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Vertices and inflexions of plane sections of surfaces in R^3
v2: 22 pages, Latex. Added references and comments, 10 figures. Proof of main result improved, after discussions with Prof. Terry Wall. See also: http://www.liv.ac.uk/~pjgiblin/... -
Level sets of functions and symmetry sets of smooth surface sections
15 pages, Latex, 6 grouped figures. The final version will appear in Mathematics of Surfaces. Lecture Notes in Computer Science (2005) -
Perestroikas of vertex sets at umbilic points
V2: Latex, 17 pages, 9 figures. Some minor misprints added. Interesting comments from Prof. V.I. Arnold added -
Using simple shape three-dimensional inclusions to enhance porous layer absor...
Submitted version to Journal of the Acoustical Society of America in June 2013. A revised version has been resubmitted in February 2014. -
Left Invariant Contact Structures on Lie Groups
17 pages, Latex. Added references, examples and comments, corrected typos -
Pre-Symmetry Sets of 3D shapes
ACM-class: I.2; I.5; I.4; J.2. Latex, 3 grouped figures. The final version will appear in the proceedings of the First International Workshop on Deep Structure, Singularities... -
Focusing: coming to the point in metamaterials
Version 2: 22 pages, 11 figures. More figures added, additional cases discussed. Misprints corrected. Keywords: Maxwell fisheye, Eaton lens; Non-Euclidean geometry;... -
Distinguishing properties of weak slice conditions II
16 pages, 3 enclosed latex figures. Key Words and Phrases: slice conditions, quasihyperbolic metric. The final version appeared at International Journal of Pure and Applied... -
Cloaking via change of variables in elastic impedance tomography
latex, 2 figures, 11 pages, submitted -
Automorphisms of cotangent bundles of Lie groups
Let G be a Lie group, $T^*G$ its cotangent bundle with its natural Lie group structure obtained by performing a left trivialization of T^*G and endowing the resulting... -
Lattices in contact Lie groups and 5-dimensional contact solvmanifolds
16 pages. Latex. Paper already submitted -
Geometry of isophote curves
15 pages, 7 figures -
Tessellated and stellated invisibility
We derive the expression for the anisotropic heterogeneous matrices of permittivity and permeability associated with two-dimensional polygonal and star shaped cloaks.... -
Acoustic cloaking and mirages with flying carpets
26 pages, 9 figures. Key words: Mathematical methods in physics; Mathematical Physics, electromagnetic theory; Metamaterials;Anisotropic optical materials; invisibility; cloak -
Non-singular cloaks allow mimesis
Version 2: 23 pages, 9 figures. More figures added. Misprints corrected. OCIS Codes: (000.3860) Mathematical methods in physics; (260.2110) Electromagnetic theory; (160.3918)... -
Numerical Analysis of Three-dimensional Acoustic Cloaks and Carpets
Latex, 21 pages, 7 Figures, last version submitted to Wave Motion. OCIS Codes: (000.3860) Mathematical methods in physics; (260.2110) Electromagnetic theory; (160.3918)... -
On properties of principal elements of Frobenius Lie algebras
Latex, 16 pages, submitted. Keywords and phrases: Frobenius Lie algebra, affine Lie algebra, Left symmetric Lie algebra, affine motion, symplectic Lie algebra, seaweed Lie... -
Metamaterials and the mathematical Science of invisibility
This is a book chapter. 22 pages, 7 figures -
Isgur-Wise functions, Bjorken-Uraltsev Sum Rules and their Lorentz group inte...
In the heavy quark limit of QCD, using the Operator Product Expansion and the non-forward amplitude, as proposed by Nikolai Uraltsev, we formulate sum rules that...
