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Science China Mathematics, ISSN 1674-7283, 11/2019, Volume 62, Issue 11, pp. 2195 - 2210
We make some observations concerning the one-dimensional collapsing geometry of four-dimensional hyperkähler metrics. 
K3 manifold | hyperkähler metrics | collapsing | Mathematics | Applications of Mathematics | 53C25 | 51P05
Journal Article
Journal of the Mechanics and Physics of Solids, ISSN 0022-5096, 07/2018, Volume 116, pp. 290 - 322
The stored energy of an unstretchable material surface is assumed to depend only upon the curvature tensor. By control of its edge(s), the surface is deformed... 
14J26 | Isometry | MSC 49Q10 | 49S05 | Relative minimum | Developable | 37D35 | 35Q74 | 35J58 | Ruled | Unstretchable | 51P05 | Inextensional | PHYSICS, CONDENSED MATTER | MATERIALS SCIENCE, MULTIDISCIPLINARY | REPRESENTATION | MOBIUS BAND | SHAPE | MECHANICS | Force and energy
Journal Article
Letters in Mathematical Physics, ISSN 0377-9017, 2/2019, Volume 109, Issue 2, pp. 243 - 293
Vector bundles and double vector bundles, or twofold vector bundles, arise naturally for instance as base spaces for algebraic structures such as Lie... 
Geometry | Double vector bundle | 32C11 | Theoretical, Mathematical and Computational Physics | Complex Systems | Lie algebroid | Graded manifold | Group Theory and Generalizations | 51P05 | Physics | 53D17
Journal Article
Letters in Mathematical Physics, ISSN 0377-9017, 1/2017, Volume 107, Issue 1, pp. 1 - 30
Journal Article
Letters in Mathematical Physics, ISSN 0377-9017, 9/2019, Volume 109, Issue 9, pp. 1961 - 2001
We propose that the grand canonical topological string partition functions satisfy finite-difference equations in the closed string moduli. In the case of... 
Topological string theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Supersymmetric gauge theory | Painlevé equations | 34M55 | Physics | Geometry | 15B52 | 81T13 | Spectral theory | 14H70 | 81T60 | Group Theory and Generalizations | 51P05 | 81Q10 | STRINGS | Painleve equations | INTEGRABLE MAPPINGS | SYMMETRY | DUALITY | SYSTEMS | PHYSICS, MATHEMATICAL | OPERATORS | String theory | Resveratrol
Journal Article
Journal of Geometry, ISSN 0047-2468, 4/2016, Volume 107, Issue 1, pp. 169 - 185
A non-zero element of the Lie algebra $${\mathfrak{se}(3)}$$ se ( 3 ) of the special Euclidean spatial isometry group SE(3) is known as a twist and the... 
Geometry | 70B15 | Secondary 51P05 | Primary 13A50 | Mathematics | Euclidean isometry group | polynomial invariant | dual number | Robots | Algebra
Journal Article
Journal of Geometry, ISSN 0047-2468, 12/2015, Volume 106, Issue 3, pp. 455 - 463
We derive several results in classical Euclidean elementary geometry using the steering ellipsoid formalism from quantum mechanics. This gives a physically... 
Geometry | Mathematics | 51P05 | 51M16 | 51M04 | 81P40 | Quantum theory
Journal Article
Letters in Mathematical Physics, ISSN 0377-9017, 6/2019, Volume 109, Issue 6, pp. 1271 - 1302
Recently, an exact duality between topological string and the spectral theory of operators constructed from mirror curves to toric Calabi–Yau threefold has... 
70S15 | Theoretical, Mathematical and Computational Physics | Complex Systems | 14N35 | Supersymmetric gauge theory | 14D21 | Physics | Quantum and spectral theory | 55P50 | Geometry | 81T13 | Topological string | 57R56 | Blowup equations | 81T60 | Group Theory and Generalizations | 51P05 | 81Q10 | 81Q80 | 81Q60 | TOPOLOGICAL STRINGS | DONALDSON INVARIANTS | DUALITY | FORMULA | PHYSICS, MATHEMATICAL | CURVES
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 02/2015, Volume 422, Issue 2, pp. 1402 - 1413
In this paper first we describe all (not necessarily linear or bijective) transformations on Rd with 2≤d<∞ which preserve the area of parallelograms spanned by... 
Commutativity of self-adjoint operators | Area of parallelogram | Preserver problems | Unitarily invariant norm | MATHEMATICS | COMMUTATIVITY | MATHEMATICS, APPLIED | WIGNERS THEOREM | PROOF | TRANSFORMATIONS | Analysis | Quantum theory | Mathematics - Functional Analysis
Journal Article
Journal of Nonlinear Science, ISSN 0938-8974, 12/2017, Volume 27, Issue 6, pp. 1743 - 1787
Journal Article
Zeitschrift für angewandte Mathematik und Physik, ISSN 0044-2275, 2/2017, Volume 68, Issue 1, pp. 1 - 38
A theory of deformation of continuous media based on concepts from Finsler differential geometry is presented. The general theory accounts for finite... 
Phase transformations | Differential geometry | Elasticity | Fracture | Theoretical and Applied Mechanics | Engineering | Mathematical Methods in Physics | 74A05 | Continuum mechanics | 74A45 | 51P05 | Microstructure | 74B20 | MATHEMATICS, APPLIED | DEFECTS | ENERGY | FINITE ELASTOPLASTICITY | SLIP | BRITTLE-FRACTURE | MODEL | DEFORMATION | NONLINEAR ELASTICITY | BORON-CARBIDE | CRYSTALS | Fractures (Geology)
Journal Article
Vietnam Journal of Mathematics, ISSN 2305-221X, 3/2019, Volume 47, Issue 1, pp. 183 - 193
The “Monstrous Moonshine” conjecture (now a theorem) of Conway and Nortan has given rise to a large body of new mathematics. This theorem has been extended to... 
String theory | 11F46 | 83C45 | Mock moonshine | Black holes | 83C57 | Mathematics | Moonshine | 81T30 | Mathematics, general | Mock modular forms | 51P05 | Quantum gravity
Journal Article
Advances in Applied Clifford Algebras, ISSN 0188-7009, 11/2018, Volume 28, Issue 5, pp. 1 - 17
Journal Article
Annales Henri Poincaré, ISSN 1424-0637, 9/2017, Volume 18, Issue 9, pp. 3049 - 3096
Journal Article
International Journal of Geometric Methods in Modern Physics, ISSN 0219-8878, 04/2018, Volume 15, Issue 4
We associate the lepton-quark families with the vertices of the 4D polytopes 5-cell (0001) (A4) and the rectified 5-cell (0100) (A4) derived from the SU(5)... 
Coxeter groups | Delone cells | Voronoi cell | polytope | SU GUT | LEPTONS | GROUP-THEORETICAL-ANALYSIS | COXETER GROUP W(H-4) | MODEL | PHYSICS, MATHEMATICAL | QUATERNIONS
Journal Article
Journal of Mathematical Chemistry, ISSN 0259-9791, 11/2015, Volume 53, Issue 10, pp. 2184 - 2190
Journal Article
Advances in Applied Clifford Algebras, ISSN 0188-7009, 3/2017, Volume 27, Issue 1, pp. 805 - 828
A new general method of computational electromagnetism based on extremizing the electromagnetic action using the geometric algebra of space-time is described.... 
Mathematical Methods in Physics | Computational electromagnetism | Lagrangian | Least action | Theoretical, Mathematical and Computational Physics | 83A05 | Geometric algebra | 78M10 | Applications of Mathematics | Physics, general | 51P05 | Physics | MATHEMATICS, APPLIED | PHYSICS, MATHEMATICAL | Methods | Algebra | Electromagnetism
Journal Article
Advances in Applied Clifford Algebras, ISSN 0188-7009, 7/2018, Volume 28, Issue 3, pp. 1 - 15
In the present paper a general setup for the determination of imperfect geometry of radiotherapeutic devices has been proposed that is based on a geometric... 
Mathematical Methods in Physics | Secondary 51P05 | 70Q05 | Linac | Theoretical, Mathematical and Computational Physics | Geometric algebra | Applications of Mathematics | Physics, general | Radiotherapy | Physics | Primary 51A05 | Computer science | Algebra | Mechanical engineering | Analysis | Radiation | Physics - Medical Physics
Journal Article
The College Mathematics Journal, ISSN 0746-8342, 03/2018, Volume 49, Issue 2, pp. 93 - 102
Iteratively subdividing a triangle, we locate its center of mass in a manner that melds two approaches taken by Archimedes. Still keeping well within his... 
37F40 | 51P05
Journal Article