All Stories

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