 3 1982 On regular Frechet-Lie groups. II: Composition rules of Fourier-integral operators on a Riemannian manifold. Zbl 0486.58002 Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira 4 1981 On regular Frechet-Lie groups. III: A second cohomology class related to the Lie algebra of pseudo-differential operators of order one. Zbl 0486.58003 Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira; Kobayashi, Osamu 4 1981 On regular Frechet-Lie groups. I: Some differential geometrical expressions of Fourier-integral operators on a Riemannian manifold. Zbl 0461.58003 Omori, Hideki; Maeda, Yoshiaki; Yoshioka, Akira 6 1980 On Lie algebras of vector fields. Zbl 0318.57023 Koriyama, Akira; Maeda, Yoshiaki; Omori, Hideki 4 1977 On Lie algebras of vector fields on expansive sets. Zbl 0392.57006 Koriyama, Akira; Maeda, Yoshiaki; Omori, Hideki 3 1977 On real hypersurfaces of a complex projective space. Zbl 0324.53039 Maeda, Yoshiaki 102 1976 On a characterization of quaternion projective space by differential equations. Zbl 0351.53032 Maeda, Yoshiaki 1 1976 Conformally flat hypersurfaces in a conformally flat Riemannian manifold. Zbl 0278.53018 Nishikawa, Seiki; Maeda, Yoshiaki 11 1974 all cited Publications top 5 cited Publications all top 5 Cited by 366 Authors 25 Pérez Jiménez, Juan de Dios 16 Maeda, Yoshiaki 15 Waldmann, Stefan 14 Kimura, Makoto 14 Sako, Akifumi 13 Maeda, Sadahiro 8 Panagiotidou, Konstantina 8 Yoshioka, Akira 7 Bieliavsky, Pierre 7 Panaite, Florin 7 Pérez-López, David 7 Wang, Yaning 6 Cho, Jong Taek 6 Gutt, Simone 6 Kaimakamis, George 6 Suh, Young Jin 5 Deshmukh, Sharief 5 Karasev, Mikhail Vladimirovich 5 Michor, Peter Wolfram 5 Neeb, Karl-Hermann 5 Omori, Hideki 5 Umetsu, Hiroshi 4 Djorić, Mirjana 4 Karabegov, Alexander V. 4 Ki, U-Hang 4 Koike, Naoyuki 4 Miyazaki, Naoya 4 Okumura, Kazuhiro 4 Rawnsley, John H. 4 Rosenberg, Steven 4 Slemrod, Marshall 4 van Oystaeyen, Freddy 3 Adachi, Toshiaki 3 Bursztyn, Henrique 3 Chen, Bang-Yen 3 Chen, Gui-Qiang G. 3 de Goursac, Axel Marcillaud 3 García-Compeán, Hugo 3 Hanusch, Maximilian 3 Inoue, Atsushi 3 Kozono, Hideo 3 La Fuente Gravy, Laurent 3 Naito, Hisashi 3 Neumaier, Nikolai 3 Okumura, Masafumi 3 Ortega, Miguel 3 Paycha, Sylvie 3 Pestov, Vladimir G. 3 Santos, Florentino G. 3 Schlichenmaier, Martin 3 Suzuki, Toshiya 3 Tanabe, Hiromasa 3 Tosiek, Jaromir 3 Wang, Dehua 2 Abbati, Maria Cristina 2 Alzaareer, Hamza 2 Böning, Rolf 2 Bordemann, Martin 2 Cahen, Michel 2 Cirelli, Renzo 2 del Olmo, Mariano A. 2 Dias, Nuno Costa 2 Fischer, Jens V. 2 Gadella, Manuel 2 Galaviz, Imelda 2 Ghosh, Amalendu 2 Grabowski, Janusz 2 Hamada, Tatsuyoshi 2 Han, Fei 2 Hara, Kentaro 2 Hirota, Yuji 2 Ichikawa, Fumio 2 Ivey, Thomas A. 2 Kallel-Jallouli, Saoussen 2 Kelleher, Casey Lynn 2 Kim, Youngho 2 Kon, Masahiro 2 Kuwabara, Ruishi 2 Larraín-Hubach, Andrés 2 Manià, Alessandro 2 Mathai, Varghese 2 Okuda, Taika 2 Pak, Jin Suk 2 Prata, João Nuno 2 Przanowski, Maciej 2 Schötz, Matthias 2 Solov’ev, Mikhaĭl Aleksandrovich 2 Sternheimer, Daniel 2 Takeuchi, Tsukasa 2 Turrubiates, Francisco J. 2 Waldron, Alex 2 Weber, Thomas 2 Weinstein, Alan David 2 Wu, Bo 2 Yang, Hyun Seok 2 Yano, Kentaro 2 Yoshimi, Naoko 2 Zhu, RongChan 2 Zhu, Xiang-Chan 1 Abe, Kōjun ...and 266 more Authors all top 5 Cited in 128 Serials 25 Journal of Geometry and Physics 19 Journal of Mathematical Physics 18 Letters in Mathematical Physics 14 Differential Geometry and its Applications 10 Communications in Mathematical Physics 9 Journal of Functional Analysis 8 Advances in Mathematics 8 Journal of Geometry 7 Proceedings of the American Mathematical Society 7 Tôhoku Mathematical Journal. 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Série VI 1 Applied Categorical Structures 1 Algebra Colloquium 1 Journal of Mathematical Sciences (New York) 1 Annales Mathématiques Blaise Pascal ...and 28 more Serials all top 5 Cited in 40 Fields 244 Differential geometry (53-XX) 76 Quantum theory (81-XX) 70 Global analysis, analysis on manifolds (58-XX) 34 Functional analysis (46-XX) 33 Topological groups, Lie groups (22-XX) 31 Several complex variables and analytic spaces (32-XX) 22 Nonassociative rings and algebras (17-XX) 19 Manifolds and cell complexes (57-XX) 17 Associative rings and algebras (16-XX) 16 Partial differential equations (35-XX) 10 Algebraic geometry (14-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Probability theory and stochastic processes (60-XX) 8 Relativity and gravitational theory (83-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Category theory; homological algebra (18-XX) 6 Operator theory (47-XX) 5 Algebraic topology (55-XX) 4 Functions of a complex variable (30-XX) 4 Mechanics of particles and systems (70-XX) 3 \(K\)-theory (19-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Abstract harmonic analysis (43-XX) 3 Numerical analysis (65-XX) 2 Number theory (11-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Integral transforms, operational calculus (44-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year