All Stories

  1. Bloch-Messiah Decompositions of Symmetric Ray Transfer Matrices in \({\mathbb R}^4\)
  2. Explicit Parameterizations and Decompositions of Symplectic Matrices in \({\Bbb R}^4\)
  3. On the Shape of the Red Blood Cells
  4. Explicit Parameterizations of Ortho-Symplectic Matrices in R4
  5. Parameterizations of Delaunay Surfaces from Scratch
  6. Geometry of Enumerable Class of Surfaces Associated with Mylar Balloons
  7. Comparison of main geometric characteristics of deformed sphere and standard spheroid
  8. Explicit Solutions of Two-Center Problem in the Plane: Negative Energies
  9. Mechanics of infinitesimal gyroscopes on helicoid-catenoid deformation family of minimal surfaces
  10. Mylar Balloon and Associated Geometro-Mechanical Moments
  11. Geometry of the Ovoids: Avian Eggs and Similar Asymmetric Forms
  12. Explicit Solutions for Geodetic Problems on the Deformed Sphere as Reference Model for the Geoid
  13. Geometry of the Ovoids: Reptilian Eggs and Similar Symmetric Forms
  14. Yet Another Mathematical Model of Eggs: Two-Parametric Brandt's Shapes
  15. λ‐spheres as a new reference model for the geoid
  16. The Geometry of the Kiepert Trefoil
  17. λ-Spheres as a New Reference Model for Geoid: Explicit Solutions of the Direct and Inverse Problems for Loxodromes (Rhumb Lines)
  18. Mechanics of incompressible test bodies moving on λ‐spheres
  19. Numerical Ranges of the Real 2×2 Matrices Derived by First Principles
  20. Explicit Solution of the Focus Locus Problem for the Harmonic Oscillator Orbits in the Plane
  21. Analytical Descriptions of Perseus Spirics
  22. New and Old Parameterizations of the Cassinian Ovals and Some Applications
  23. A Plethora of Non-Bending Surfaces of Revolution: Classifications and Explicit Parameterizations
  24. Cayley Map for Symplectic Groups
  25. New Parameterizations of \(\mathrm{SL}(2,\mathbb{R})\) and Some Explicit Formulas for Its Logarithm
  26. Classical motions of infinitesimal rotators on Mylar balloons
  27. Mechanics of infinitesimal gyroscopes on Mylar balloons and their action‐angle analysis
  28. Explicit Parameterizations of Non-Bending Torus-Like Surfaces
  29. Further Deformations of the Axially-Symmetric Non-Bending Surfaces
  30. Rotations in ${\mathbb R}^3$ and their Parametric Representations
  31. The Rectifications of the Cassinian Ovals: Third Round
  32. The Spiric Sections of Perseus and the Uniform Parameterizations of the Cassinian Ovals
  33. Torus-Like Balloons
  34. Deformations Without Bending: Explicit Examples
  35. Explicit Description of Some Classes of Non-Bending Surfaces
  36. Some Classes of Shapes of the Rotating Liquid Drop
  37. Rotating Liquid Drops and Delaunay Surfaces
  38. Mechanics of Infinitesimal Test Bodies on Delaunay Surfaces: Spheres and Cylinders as Limits of Unduloids and Their Action-Angle Analysis
  39. Alternative Description of Rigid Body Kinematics and Quantum Mechanical Angular Momenta
  40. From the Kinematics of Precession Motion to Generalized Rabi Cycles
  41. On a Class of Linear Weingarten Surfaces
  42. The Many Faces of Elastica
  43. Factorizations in Special Relativity and Quantum Scattering on the Line
  44. Trajectories of the Plate-Ball Problem
  45. Cayley Map and Higher Dimensional Representations of Rotations
  46. Generalized Euler Angles Viewed as Spherical Coordinates
  47. Biological Membranes
  48. Exact Solutions and Applications
  49. Surface Tension and Equilibrium
  50. Equations of Equilibrium States of Membranes
  51. Planar Curves Whose Curvature Depends Only on the Distance From a Fixed Point
  52. On the geometry of the rotating liquid drop
  53. Elastic Sturmian spirals in the Lorentz-Minkowski plane
  54. Factorizations in special relativity and quantum scattering on the line II
  55. Axially Symmetric Willmore Surfaces Determined by Quadratures
  56. A New Characterization of Eulerian Elasticas
  57. Vector-Parameter Forms of SU(1,1), SL(2,R) and Their Connection to SO(2,1)
  58. Wigner rotation and Thomas precession: geometric phases and related physical theories
  59. Comment on “Shape transition of unstrained flattest single-walled carbon nanotubes under pressure” [J. Appl. Phys. 115, 044512 (2014)]
  60. Sturmian Spirals in Lorentz-Minkowski Plane
  61. On the necessary and sufficient condition for the decomposition of orthogonal transformations
  62. The Mylar Balloon: An Alternative Description
  63. Membrane fusion based on the geometry of the stalk model
  64. On the compositions of rotations
  65. Variations of (pseudo-)rotations and the Laplace-Beltrami operator on homogeneous spaces
  66. New forms of the equations of the attitude kinematics
  67. Similarity and Symmetry Methods
  68. Vector Parameters in Classical Hyperbolic Geometry
  69. Generalized Euler decompositions of some six-dimensional Lie groups
  70. Symmetries and Some Special Solutions of the Helfrich Model
  71. Lie Group Analysis of the Willmore and Membrane Shape Equations
  72. Covariant Decomposition of the Three-Dimensional Rotations
  73. A Decoupled Solution to the Generalized Euler Decomposition Problem in $\mathbb{R}^3$ and $\mathbb{R}^{2,1}$
  74. Motion of Particles in the Equatorial Plane of a Magnetic Dipole Field
  75. Elastic spirals
  76. Explicit parametrizations of Willmore surfaces
  77. Two-axes decompositions of (pseudo-)rotations and some of their applications
  78. Equilibrium Configurations of Lipid Bilayer Membranes and Carbon Nanostructures
  79. Vector Parameters in Classical Hyperbolic Geometry
  80. • Cylindrical Fluid Membranes and the Evolutions of Planar Curves
  81. • Symmetry Properties of the Membrane Shape Equation
  82. Unduloid-like Equilibrium Shapes of Carbon Nanotubes Subjected to Hydrostatic Pressure
  83. Some new results on three-dimensional rotations and pseudo-rotations
  84. New perspective on the gimbal lock problem
  85. Traveling wave solutions of the one-dimensional Boussinesq paradigm equation
  86. Vector Parameters in Classical Hyperbolic Geometry
  87. An approach for decomposition of finite rotations
  88. Serret’s Curves, their Generalization and Explicit Parametrizations
  89. Deformation of injected vesicles adhering onto flat rigid substrates
  90. Beyond Delaunay Surfaces
  91. On the Translationally-invariant Solutions of the Membrane Shape Equation
  92. Explicit Parameterization of Euler’s Elastica
  93. Conformal Immersions of Delaunay Surfaces and Their Duals
  94. Beyond Delaunay Surfaces
  95. Quantization on Curved Manifolds
  96. Deformations of Minimal Surfaces
  97. Balloons, Domes and Geometry
  98. Unduloids and their Closed Geodesics
  99. Prequantization of the Rotational Motion
  100. New Parameterizations of the Cassinian Ovals
  101. Geometry of the anisotropic minimal surfaces
  102. Analytic Description of the Viscous Fingering Interface in a Hele-Shaw Cell
  103. Geometric Symmetry Groups, Conservation Laws and Group-Invariant Solutions of the Willmore Equation
  104. The Mylar Ballon: New Viewpoints and Generalizations
  105. A Note on the Passage from the Free to the Elastica with a Tension
  106. About parametric representations of SO(n) matrices and plane rotations
  107. A Relation Between the Cylindric Fluid Membranes and the Motions of Planar Curves
  108. Vector Decompositions of Rotations
  109. On the Uncertainty Relations in Stochastic Mechanics
  110. A Mathematical Examination of Squeezing and Stretching of Spherical Vesicles
  111. A New Formula For the Exponents of the Generators of the Lorentz Group
  112. Membrane Approach to Balloons and Some Related Surfaces
  113. On the Geometry of Axisymmetric Vesicles
  114. On the Uncertainty Relations in Stochastic Mechanics
  115. Analytic description and explicit parametrisation of the equilibrium shapes of elastic rings and tubes under uniform hydrostatic pressure
  116. Vector decomposition of finite rotations
  117. Preface
  118. Preface
  119. Cell Membranes Under Hydrostatic Pressure Subjected to Micro-Injection
  120. Analytic Description of the Equilibrium Shapes of Elastic Rings Under Uniform Hydrostatic Pressure
  121. On Some Deformations of the Cassinian Oval
  122. Travelling Waves for Some Generalized Boussinesq Type Equations
  123. Analytic Description of the Equilibrium Shapes of Elastic Rings Under Uniform Hydrostatic Pressure
  124. Cell Membranes Under Hydrostatic Pressure Subjected to Micro-Injection
  125. Traveling Wave Solutions of the Gardner Equation and Motion of Plane Curves Governed by the mKdV Flow
  126. On Some Deformations of the Cassinian Oval
  127. On the Plane Curves whose Curvature Depends on the Distance from the Origin
  128. Some Explicit Solutions of the Shape Equation
  129. PLANE CURVES ASSOCIATED WITH INTEGRABLE DYNAMICAL SYSTEMS OF THE FRENET-SERRET TYPE
  130. INTEGRABLE DYNAMICAL SYSTEMS OF THE FRENET-SERRET TYPE
  131. Instability of Protein Drops via Applied Electric Field: Mathematical and Experimental Aspects
  132. On the Whewell Parametrization of the Euler Elastica
  133. Cylindrical equilibrium shapes of fluid membranes
  134. On The intrinsic equation behind the Delaunay surfaces
  135. ON THE ALGEBRAIC ASPECTS OF SAXON-HUTNER THEOREM
  136. An approach to reduction of the real symmetric 3 × 3 secular problem and applications
  137. New Geometrical Applications of the Elliptic Integrals: The Mylar Balloon
  138. The Mylar Balloon Revisited
  139. The Mylar Balloon Revisited
  140. New solutions of the shape equation
  141. Quantization on curved surfaces
  142. Reduction in stages and complete quantization of the MIC-Kepler problem
  143. Geometry of the Saxon-Hutner theorem
  144. The matrizant and Saxon - Hutner theorem
  145. Saxon-Hutner theorem via matrix exponential
  146. Kirkwood's formula revisited
  147. On the Spectrum of the Geodesic Flow on Spheres
  148. Quantization and Infinite-Dimensional Systems
  149. On Debye-Hückel's Theory
  150. Quantization of the moment map of coupled harmonic oscillators
  151. GROUP REPRESENTATIONS AND QUANTIZATION OF THE MOMENTUM MAP
  152. Geometric quantization of the five-dimensional Kepler problem
  153. Reductions and quantization
  154. An extension of the Saxon-Hutner theorem in the relativistic domain
  155. Generalization of the Saxon-Hutner Theorem in the Relativistic Domain
  156. Scattering of charged particles off dyons
  157. Geometric quantisation of the MIC-Kepler problem
  158. Geometric quantization of the multidimensional Kepler problem
  159. Method for computing the characteristic polynomial
  160. 12. A quantum mechanical study on hormonal steroids
  161. On the Decomposition of an Infinitesimal Group
  162. Geometric quantization of the five-dimensional Kepler problem
  163. Geometric quantization of the Kepler problem with a magnetic charge