Edit Profile (opens in new tab) Mladenov, Ivaĭlo M. Co-Author Distance Author ID: mladenov.ivailo-m Published as: Mladenov, Ivaïlo M.; Mladenov, I. M.; Mladenov, Ivaïlo; Mladenov, Ivailo M.; Mladenov, Ivailo; Mladenov, I. more...less Homepage: http://geometry.imbm.bas.bg/im/Mladenov.html External Links: ORCID · ResearchGate · Math-Net.Ru · dblp Documents Indexed: 124 Publications since 1985, including 1 Book 29 Contributions as Editor Reviewing Activity: 139 Reviews Co-Authors: 44 Co-Authors with 128 Joint Publications 564 Co-Co-Authors all top 5 Co-Authors 25 single-authored 34 Hadzhilazova, Mariana Ts. 26 Vassilev, Vassil M. 24 Mladenova, Clementina D. 19 Djondjorov, Peter A. 16 Pulov, Vladimir I. 13 Yoshioka, Akira 9 Brezov, Danail S. 7 Oprea, John F. 7 Tsanov, Vasil Valdemarov 5 Donchev, Veliko D. 4 Kovalchuk, Vasyl 4 Ludu, Andrei 4 Naber, Gregory L. 3 Angelov, Borislav 3 İlarslan, Kazim 3 Marinov, Petko I. 3 Uçum, Ali 3 Vilasi, Gaetano 2 Ali, Syed Twareque 2 Antoine, Jean-Pierre 2 de León Rodríguez, Manuel 2 Hirshfeld, Allen C. 2 Lisiecki, Wojciech 2 Meng, Guowu 2 Nikolov, Blagovest A. 2 Rashkova, Tsetska Grigorova 2 Trifonov, Dimitar A. 1 Chacarov, Edy J. 1 Dimitrov, Georgi K. 1 Djondjorov, Petar A. 1 Ganghoffer, Jean-François 1 Gerdzhikov, Vladimir Stefanov 1 Gołubowska, Barbara 1 Kostadinov, Kostadin G. 1 Matsushita, Yasuo 1 Odijewicz, A. 1 Odzijewicz, Anatol 1 Rajchev, P. P. 1 Roussev, R. P. 1 Sekigawa, Kouei 1 Shulev, Assen A. 1 Stoilov, Georgi I. 1 Valchev, Tihomir I. 1 Vassllev, V. M. all top 5 Serials 25 Geometry, Integrability and Quantization 21 Journal of Geometry and Symmetry in Physics 14 Doklady Bolgarskoĭ Akademii Nauk 4 Journal of Physics A: Mathematical and General 2 Mathematical Methods in the Applied Sciences 2 Surveys in Mathematics and its Applications 1 American Mathematical Monthly 1 Computers & Mathematics with Applications 1 International Journal of Theoretical Physics 1 Physics Letters. A 1 Reports on Mathematical Physics 1 Journal of Geometry and Physics 1 Bulgarian Journal of Physics 1 Archivum Mathematicum 1 Mathematics and Computers in Simulation 1 Godishnik na Sofiĭskiya Universitet “Sv. Kliment Okhridski”. Fakultet po Matematika i Informatika 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică 1 Journal of Nonlinear Mathematical Physics 1 Lecture Notes in Applied and Computational Mechanics 1 AIP Conference Proceedings 1 Journal of Physics A: Mathematical and Theoretical 1 Communications in Theoretical Physics 1 Advances in Mathematical Physics 1 Open Mathematics 1 Forum for Interdisciplinary Mathematics all top 5 Fields 105 Differential geometry (53-XX) 42 Quantum theory (81-XX) 29 General and overarching topics; collections (00-XX) 23 Mechanics of deformable solids (74-XX) 18 Dynamical systems and ergodic theory (37-XX) 17 Topological groups, Lie groups (22-XX) 17 Mechanics of particles and systems (70-XX) 16 Special functions (33-XX) 14 Geometry (51-XX) 13 Partial differential equations (35-XX) 10 Fluid mechanics (76-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 7 Nonassociative rings and algebras (17-XX) 6 Ordinary differential equations (34-XX) 6 Biology and other natural sciences (92-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Algebraic geometry (14-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Real functions (26-XX) 4 Relativity and gravitational theory (83-XX) 2 Optics, electromagnetic theory (78-XX) 1 Number theory (11-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 66 Publications have been cited 226 times in 123 Documents Cited by ▼ Year ▼ The many faces of elastica. Zbl 1398.53008Mladenov, Ivaïlo M.; Hadzhilazova, Mariana 18 2017 Cylindrical equilibrium shapes of fluid membranes. Zbl 1149.76062Vassilev, V. M.; Djondjorov, P. A.; Mladenov, I. M. 14 2008 Geometric quantisation of the MIC-Kepler problem. Zbl 0658.58051Mladenov, Ivailo M.; Tsanov, Vassil V. 13 1987 The Mylar balloon revisited. Zbl 1044.33008Mladenov, Ivaïlo M.; Oprea, John 12 2003 The Mylar balloon: new viewpoints and generalizations. Zbl 1123.53006Mladenov, Ivaïlo M.; Oprea, John 10 2007 Elastic Sturmian spirals. Zbl 1313.53004Marinov, Petko; Hadzhilazova, Mariana; Mladenov, Ivailo 9 2014 Geometric quantization of the multidimensional Kepler problem. Zbl 0587.58022Mladenov, I.; Tsanov, V. 9 1985 Unduloids and their geometry. Zbl 1199.53008Hadzhilazova, Mariana; Mladenov, Ivaïlo M.; Oprea, John 9 2007 On the geometry of red blood cell. Zbl 0970.92009Angelov, Borislav; Mladenov, Ivaïlo M. 8 2000 On some deformations of the Cassinian oval. Zbl 1237.53004Mladenov, Ivaïlo M.; Hadzhilazova, Mariana Ts.; Djondjorov, Peter A.; Vassilev, Vassil M. 6 2011 Explicit parameterization of Euler’s elastica. Zbl 1196.53004Djondjorov, Peter A.; Hadzhilazova, Mariana Ts.; Mladenov, Ivaïlo M.; Vassilev, Vassil M. 6 2008 A decoupled solution to the generalized Euler decomposition problem in \(\mathbb R^3\) and \(\mathbb R^{2, 1}\). Zbl 1305.70013Brezov, Danail; Mladenova, Clementina; Mladenov, Ivaïlo 5 2014 On the generalized Sturmian spirals. Zbl 1290.53004Mladenov, Ivailo; Hdzhilazova, Mariana; Djondjorov, Peter; Vassilev, Vassil 5 2011 Vector parameters in classical hyperbolic geometry. Zbl 1369.51004Brezov, Danail S.; Mladenova, Clementina D.; Mladenov, Ivaïlo M. 4 2013 New geometrical applications of the elliptic integrals: the Mylar balloon. Zbl 1362.33026Mladenov, Ivaïlo M. 4 2004 Analytical descriptions of Perseus spirics. Zbl 1508.53011Mladenov, Ivaïlo M. 4 2022 On the plane curves whose curvature depends on the distance from the origin. Zbl 1260.53012Mladenov, I. M.; Hadzhilazova, M. Ts.; Djondjorov, P. A.; Vassllev, V. M. 3 2010 Vector decomposition of finite rotations. Zbl 1241.70012Mladenova, Clementina D.; Mladenov, Ivaïlo M. 3 2011 From the kinematics of precession motion to generalized Rabi cycles. Zbl 1440.70002Brezov, Danail S.; Mladenova, Clementina D.; Mladenov, Ivaïlo M. 3 2018 New parameterizations of the Cassinian ovals. Zbl 1382.51016Hadzhilazova, Mariana Ts.; Mladenov, Ivaïlo M.; Djondjorov, Peter A.; Vassilev, Vassil M. 3 2011 On a class of linear Weingarten surfaces. Zbl 1388.53002Pulov, Vladimir I.; Hadzhilazova, Mariana TS.; Mladenov, Ivaïlo M. 3 2018 Equilibrium configurations of lipid bilayer membranes and carbon nanostructures. Zbl 1264.92062Mladenov, Ivaïlo M.; Djondjorov, Peter A.; Hadzhilazova, Mariana Ts.; Vassilev, Vassil M. 3 2013 Sturmian spirals in Lorentz-Minkowski plane. Zbl 1320.53018İlarslan, Kazim; Uçum, Ali; Mladenov, Ivaïlo M. 3 2015 Reduction in stages and complete quantization of the MIC-Kepler problem. Zbl 0945.53051Mladenov, Ivaïlo M.; Tsanov, Vasil V. 3 1999 Plane curves associated with integrable dynamical systems of the Frenet-Serret type. Zbl 1187.34004Djondjorov, P. A.; Vassilev, V. M.; Mladenov, I. M. 3 2009 Integrable dynamical systems of the Frenet-Serret type. Zbl 1183.37103Vassilev, V. M.; Djondjorov, P. A.; Mladenov, I. M. 3 2009 The spiric sections of Perseus and the uniform parameterizations of the Cassinian ovals. Zbl 1471.53004Mladenov, Ivaïlo M. 3 2020 Uniformization of the Cassinian oval. Zbl 0960.53003Mladenov, I. M. 3 2000 Explicit description of some classes of non-bending surfaces. Zbl 1427.74114Pulov, Vladimir I.; Mladenov, Ivaïlo M. 3 2019 Deformations without bending: explicit examples. Zbl 1414.74020Pulov, Vladimir I.; Hadzhilazova, Mariana Ts.; Mladenov, Ivaïlo M. 3 2019 Elastic Sturmian spirals in the Lorentz-Minkowski plane. Zbl 1356.53020Uçum, Ali; İlarslan, Kazım; Mladenov, Ivaïlo M. 2 2016 Analytic description of the equilibrium shapes of elastic rings under uniform hydrostatic pressure. Zbl 1252.74033Djondjorov, Peter A.; Vassilev, Vassil. M.; Mladenov, Ivaïlo M. 2 2011 On some deformations of the mylar balloon. Zbl 1243.49050Mladenov, Ivaïlo M.; Oprea, John 2 2007 Geometric quantization of a restricted symplectic model of collective nuclear motion. Zbl 0596.58022Mladenov, I. M.; Rajchev, P. P.; Roussev, R. P. 2 1986 Conformal immersions of Delaunay surfaces and their duals. Zbl 1081.53006Mladenov, Ivaïlo M. 2 2004 Similarity and symmetry methods. Applications in elasticity and mechanics of materials. Lecture notes given at the EUROMECH workshop ‘Similarity, symmetry and group theoretical methods in mechanics, Varna, Bulgaria, June 6–9, 2013. Zbl 1297.74006 2 2014 Deformations of minimal surfaces. Zbl 1040.53004Mladenov, Ivaïlo M.; Angelov, Borislav 2 2000 Unduloids and their closed geodesics. Zbl 1051.53005Mladenov, Ivaïlo; Oprea, John 2 2003 Geometry of the ovoids: avian eggs and similar asymmetric forms. Zbl 1518.51018Mladenova, Clementina D.; Mladenov, Ivaïlo M. 2 2023 The rectifications of the Cassinian ovals: third round. Zbl 1458.53009Mladenov, Ivaïlo M. 2 2020 Variations on the theme Euler angles. Zbl 1465.70006Mladenova, C. D.; Mladenov, I. M. 2 2019 Further deformations of the axially-symmetric non-bending surfaces. Zbl 1443.74231Pulov, Vladimir I.; Mladenov, Ivaïlo M. 2 2020 Geometric quantization of the five-dimensional Kepler problem. Zbl 0744.58027Mladenov, Ivailo M. 1 1991 On the geometry of the mylar balloon. Zbl 0986.53002Mladenov, I. M. 1 2001 A remark on geometric quantization. Zbl 0626.58020Mladenov, I. M.; Tsanov, V. V. 1 1986 Saxon-Hutner theorem for periodic multilayers. Zbl 0646.34053Mladenov, I. M. 1 1987 Quantization, coherent states, and complex structures. Papers from the 13th Białowieza summer workshop on Geometric methods in physics held, in Bialowieza, Poland, July 9–15, 1994. Zbl 0955.00060 1 1995 Cell membranes under hydrostatic pressure subjected to micro-injection. Zbl 1275.74015Vassilev, Vassil M.; Kostadinov, Kostadin G.; Mladenov, Ivaïlo M.; Shulev, Assen A.; Stoilov, Georgi I.; Djondjorov, Peter A. 1 2011 Analytical representations of Willmore and generalized Willmore surfaces. Zbl 1392.53016Vassilev, Vassil M.; Djondjorov, Peter A.; Hadzhilazova, Mariana Ts.; Mladenov, Ivailo M. 1 2018 Analytic description of the viscous fingering interface in a rotating Hele-Shaw cell. Zbl 1382.76066Djondjorov, Peter A.; Vassilev, Vassil M.; Hadzhilazova, Mariana Ts.; Mladenov, Ivaïlo M. 1 2012 Beyond Delaunay surfaces. Zbl 1203.53007Djondjorov, Peter A.; Hadzhilazova, Mariana Ts.; Mladenov, Ivaïlo M.; Vassilev, Vassil M. 1 2010 Geometric symmetry groups, conservation laws and group-invariant solutions of the Willmore equation. Zbl 1073.53008Vassilev, Vassil M.; Mladenov, Ivaïlo M. 1 2004 On the decomposition of the infinitesimal (pseudo-)rotations. Zbl 1324.17027Brezov, Danail S.; Mladenova, Clementina D.; Mladenov, Ivaïlo M. 1 2014 Geometry of the Saxon-Hutner theorem. Zbl 1052.81515Mladenov, Ivaïlo M. 1 1997 A new formula for the exponents of the generators of the Lorentz group. Zbl 1098.22008Dimitrov, Georgi K.; Mladenov, Ivaïlo M. 1 2006 An algebraic approach to Saxon-Hutner theorem. Zbl 1192.81133Rashkova, Tsetska G.; Mladenov, Ivaïlo M. 1 2008 Once more the mylar balloon. Zbl 1199.53009Hadzhilazova, Mariana; Mladenov, Ivailo 1 2008 Balloons, domes and geometry. Zbl 1184.53007Mladenov, Ivaïlo M.; Oprea, John 1 2009 Proceedings of the 22nd international conference on geometry, integrability and quantization, Varna, Bulgaria, June 8–13, 2020. Zbl 1468.53002 1 2021 Explicit parameterizations of non-bending torus-like surfaces. Zbl 1472.74146Pulov, Vladimir I.; Mladenov, Ivaïlo M. 1 2020 Cayley map for symplectic groups. Zbl 1484.22016Mladenova, Clementina D.; Mladenov, Ivaïlo M. 1 2021 New and old parameterizations of the Cassinian ovals and some applications of them. Zbl 07690561Mladenov, Ivaïlo M. 1 2022 Generalization of Goursat transformation of the minimal surfaces. Zbl 0947.53005Mladenov, I. 1 1999 Geometry of the ovoids: reptilian eggs and similar symmetric forms. Zbl 07725732Mladenova, Clementina D.; Mladenov, Ivaïlo M. 1 2023 On the translationally-invariant solutions of the membrane shape equation. Zbl 1125.53008Vassilev, Vassil M.; Djondjorov, Peter A.; Mladenov, Ivaïlo M. 1 2007 Mechanics of infinitesimal test bodies on Delaunay surfaces: spheres and cylinders as limits of unduloids and their action-angle analysis. Zbl 1434.53009Kovalchuk, Vasyl; Gołubowska, Barbara; Mladenov, Ivaïlo 1 2019 Geometry of the ovoids: avian eggs and similar asymmetric forms. Zbl 1518.51018Mladenova, Clementina D.; Mladenov, Ivaïlo M. 2 2023 Geometry of the ovoids: reptilian eggs and similar symmetric forms. Zbl 07725732Mladenova, Clementina D.; Mladenov, Ivaïlo M. 1 2023 Analytical descriptions of Perseus spirics. Zbl 1508.53011Mladenov, Ivaïlo M. 4 2022 New and old parameterizations of the Cassinian ovals and some applications of them. Zbl 07690561Mladenov, Ivaïlo M. 1 2022 Proceedings of the 22nd international conference on geometry, integrability and quantization, Varna, Bulgaria, June 8–13, 2020. Zbl 1468.53002 1 2021 Cayley map for symplectic groups. Zbl 1484.22016Mladenova, Clementina D.; Mladenov, Ivaïlo M. 1 2021 The spiric sections of Perseus and the uniform parameterizations of the Cassinian ovals. Zbl 1471.53004Mladenov, Ivaïlo M. 3 2020 The rectifications of the Cassinian ovals: third round. Zbl 1458.53009Mladenov, Ivaïlo M. 2 2020 Further deformations of the axially-symmetric non-bending surfaces. Zbl 1443.74231Pulov, Vladimir I.; Mladenov, Ivaïlo M. 2 2020 Explicit parameterizations of non-bending torus-like surfaces. Zbl 1472.74146Pulov, Vladimir I.; Mladenov, Ivaïlo M. 1 2020 Explicit description of some classes of non-bending surfaces. Zbl 1427.74114Pulov, Vladimir I.; Mladenov, Ivaïlo M. 3 2019 Deformations without bending: explicit examples. Zbl 1414.74020Pulov, Vladimir I.; Hadzhilazova, Mariana Ts.; Mladenov, Ivaïlo M. 3 2019 Variations on the theme Euler angles. Zbl 1465.70006Mladenova, C. D.; Mladenov, I. M. 2 2019 Mechanics of infinitesimal test bodies on Delaunay surfaces: spheres and cylinders as limits of unduloids and their action-angle analysis. Zbl 1434.53009Kovalchuk, Vasyl; Gołubowska, Barbara; Mladenov, Ivaïlo 1 2019 From the kinematics of precession motion to generalized Rabi cycles. Zbl 1440.70002Brezov, Danail S.; Mladenova, Clementina D.; Mladenov, Ivaïlo M. 3 2018 On a class of linear Weingarten surfaces. Zbl 1388.53002Pulov, Vladimir I.; Hadzhilazova, Mariana TS.; Mladenov, Ivaïlo M. 3 2018 Analytical representations of Willmore and generalized Willmore surfaces. Zbl 1392.53016Vassilev, Vassil M.; Djondjorov, Peter A.; Hadzhilazova, Mariana Ts.; Mladenov, Ivailo M. 1 2018 The many faces of elastica. Zbl 1398.53008Mladenov, Ivaïlo M.; Hadzhilazova, Mariana 18 2017 Elastic Sturmian spirals in the Lorentz-Minkowski plane. Zbl 1356.53020Uçum, Ali; İlarslan, Kazım; Mladenov, Ivaïlo M. 2 2016 Sturmian spirals in Lorentz-Minkowski plane. Zbl 1320.53018İlarslan, Kazim; Uçum, Ali; Mladenov, Ivaïlo M. 3 2015 Elastic Sturmian spirals. Zbl 1313.53004Marinov, Petko; Hadzhilazova, Mariana; Mladenov, Ivailo 9 2014 A decoupled solution to the generalized Euler decomposition problem in \(\mathbb R^3\) and \(\mathbb R^{2, 1}\). Zbl 1305.70013Brezov, Danail; Mladenova, Clementina; Mladenov, Ivaïlo 5 2014 Similarity and symmetry methods. Applications in elasticity and mechanics of materials. Lecture notes given at the EUROMECH workshop ‘Similarity, symmetry and group theoretical methods in mechanics, Varna, Bulgaria, June 6–9, 2013. Zbl 1297.74006 2 2014 On the decomposition of the infinitesimal (pseudo-)rotations. Zbl 1324.17027Brezov, Danail S.; Mladenova, Clementina D.; Mladenov, Ivaïlo M. 1 2014 Vector parameters in classical hyperbolic geometry. Zbl 1369.51004Brezov, Danail S.; Mladenova, Clementina D.; Mladenov, Ivaïlo M. 4 2013 Equilibrium configurations of lipid bilayer membranes and carbon nanostructures. Zbl 1264.92062Mladenov, Ivaïlo M.; Djondjorov, Peter A.; Hadzhilazova, Mariana Ts.; Vassilev, Vassil M. 3 2013 Analytic description of the viscous fingering interface in a rotating Hele-Shaw cell. Zbl 1382.76066Djondjorov, Peter A.; Vassilev, Vassil M.; Hadzhilazova, Mariana Ts.; Mladenov, Ivaïlo M. 1 2012 On some deformations of the Cassinian oval. Zbl 1237.53004Mladenov, Ivaïlo M.; Hadzhilazova, Mariana Ts.; Djondjorov, Peter A.; Vassilev, Vassil M. 6 2011 On the generalized Sturmian spirals. Zbl 1290.53004Mladenov, Ivailo; Hdzhilazova, Mariana; Djondjorov, Peter; Vassilev, Vassil 5 2011 Vector decomposition of finite rotations. Zbl 1241.70012Mladenova, Clementina D.; Mladenov, Ivaïlo M. 3 2011 New parameterizations of the Cassinian ovals. Zbl 1382.51016Hadzhilazova, Mariana Ts.; Mladenov, Ivaïlo M.; Djondjorov, Peter A.; Vassilev, Vassil M. 3 2011 Analytic description of the equilibrium shapes of elastic rings under uniform hydrostatic pressure. Zbl 1252.74033Djondjorov, Peter A.; Vassilev, Vassil. M.; Mladenov, Ivaïlo M. 2 2011 Cell membranes under hydrostatic pressure subjected to micro-injection. Zbl 1275.74015Vassilev, Vassil M.; Kostadinov, Kostadin G.; Mladenov, Ivaïlo M.; Shulev, Assen A.; Stoilov, Georgi I.; Djondjorov, Peter A. 1 2011 On the plane curves whose curvature depends on the distance from the origin. Zbl 1260.53012Mladenov, I. M.; Hadzhilazova, M. Ts.; Djondjorov, P. A.; Vassllev, V. M. 3 2010 Beyond Delaunay surfaces. Zbl 1203.53007Djondjorov, Peter A.; Hadzhilazova, Mariana Ts.; Mladenov, Ivaïlo M.; Vassilev, Vassil M. 1 2010 Plane curves associated with integrable dynamical systems of the Frenet-Serret type. Zbl 1187.34004Djondjorov, P. A.; Vassilev, V. M.; Mladenov, I. M. 3 2009 Integrable dynamical systems of the Frenet-Serret type. Zbl 1183.37103Vassilev, V. M.; Djondjorov, P. A.; Mladenov, I. M. 3 2009 Balloons, domes and geometry. Zbl 1184.53007Mladenov, Ivaïlo M.; Oprea, John 1 2009 Cylindrical equilibrium shapes of fluid membranes. Zbl 1149.76062Vassilev, V. M.; Djondjorov, P. A.; Mladenov, I. M. 14 2008 Explicit parameterization of Euler’s elastica. Zbl 1196.53004Djondjorov, Peter A.; Hadzhilazova, Mariana Ts.; Mladenov, Ivaïlo M.; Vassilev, Vassil M. 6 2008 An algebraic approach to Saxon-Hutner theorem. Zbl 1192.81133Rashkova, Tsetska G.; Mladenov, Ivaïlo M. 1 2008 Once more the mylar balloon. Zbl 1199.53009Hadzhilazova, Mariana; Mladenov, Ivailo 1 2008 The Mylar balloon: new viewpoints and generalizations. Zbl 1123.53006Mladenov, Ivaïlo M.; Oprea, John 10 2007 Unduloids and their geometry. Zbl 1199.53008Hadzhilazova, Mariana; Mladenov, Ivaïlo M.; Oprea, John 9 2007 On some deformations of the mylar balloon. Zbl 1243.49050Mladenov, Ivaïlo M.; Oprea, John 2 2007 On the translationally-invariant solutions of the membrane shape equation. Zbl 1125.53008Vassilev, Vassil M.; Djondjorov, Peter A.; Mladenov, Ivaïlo M. 1 2007 A new formula for the exponents of the generators of the Lorentz group. Zbl 1098.22008Dimitrov, Georgi K.; Mladenov, Ivaïlo M. 1 2006 New geometrical applications of the elliptic integrals: the Mylar balloon. Zbl 1362.33026Mladenov, Ivaïlo M. 4 2004 Conformal immersions of Delaunay surfaces and their duals. Zbl 1081.53006Mladenov, Ivaïlo M. 2 2004 Geometric symmetry groups, conservation laws and group-invariant solutions of the Willmore equation. Zbl 1073.53008Vassilev, Vassil M.; Mladenov, Ivaïlo M. 1 2004 The Mylar balloon revisited. Zbl 1044.33008Mladenov, Ivaïlo M.; Oprea, John 12 2003 Unduloids and their closed geodesics. Zbl 1051.53005Mladenov, Ivaïlo; Oprea, John 2 2003 On the geometry of the mylar balloon. Zbl 0986.53002Mladenov, I. M. 1 2001 On the geometry of red blood cell. Zbl 0970.92009Angelov, Borislav; Mladenov, Ivaïlo M. 8 2000 Uniformization of the Cassinian oval. Zbl 0960.53003Mladenov, I. M. 3 2000 Deformations of minimal surfaces. Zbl 1040.53004Mladenov, Ivaïlo M.; Angelov, Borislav 2 2000 Reduction in stages and complete quantization of the MIC-Kepler problem. Zbl 0945.53051Mladenov, Ivaïlo M.; Tsanov, Vasil V. 3 1999 Generalization of Goursat transformation of the minimal surfaces. Zbl 0947.53005Mladenov, I. 1 1999 Geometry of the Saxon-Hutner theorem. Zbl 1052.81515Mladenov, Ivaïlo M. 1 1997 Quantization, coherent states, and complex structures. Papers from the 13th Białowieza summer workshop on Geometric methods in physics held, in Bialowieza, Poland, July 9–15, 1994. Zbl 0955.00060 1 1995 Geometric quantization of the five-dimensional Kepler problem. Zbl 0744.58027Mladenov, Ivailo M. 1 1991 Geometric quantisation of the MIC-Kepler problem. Zbl 0658.58051Mladenov, Ivailo M.; Tsanov, Vassil V. 13 1987 Saxon-Hutner theorem for periodic multilayers. Zbl 0646.34053Mladenov, I. M. 1 1987 Geometric quantization of a restricted symplectic model of collective nuclear motion. Zbl 0596.58022Mladenov, I. M.; Rajchev, P. P.; Roussev, R. P. 2 1986 A remark on geometric quantization. Zbl 0626.58020Mladenov, I. M.; Tsanov, V. V. 1 1986 Geometric quantization of the multidimensional Kepler problem. Zbl 0587.58022Mladenov, I.; Tsanov, V. 9 1985 all cited Publications top 5 cited Publications all top 5 Cited by 155 Authors 21 Mladenov, Ivaĭlo M. 7 Mladenova, Clementina D. 6 Brezov, Danail S. 6 Pámpano, Álvaro 5 Castro-Infantes, Ildefonso 5 Castro, Ildefonso 4 Castro-Infantes, Jesús 4 Meng, Guowu 4 Vassilev, Vassil M. 3 Le, Dai-Nam 3 Le, Van Hoang 3 Leach, Peter Gavin Lawrence 3 López Camino, Rafael 3 Pottmann, Helmut 3 Pulov, Vladimir I. 2 Caldiroli, Paolo 2 Chen, Fa 2 Djondjorov, Peter A. 2 Gruber, Anthony 2 Miura, Tatsuya 2 Musso, Emilio 2 Musso, Monica 2 Ou-Yang, Zhong-Can 2 Phan, Ngoc-Hung 2 Pluda, Alessandra 2 Thoi, Tuan-Quoc N. 2 Toda, Magdalena 2 Tu, Zhanchun 2 van Gorder, Robert Ashton 2 Veselov, Alexander Petrovich 2 Wang, Hui 2 Zhang, Haiqiang 1 Altın, Ayşe 1 Ambrož, Petr 1 Andriopoulos, Kostis 1 Asemi, Kamran 1 Aulisa, Eugenio 1 Bai, Zhanqiang 1 Barg, Michael C. 1 Barros, Manuel 1 Bartels, Sören 1 Bates, Larry M. 1 Bektaş Demirci, Burcu 1 Bertoli, Sávio Leandro 1 Blyth, Mark G. 1 Bongardt, Bertold 1 Bracken, Paul Francis 1 Brubaker, Nicholas D. 1 Chen, Jinbing 1 Cho, Joseph 1 Cordani, Bruno 1 da Silva Kalvelage, Pollyana M. 1 Dall’Acqua, Anna 1 Danchev, Daniel M. 1 Davtyan, Levon S. 1 de Almeida, Juliano 1 Deutsch, Michael S. 1 Du, Qiang 1 Dursun, Uǧur 1 Ender, Laércio 1 Fel, Leonid G. 1 Fernández, Isabel 1 Flessas, George P. 1 Franceschini, Paolo 1 Fried, Eliot 1 Gao, Ben 1 Garay, Oscar Jesus 1 Giomi, Luca 1 Giusteri, Giulio G. 1 Gramchev, Todor V. 1 Hadzhilazova, Mariana Ts. 1 Hanna, James A. 1 Harker, Shaun 1 He, Lingchao 1 He, Yuchen 1 Hirai, Takeshi 1 Hu, Fang Qi 1 Iacopetti, Alessandro 1 İlarslan, Kazim 1 Jadczyk, Arkadiusz 1 Jia, Wei 1 Jimenez, Michael R. 1 Kang, Sung Ha 1 Karacan, Murat Kemal 1 Kemp, Graham M. 1 Kiani, Yasser 1 Kovalchuk, Vasyl 1 Lee, Hojoo 1 Liu, Hao 1 Liu, Yang 1 Loi, Andrea 1 Lussardi, Luca 1 Ma, Yi Rong 1 Magnanini, Rolando 1 Mahadevan, Lakshminarayanan 1 Majid, Abdul 1 Mangum, Amanda J. 1 Manno, Gianni 1 Mantegazza, Carlo 1 Mardoyan, Levon ...and 55 more Authors all top 5 Cited in 64 Serials 12 Journal of Mathematical Physics 12 Journal of Geometry and Symmetry in Physics 5 Advances in Applied Clifford Algebras 5 Journal of Nonlinear Mathematical Physics 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal of Mathematical Analysis and Applications 3 Journal of Nonlinear Science 3 Open Mathematics 2 Communications in Mathematical Physics 2 Journal of Geometry and Physics 2 Applied Mathematics and Computation 2 Journal of Geometry 2 Mathematische Annalen 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Mediterranean Journal of Mathematics 1 International Journal of Modern Physics B 1 Computers & Mathematics with Applications 1 International Journal of Theoretical Physics 1 Journal of Fluid Mechanics 1 Physics Letters. A 1 Reports on Mathematical Physics 1 Theoretical and Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Beiträge zur Algebra und Geometrie 1 Advances in Mathematics 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Journal of the Korean Mathematical Society 1 Numerische Mathematik 1 Pacific Journal of Mathematics 1 Computer Aided Geometric Design 1 Discrete & Computational Geometry 1 International Journal of Mathematics 1 Differential Geometry and its Applications 1 Annals of Physics 1 Celestial Mechanics 1 Journal of Elasticity 1 SIAM Journal on Applied Mathematics 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 SIAM Journal on Scientific Computing 1 Calculus of Variations and Partial Differential Equations 1 Journal of the Egyptian Mathematical Society 1 Advances in Differential Equations 1 ELA. The Electronic Journal of Linear Algebra 1 Journal of Mathematical Chemistry 1 Journal of Applied Analysis 1 Nonlinear Dynamics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 New Journal of Physics 1 European Journal of Mechanics. A. Solids 1 Communications in Nonlinear Science and Numerical Simulation 1 Foundations of Computational Mathematics 1 Applied Mathematics E-Notes 1 Communications on Pure and Applied Analysis 1 Milan Journal of Mathematics 1 Analysis and Applications (Singapore) 1 International Journal of Geometric Methods in Modern Physics 1 Boundary Value Problems 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Physics A: Mathematical and Theoretical 1 SIAM Journal on Imaging Sciences 1 Advances in Mathematical Physics 1 Journal of Geometric Mechanics 1 International Journal of Structural Stability and Dynamics 1 Geometric Flows all top 5 Cited in 34 Fields 68 Differential geometry (53-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 20 Quantum theory (81-XX) 17 Mechanics of deformable solids (74-XX) 15 Mechanics of particles and systems (70-XX) 13 Partial differential equations (35-XX) 9 Topological groups, Lie groups (22-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Special functions (33-XX) 8 Geometry (51-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Fluid mechanics (76-XX) 5 Nonassociative rings and algebras (17-XX) 5 Numerical analysis (65-XX) 4 Algebraic geometry (14-XX) 4 Ordinary differential equations (34-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Real functions (26-XX) 3 Convex and discrete geometry (52-XX) 3 Optics, electromagnetic theory (78-XX) 3 Biology and other natural sciences (92-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year