Results 281 to 290 of about 486,818 (332)

Correction for Sharma and DiVincenzo, <i>g</i>-factor symmetry and topology in semiconductor band states. [PDF]

Proc Natl Acad Sci U S A
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Codazzi Tensors and the Topology of Surfaces

Annals of Global Analysis and Geometry, 1998
The authors introduce the notion of \((0,m)\)-Codazzi tensors relative to an affine connection which extends the well-known concept for \(m=2\). The main results are as follows. (1) Let \(M\) be a compact, oriented surface of genus \(\gamma\), and let \(g\) be a Riemannian metric on \(M\). For \(m\geq 2\) define the \(R\)-vector space \({\mathcal R}_m:
Liu, H. L., Simon, U., Wang, C. P.
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Topology of Surfaces

2001
The table below lists the number of edges, vertices, and faces of the five Platonic solids. The table shows that for each Platonic solid we have the relation Name of polyhedron Number V of vertices quotation Number E of edges Number F of faces tetrahedron 4 6 4 cube 8 12 6 ...
V. G. Boltyanskiĭ, V. A. Efremovich
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Topological Approach to Quantum Surfaces

Communications in Mathematical Physics, 1999
A topological approach to quantisation of closed surfaces is presented. This is done by imposing the following ``minimal'' requirements for a quantisation \(R\) of a closed Riemann surface \(\Sigma\) of genus \(g\geq 2\): \(R\) is a unital \(C^*\)-algebra, both \(R\) and \(C(\Sigma)\) are fibres in a continuous family of \(C^*\)-algebras over a path ...
Natsume, Toshikazu, Nest, Ryszard
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Corneal Surface Disease Topology

International Ophthalmology Clinics, 1998
The specific morphology and distribution of corneal surface lesions may point toward a specific diagnosis and pathogenesis in individual cases (see Fig 1). Staining lesions may be fine (e.g., staphylococcal) or punctate (e.g., keratitis sicca). The size and appearance of staining and nonstaining lesions of the epithelium and subepithelial cornea may be
P B, Marsh, I R, Schwab
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On Topological Classification of A-Diffeomorphisms of Surfaces

Journal of Dynamical and Control Systems, 2000
This paper is a review of results obtained by the author and related to the topological classification of discrete dynamical systems (cascades) defined on an orientable smooth closed surface \({\mathcal A}_g\) of genus \(g\geq 0\). Topics are: 1) topological classification of one-dimensional basic sets via automorphisms of fundamental groups, 2 ...
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Dynamics of rough surfaces with an arbitrary topology

Physical Review E, 1994
A model for kinetic growth is presented that allows for overhangs and arbitrary topologies of the growing interface. Numerical studies of the model show that with a choice of the aggregation mechanism equivalent to the one leading to the Kardar-Parisi-Zhang (KPZ) equation [Phys. Rev. Lett. 56, 889 (1986)], we indeed obtain the KPZ results.
P. Keblinski, MARITAN, AMOS, TOIGO, FLAVIO, J. Koplik, J. R. Banavar   +4 more
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Surface topology

2011
Abstract This chapter discusses the topological classification of surfaces, and outlines an approach to a proof.
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Topological H-Surfaces

Canadian Journal of Mathematics, 1965
An H-space is a topological space T for which it is possible to define a continuous binary compositionwith the following properties: there exists a homotopy unit, i.e.
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The Topological Theory of Frechet Surfaces

The Annals of Mathematics, 1944
The object of this paper is the study of surfaces. As the title indicates we do not propose to consider all the mathematical entities to which the term surface has been applied, and, in fact, our first obligation is to define precisely the objects of our attention.
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