Edit Profile (opens in new tab) Boucetta, Mohamed Compute Distance To: Compute Author ID: boucetta.mohamed Published as: Boucetta, Mohamed; Boucetta, M. Documents Indexed: 51 Publications since 1989, including 3 Books 1 Contribution as Editor Co-Authors: 28 Co-Authors with 33 Joint Publications 160 Co-Co-Authors all top 5 Co-Authors 19 single-authored 4 Abouqateb, Abdelhak 4 Benayadi, Saïd 3 Lebzioui, Hicham 2 Abchir, Hamid 2 Bahayou, Amine 2 Bourzik, Charif 2 Essoufi, Hasna 2 Medina, Alberto P. 2 Morvan, Jean-Marie 2 Saassai, Zouhair 2 Tibssirte, Oumaima 1 Aberaouze, Ilyes 1 Abid, Fatima-Ezzahrae 1 Ait Brik, Ilham 1 Albuquerque, Helena 1 Alioune, Brahim 1 Barreiro, Elisabete 1 Ben Haddou, Malika Ait 1 Benroummane, Abderrazzak 1 Boubekeur, Sihem 1 Djiadeu Ngaha, M. B. 1 Ikemakhen, Aziz 1 Mansouri, Mohammed Wadia 1 Molino, Pierre 1 Morvan, Rémi 1 Nabil, Mehdi 1 Ouakkas, Seddik 1 Sánchez Delgado, José María 1 Sid’Ahmed Lessiad, Ahmed all top 5 Serials 8 Journal of Geometry and Physics 5 Differential Geometry and its Applications 5 Journal of Lie Theory 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Communications in Algebra 3 Journal of Algebra 3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Letters in Mathematical Physics 1 Annales des Sciences Mathématiques du Québec 1 Archivum Mathematicum 1 Journal of Pure and Applied Algebra 1 Mathematische Nachrichten 1 Osaka Journal of Mathematics 1 Results in Mathematics 1 Extracta Mathematicae 1 Publicacions Matemàtiques 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Journal of the Egyptian Mathematical Society 1 The Journal of Symplectic Geometry 1 Mediterranean Journal of Mathematics 1 Complex Manifolds 1 Références Sciences all top 5 Fields 43 Differential geometry (53-XX) 15 Nonassociative rings and algebras (17-XX) 10 Topological groups, Lie groups (22-XX) 9 Global analysis, analysis on manifolds (58-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Manifolds and cell complexes (57-XX) 3 General and overarching topics; collections (00-XX) 3 Functional analysis (46-XX) 2 Real functions (26-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Measure and integration (28-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 158 times in 112 Documents Cited by ▼ Year ▼ Riemannian geometry of Lie algebroids. Zbl 1267.53085Boucetta, Mohamed 18 2011 Compatibility between pseudo-Riemannian structures and Poisson structures. (Compatibilité des structures pseudo-Riemanniennes et des structures de Poisson.) Zbl 1009.53057Boucetta, Mohamed 16 2001 Poisson manifolds with compatible pseudo-metric and pseudo-Riemannian Lie algebras. Zbl 1061.53058Boucetta, M. 13 2004 On para-Kähler and hyper-para-Kähler Lie algebras. Zbl 1440.17002Benayadi, Saïd; Boucetta, Mohamed 13 2015 Solutions of the Yang-Baxter equations on quadratic Lie groups: the case of oscillator groups. Zbl 1226.53070Boucetta, Mohamed; Medina, Alberto 11 2011 Special bi-invariant linear connections on Lie groups and finite dimensional Poisson structures. Zbl 1393.17037Benayadi, Saïd; Boucetta, Mohamed 11 2014 Left-invariant Lorentzian flat metrics on Lie groups. Zbl 1243.53110Ben Haddou, Malika Ait; Boucetta, Mohamed; Lebzioui, Hicham 8 2012 On flat pseudo-Euclidean nilpotent Lie algebras. Zbl 1461.17020Boucetta, Mohamed; Lebzioui, Hicham 6 2019 Spectrum of the Lichnerowicz Laplacians on the spheres and the real projective spaces. (Spectre des Laplacien de Lichnerowicz sur les sphères et les projectifs réels.) Zbl 0964.58024Boucetta, Mohamed 5 1999 Spectra and symmetric eigentensors of the Lichnerowicz Laplacian on \(S^{n}\). Zbl 1170.53010Boucetta, Mohamed 5 2009 Géometrie globale des systèmes hamiltoniens complètement intégrables: Fibrations lagrangiennes singulières et coordonnées action-angle à singularités. (Global geometry of completely integrable Hamiltonian systems: Lagrangian singular fibrations and action-angle variables with singularities). Zbl 0702.58032Boucetta, Mohamed; Molino, Pierre 5 1989 The modular class of a regular Poisson manifold and the Reeb class of its symplectic foliation. Zbl 1030.53079Abouqateb, Abdelhak; Boucetta, Mohamed 5 2003 Flat nonunimodular Lorentzian Lie algebras. Zbl 1405.17044Boucetta, Mohamed; Lebzioui, Hicham 4 2016 On para-Kähler Lie algebroids and contravariant pseudo-Hessian structures. Zbl 07094304Benayadi, Saïd; Boucetta, Mohamed 4 2019 The spectrum of the Lichnerowicz Laplacian on \(\mathbb{C} P^n\). (Spectre du Laplacien de Lichnerowicz sur les projectifs complexes.) Zbl 1016.58001Boucetta, Mohamed 4 2001 On Einstein Lorentzian nilpotent Lie groups. Zbl 1458.22003Boucetta, Mohamed; Tibssirte, Oumaima 4 2020 On the Riemann-Lie algebras and Riemann-Poisson Lie groups. Zbl 1077.53065Boucetta, Mohamed 3 2005 Metacurvature of Riemannian Poisson-Lie groups. Zbl 1186.58006Bahayou, Amine; Boucetta, Mohamed 3 2009 Riemann-Poisson manifolds and Kähler-Riemann foliations. Zbl 1042.53014Boucetta, Mohamed 3 2003 Solutions of the classical Yang-Baxter equation and noncommutative deformations. Zbl 1139.58002Boucetta, Mohamed 3 2008 The Lichnerowicz Laplacian on compact symmetric spaces. Zbl 1203.58011Boucetta, Mohamed 2 2009 Polynomial Poisson structures on affine solvmanifolds. Zbl 1228.53066Medina, Alberto; Boucetta, Mohamed 2 2011 Spectra and symmetric eigentensors of the Lichnerowicz Laplacian on \(\mathbb P^n(\mathbb C)\). Zbl 1193.53043Boucetta, Mohamed 2 2010 Poisson algebras and symmetric Leibniz bialgebra structures on oscillator Lie algebras. Zbl 07299613Albuquerque, H.; Barreiro, E.; Benayadi, S.; Boucetta, M.; Sánchez, J. M. 2 2021 The geometry of generalized Cheeger-Gromoll metrics on the total space of transitive Euclidean Lie algebroids. Zbl 1422.53023Boucetta, Mohamed; Essoufi, Hasna 1 2019 The signature of the Ricci curvature of left-invariant Riemannian metrics on nilpotent Lie groups. Zbl 1339.53051Djiadeu Ngaha, M. B.; Boucetta, M.; Wouafo Kamga, J. 1 2016 Left invariant generalized complex and Kähler structures on simply connected four dimensional Lie groups: classification and invariant cohomologies. Zbl 1469.53128Boucetta, Mohamed; Wadia Mansouri, Mohammed 1 2021 A class of Poisson structures compatible with the canonical Poisson structure on the cotangent bundle. (Une classe de structures de Poisson compatibles avec la structure de Poisson canonique sur le fibré cotangent.) Zbl 1213.53099Boucetta, Mohamed; Saassai, Zouhair 1 2011 Harmonic and biharmonic homomorphisms between Riemannian Lie groups. Zbl 1371.53048Boucetta, Mohamed; Ouakkas, Seddik 1 2017 Contravariant pseudo-Hessian manifolds and their associated Poisson structures. Zbl 1439.53019Abouqateb, Abdelhak; Boucetta, Mohamed; Bourzik, Charif 1 2020 Poisson algebras and symmetric Leibniz bialgebra structures on oscillator Lie algebras. Zbl 07299613Albuquerque, H.; Barreiro, E.; Benayadi, S.; Boucetta, M.; Sánchez, J. M. 2 2021 Left invariant generalized complex and Kähler structures on simply connected four dimensional Lie groups: classification and invariant cohomologies. Zbl 1469.53128Boucetta, Mohamed; Wadia Mansouri, Mohammed 1 2021 On Einstein Lorentzian nilpotent Lie groups. Zbl 1458.22003Boucetta, Mohamed; Tibssirte, Oumaima 4 2020 Contravariant pseudo-Hessian manifolds and their associated Poisson structures. Zbl 1439.53019Abouqateb, Abdelhak; Boucetta, Mohamed; Bourzik, Charif 1 2020 On flat pseudo-Euclidean nilpotent Lie algebras. Zbl 1461.17020Boucetta, Mohamed; Lebzioui, Hicham 6 2019 On para-Kähler Lie algebroids and contravariant pseudo-Hessian structures. Zbl 07094304Benayadi, Saïd; Boucetta, Mohamed 4 2019 The geometry of generalized Cheeger-Gromoll metrics on the total space of transitive Euclidean Lie algebroids. Zbl 1422.53023Boucetta, Mohamed; Essoufi, Hasna 1 2019 Harmonic and biharmonic homomorphisms between Riemannian Lie groups. Zbl 1371.53048Boucetta, Mohamed; Ouakkas, Seddik 1 2017 Flat nonunimodular Lorentzian Lie algebras. Zbl 1405.17044Boucetta, Mohamed; Lebzioui, Hicham 4 2016 The signature of the Ricci curvature of left-invariant Riemannian metrics on nilpotent Lie groups. Zbl 1339.53051Djiadeu Ngaha, M. B.; Boucetta, M.; Wouafo Kamga, J. 1 2016 On para-Kähler and hyper-para-Kähler Lie algebras. Zbl 1440.17002Benayadi, Saïd; Boucetta, Mohamed 13 2015 Special bi-invariant linear connections on Lie groups and finite dimensional Poisson structures. Zbl 1393.17037Benayadi, Saïd; Boucetta, Mohamed 11 2014 Left-invariant Lorentzian flat metrics on Lie groups. Zbl 1243.53110Ben Haddou, Malika Ait; Boucetta, Mohamed; Lebzioui, Hicham 8 2012 Riemannian geometry of Lie algebroids. Zbl 1267.53085Boucetta, Mohamed 18 2011 Solutions of the Yang-Baxter equations on quadratic Lie groups: the case of oscillator groups. Zbl 1226.53070Boucetta, Mohamed; Medina, Alberto 11 2011 Polynomial Poisson structures on affine solvmanifolds. Zbl 1228.53066Medina, Alberto; Boucetta, Mohamed 2 2011 A class of Poisson structures compatible with the canonical Poisson structure on the cotangent bundle. (Une classe de structures de Poisson compatibles avec la structure de Poisson canonique sur le fibré cotangent.) Zbl 1213.53099Boucetta, Mohamed; Saassai, Zouhair 1 2011 Spectra and symmetric eigentensors of the Lichnerowicz Laplacian on \(\mathbb P^n(\mathbb C)\). Zbl 1193.53043Boucetta, Mohamed 2 2010 Spectra and symmetric eigentensors of the Lichnerowicz Laplacian on \(S^{n}\). Zbl 1170.53010Boucetta, Mohamed 5 2009 Metacurvature of Riemannian Poisson-Lie groups. Zbl 1186.58006Bahayou, Amine; Boucetta, Mohamed 3 2009 The Lichnerowicz Laplacian on compact symmetric spaces. Zbl 1203.58011Boucetta, Mohamed 2 2009 Solutions of the classical Yang-Baxter equation and noncommutative deformations. Zbl 1139.58002Boucetta, Mohamed 3 2008 On the Riemann-Lie algebras and Riemann-Poisson Lie groups. Zbl 1077.53065Boucetta, Mohamed 3 2005 Poisson manifolds with compatible pseudo-metric and pseudo-Riemannian Lie algebras. Zbl 1061.53058Boucetta, M. 13 2004 The modular class of a regular Poisson manifold and the Reeb class of its symplectic foliation. Zbl 1030.53079Abouqateb, Abdelhak; Boucetta, Mohamed 5 2003 Riemann-Poisson manifolds and Kähler-Riemann foliations. Zbl 1042.53014Boucetta, Mohamed 3 2003 Compatibility between pseudo-Riemannian structures and Poisson structures. (Compatibilité des structures pseudo-Riemanniennes et des structures de Poisson.) Zbl 1009.53057Boucetta, Mohamed 16 2001 The spectrum of the Lichnerowicz Laplacian on \(\mathbb{C} P^n\). (Spectre du Laplacien de Lichnerowicz sur les projectifs complexes.) Zbl 1016.58001Boucetta, Mohamed 4 2001 Spectrum of the Lichnerowicz Laplacians on the spheres and the real projective spaces. (Spectre des Laplacien de Lichnerowicz sur les sphères et les projectifs réels.) Zbl 0964.58024Boucetta, Mohamed 5 1999 Géometrie globale des systèmes hamiltoniens complètement intégrables: Fibrations lagrangiennes singulières et coordonnées action-angle à singularités. (Global geometry of completely integrable Hamiltonian systems: Lagrangian singular fibrations and action-angle variables with singularities). Zbl 0702.58032Boucetta, Mohamed; Molino, Pierre 5 1989 all cited Publications top 5 cited Publications all top 5 Cited by 149 Authors 20 Boucetta, Mohamed 10 Benayadi, Saïd 4 Lebzioui, Hicham 3 Biggs, Rory 3 Boroojerdian, Naser 3 Liu, Jiefeng 3 Mhamdi, Fahmi 3 Muraki, Hisayoshi 3 Peyghan, Esmaeil 3 Sheng, Yunhe 3 Watamura, Satoshi 2 Abouqateb, Abdelhak 2 Aloui, Foued 2 Amrane, Yacine Aït 2 Bai, Chengming 2 Bajo, Ignacio 2 Barreiro, Elisabete 2 Bourzik, Charif 2 Calvaruso, Giovanni 2 Chen, Liangyun 2 Deser, Andreas 2 Elyasi, Naiereh 2 Essoufi, Hasna 2 Evangelista-Alvarado, Miguel Ángel 2 Ida, Cristian 2 Kaĭgorodov, Ivan B. 2 Kaneko, Yukio 2 Mikeš, Josef 2 Remsing, Claudiu-Cristian 2 Ruíz-Pantaleón, José Crispín 2 Saassai, Zouhair 2 Sanmartín, Esperanza 2 Stepanov, Sergeĭ Evgen’evich 2 Suárez-Serrato, Pablo 2 Symington, Margaret 2 Tibssirte, Oumaima 2 Yan, Zaili 2 Zaalani, Nadhem 2 Zeglaoui, Ahmed 1 Abchir, Hamid 1 Affane, Atallah 1 Ait Brik, Ilham 1 Al-Shujary, Ahmed 1 Albuquerque, Helena 1 Alvarez, María Alejandra 1 Andriot, David 1 Arnlind, Joakim 1 Asakawa, Tsuguhiko 1 Bagheri, Zahra 1 Bahayou, Amine 1 Barucchieri, Bianca 1 Batat, Wafaa 1 Beitz, Stine Franziska 1 Bejan, Cornelia-Livia 1 Ben Haddou, Malika Ait 1 Bieliavsky, Pierre 1 Blumenhagen, Ralph 1 Bonifacio, James 1 Boroojerdian, Nasser 1 Boubekeur, Sihem 1 Boulmane, Said 1 Bouzour, Omar 1 Brouzet, Robert 1 Bruce, Andrew James 1 Burde, Dietrich 1 Buttsworth, Timothy 1 Chen, Zhiqi 1 Crâşmăreanu, Mircea 1 Del Barco, Viviana J. 1 Delay, Erwann 1 Deng, Shaoqiang 1 Dereli, Tekin 1 Doğan, Keremcan 1 Druţă-Romaniuc, Simona-Luiza 1 Ender, Christof 1 Esposito, Chiara 1 Falcone, Giovanni 1 Ferreira, Bruno Leonardo Macedo 1 Fino, Anna 1 Fukuda, Masayuki 1 Martínez Gadea, Pedro 1 Guo, Zhitao 1 Hallgren, Maximilien 1 Hamilton, Mark J. D. 1 Hidri, Samiha 1 Hinterbichler, Kurt 1 Hohloch, Sonja 1 Hou, Ying 1 Izosimov, Anton 1 Khesin, Boris A. 1 Kobayashi, Nozomu 1 Kumar, Pankaj 1 Liu, Linlin 1 Liu, Meijun 1 Lopatkin, Viktor 1 Lyakhovich, Simon L. 1 Mansouri, Mohammed Wadia 1 Martínez Torres, David 1 Medina, Alberto P. 1 Miranda, Eva ...and 49 more Authors all top 5 Cited in 58 Serials 13 Journal of Geometry and Physics 7 Differential Geometry and its Applications 6 Journal of Algebra 5 Communications in Algebra 4 International Journal of Theoretical Physics 4 Journal of High Energy Physics 3 Classical and Quantum Gravity 3 Letters in Mathematical Physics 3 Fortschritte der Physik 3 Annals of Global Analysis and Geometry 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Mediterranean Journal of Mathematics 2 Journal of Mathematical Physics 2 Advances in Mathematics 2 Glasgow Mathematical Journal 2 Osaka Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Results in Mathematics 2 Journal of Lie Theory 2 Journal of Algebra and its Applications 2 Journal of Geometric Mechanics 1 International Journal of Modern Physics A 1 Reports on Mathematical Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Collectanea Mathematica 1 Colloquium Mathematicum 1 Compositio Mathematica 1 Fuzzy Sets and Systems 1 Journal of Functional Analysis 1 Journal of Pure and Applied Algebra 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 The Journal of Geometric Analysis 1 Linear Algebra and its Applications 1 Indagationes Mathematicae. New Series 1 Journal of the Egyptian Mathematical Society 1 Advances in Applied Clifford Algebras 1 Buletinul Academiei de Științe a Republicii Moldova. Matematica 1 Transformation Groups 1 Algebras and Representation Theory 1 Regular and Chaotic Dynamics 1 Communications in Contemporary Mathematics 1 Gravitation & Cosmology 1 Algebraic & Geometric Topology 1 Iranian Journal of Science and Technology. Transaction A: Science 1 International Journal of Geometric Methods in Modern Physics 1 Journal of Geometry and Symmetry in Physics 1 Oberwolfach Reports 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Topology and Analysis 1 Advances in Pure and Applied Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Iranian Journal of Mathematical Sciences and Informatics 1 Journal of Computational Dynamics 1 Complex Manifolds 1 Information Geometry all top 5 Cited in 24 Fields 80 Differential geometry (53-XX) 38 Nonassociative rings and algebras (17-XX) 16 Topological groups, Lie groups (22-XX) 15 Relativity and gravitational theory (83-XX) 10 Global analysis, analysis on manifolds (58-XX) 10 Quantum theory (81-XX) 7 Manifolds and cell complexes (57-XX) 7 Mechanics of particles and systems (70-XX) 4 Partial differential equations (35-XX) 3 Algebraic geometry (14-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Associative rings and algebras (16-XX) 2 Several complex variables and analytic spaces (32-XX) 2 General topology (54-XX) 1 General and overarching topics; collections (00-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Citations by Year